3-D Source Seeking for Underactuated Vehicles Without Position Measurement

3D nonholonomic source seeking without position measurement

A Closed-Form Feedback Controller for Stabilization of Linearized Navier-Stokes Equations: The 2D Poisseuille Flow

A Closed-Form Feedback Controller for Stabilization of the Linearized 2-D Navier–Stokes Poiseuille System

A Closed-Form Full-State Feedback Controller for Stabilization of 3D Magnetohydrodynamic Channel Flow

A Closed-Form Observer for the Channel Flow Navier-Stokes System

A Control Lyapunov Approach to Finite Control Set Model Predictive Control for Permanent Magnet Synchronous Motors

A Predictor Observer for Seeker Delay in the Missile Homing Loop

A Simple HCCI Engine Model for Control

A Single Forward-Velocity Control Signal for Stochastic Source Seeking With Multiple Nonholonomic Vehicles

A Single-Phase to Three-Phase Power Conversion System with Reduced Switches and Improved Output Voltages

A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function

article published in 2011

A new tracking controller for neuromuscular electrical stimulation under input delays: Case study in prediction

A simple HCCI engine model for control

A swapping design based adaptive observer for n + 1 coupled linear hyperbolic PDEs

Active control of blade vortex interaction noise on a helicopter blade element

Adaptive Backstepping Cancelation of Unmatched Unknown Sinusoidal Disturbances for LTI Systems by State Derivative Feedback

Adaptive Boundary Control for Unstable Parabolic PDEs—Part I: Lyapunov Design

Adaptive Cancelation of Matched Unknown Sinusoidal Disturbances for LTI Systems by State Derivative Feedback

Adaptive Cancellation of Matched Unknown Sinusoidal Disturbances for LTI Systems by State Derivative Feedback

Adaptive Control With Exponential Regulation in the Absence of Persistent Excitation

Adaptive Control of Anti-stable Wave PDE Systems: Theory and Applications in Oil Drilling

Adaptive Control of Hyperbolic PDEs Coupled with a Disturbed and Highly Uncertain ODE

scientific article published in 2021

Adaptive Control via Extremum Seeking: Global Stabilization and Consistency of Parameter Estimates

article

Adaptive Identification of a Linear Unstable Parabolic System with Boundary Sensing and Actuation

Adaptive Observer for a Class of Output-Delayed Systems with Parameter Uncertainty - A PDE Based Approach

Adaptive Observer for a Class of Parabolic PDEs

Adaptive Output Feedback Control for Uncertain Linear Time-Delay Systems

Adaptive PDE Observer for Battery SOC/SOH Estimation

Adaptive Partial Differential Equation Observer for Battery State-of-Charge/State-of-Health Estimation Via an Electrochemical Model

article

Adaptive backstepping cancelation of unmatched unknown sinusoidal disturbances for unknown LTI systems by state derivative feedback

article published in 2012

Adaptive backstepping control of uncertain linear systems under unknown actuator delay

Adaptive backstepping with exponential regulation in the absence of persistent excitation

Adaptive boundary control for unstable parabolic PDEs—Part II: Estimation-based designs

Adaptive boundary control for unstable parabolic PDEs—Part III: Output feedback examples with swapping identifiers

Adaptive boundary control of constant-parameter reaction–diffusion PDEs using regulation-triggered finite-time identification

scientific article published in 2019

Adaptive boundary observer for parabolic PDEs subject to domain and boundary parameter uncertainties

article by Tarek Ahmed-Ali et al published October 2016 in Automatica

Adaptive compensation of diffusion-advection actuator dynamics using boundary measurements

article

Adaptive control of PDEs

Adaptive control of PDEs with uncertain and spatially variable parameters

Adaptive control of an anti-stable wave PDE

Adaptive event-triggered PDE control for load-moving cable systems

scientific article published in 2021

Adaptive finite time coordinated consensus for high-order multi-agent systems: Adjustable fraction power feedback approach

Adaptive identification of two unstable PDEs with boundary sensing and actuation

scholarly article by Andrey Smyshlyaev et al published February 2009 in International Journal of Adaptive Control and Signal Processing

Adaptive nonlinear control with nonlinear swapping

Adaptive nonlinear design with controller-identifier separation and swapping

article by Miroslav Krstić et al published March 1995 in IEEE Transactions on Automatic Control

Adaptive nonlinear output-feedback schemes with Marino-Tomei controller

Adaptive observer design with heat PDE sensor

Adaptive observer for parabolic PDEs with uncertain parameter in the boundary condition

Adaptive output feedback control for complex-valued reaction-advection-diffusion systems

Adaptive output feedback for hyperbolic PDE pairs with non-local coupling

Adaptive output feedback for oil drilling stick-slip instability modeled by wave PDE with anti-damped dynamic boundary

Adaptive output-feedback control of torsional vibration in off-shore rotary oil drilling systems ⬇️

scholarly article

Adaptive output-feedback for wave PDE with anti-damping - application to surface-based control of oil drilling stick-slip instability

Adaptive output-feedback stabilization of non-local hyperbolic PDEs

Adaptive predictor control for stabilizing pressure in a managed pressure drilling system under time-delay

Adaptive rejection of harmonic disturbance anticollocated with control in 1D wave equation

Adaptive sinusoidal disturbance cancellation for unknown LTI systems despite input delay

Adaptive sinusoidal disturbance cancellation for unknown LTI systems despite input delay

Adaptive stabilization of LTI systems with distributed input delay

scholarly article by Nikolaos Bekiaris-Liberis et al published 26 September 2012 in International Journal of Adaptive Control and Signal Processing

Adaptive stabilization of LTI systems with distributed input delay

Adaptive tracking controller for systems with unknown long delay and unknown parameters in the plant

article

Adaptive trajectory tracking despite unknown input delay and plant parameters

article

Adaptive wave cancelation by acceleration feedback for ramp-connected air cushion-actuated surface effect ships

Advances in robust and nonlinear control of distributed parameter systems

scholarly article by Andras Balogh & Miroslav Krstić published 2006 in International Journal of Robust and Nonlinear Control

Aircraft Endurance Maximization at Medium Mach Numbers by Extremum Seeking

An Adaptive Observer Design for $n+1$ Coupled Linear Hyperbolic PDEs Based on Swapping

An ODE Observer for Lyapunov-Based Global Stabilization of a Bioreactor Nonlinear PDE

An extremum seeking approach to sampled-data iterative learning control of continuous-time nonlinear systems**This research was supported in part by the Institute for Mathematics and its Applications with funds provided by the National Science Founda

Analysis and design of multivariable extremum seeking

Antistable Wave PDE with Input Delay

Antiwindup scheme for plasma shape control with rate and magnitude actuation constraints in the DIII-D tokamak

Approximate and sampled-data predictors for control of nonlinear delay systems

Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback

Auto-tuning of PID controllers via extremum seeking

Averaging analysis of periodically forced fluid networks

article published in 2005

Axial Vibration Suppression in a Partial Differential Equation Model of Ascending Mining Cable Elevator

scientific article published in 2018

Backstepping Boundary Control of Navier-Stokes Channel Flow: Explicit Gain Formulae in 3D

Backstepping Boundary ControlA Tutorial

Backstepping Boundary Controllers and Observers for the Slender Timoshenko Beam: Part I--Design

Backstepping Boundary Controllers for Tip-Force Induced Flexible Beam Instabilities Arising in AFM

Backstepping Boundary Stabilization of Linearized 2D Hartman Flow

Backstepping Control of a Hyperbolic PDE System with Zero Characteristic Speed

scientific article published in 2022

Backstepping Designs in the Presence of Non-constant Delays on the Virtual Input

Backstepping and flatness approaches for stabilization of the stick-slip phenomenon for drilling

Backstepping boundary control for PDEs with non-constant diffusivity and reactivity

Backstepping boundary control for first order hyperbolic PDEs and application to systems with actuator and sensor delays

Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays

Backstepping boundary control of Navier-Stokes channel flow: a 3D extension

Backstepping boundary stabilization and state estimation of a 2 × 2 linear hyperbolic system

Backstepping control of an aeroelastic system with large Mach numbers

Backstepping control of the Stefan problem with flowing liquid

Backstepping control of the one-phase stefan problem

Backstepping observers for a class of parabolic PDEs

Backstepping stabilization of the linearized Saint-Venant-Exner Model: Part I - state feedback

Backstepping stabilization of the linearized Saint-Venant-Exner Model: Part II- output feedback

Backstepping stabilization of the linearized Saint-Venant–Exner model

Backstepping-Based Exponential Stabilization of Timoshenko Beam with Prescribed Decay Rate

scientific article published in 2022

Backstepping-Forwarding Control and Observation for Hyperbolic PDEs With Fredholm Integrals

Backstepping-forwarding boundary control design for first-order hyperbolic systems with Fredholm integrals

article published in 2014

Backstepping-forwarding control of parabolic PDEs with partially separable kernels

Basic Predictor Feedback

Batch-to-Batch Finite-Horizon LQ Control for Unknown Discrete-Time Linear Systems Via Stochastic Extremum Seeking

Battery State Estimation for a Single Particle Model With Electrolyte Dynamics

Beam matching adaptive control via extremum seeking

Bilateral boundary control of one-dimensional first- and second-order PDEs using infinite-dimensional backstepping

Boundary Backstepping Control of Flow-Induced Vibrations of a Membrane at High Mach Numbers

article

Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients

Boundary Control of the Linearized Ginzburg--Landau Model of Vortex Shedding

Boundary Controllers and Observers for the Linearized Schrödinger Equation

Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems

scientific article published in 2019

Boundary Observer for Output-Feedback Stabilization of Thermal-Fluid Convection Loop

Boundary Parameter and State Estimation in General Linear Hyperbolic PDEs

Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping

Boundary control and estimation of reaction–diffusion equations on the sphere under revolution symmetry conditions

Boundary control of a cascade of two parabolic PDEs with different diffusion coefficients

Boundary control of a singular reaction-diffusion equation on a disk

Boundary control of an anti-stable wave equation with anti-damping on the uncontrolled boundary

Boundary control of an anti-stable wave equation with anti-damping on the uncontrolled boundary

Boundary control of an unstable heat equation via measurement of domain-averaged temperature

Boundary control of coupled reaction-diffusion systems with spatially-varying reaction

article published in 2016

Boundary control of the Korteweg-de Vries-Burgers equation: further results on stabilization and well-posedness, with numerical demonstration

Boundary controllers and observers for Schrödinger equation

Boundary controllers for Euler-Bernoulli beam with arbitrary decay rate

Boundary feedback stabilization of homogeneous equilibria in unstable fluid mixtures

Boundary observer design for coupled reaction-diffusion systems with spatially-varying reaction

Boundary observer design for hyperbolic PDE–ODE cascade systems

Boundary stabilization of an anti-stable wave equation with in-domain anti-damping

Bounded Integral Control of Input-to-State Practically Stable Nonlinear Systems to Guarantee Closed-Loop Stability

Bounded droop controller for accurate load sharing among paralleled inverters

Bounded droop controller for parallel operation of inverters

Bounded integral control for regulating input-to-state stable non-linear systems

Boundedness of Synchronverters

Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations

Collectively Rotating Formation and Containment Deployment of Multiagent Systems: A Polar Coordinate-Based Finite Time Approach

scientific article published on 14 December 2016

Combustion distribution control using the extremum seeking algorithm

Compensating a String PDE in the Actuation or Sensing Path of an Unstable ODE

Compensating a string PDE in the actuation or sensing path of an unstable ODE

Compensating actuator and sensor dynamics governed by diffusion PDEs

article

Compensating the Distributed Effect of Diffusion and Counter-Convection in Multi-Input and Multi-Output LTI Systems

Compensating the Distributed Effect of a Wave PDE in the Actuation or Sensing Path of Multi-Input and Multi-Output LTI Systems

Compensating the distributed effect of a wave PDE in the actuation or sensing path of MIMO LTI systems

Compensating the distributed effect of counter-convection and diffusion in multi-input and multi-output LTI systems

Compensation of Spatially Varying Input Delay in Distributed Control of Reaction-Diffusion PDEs

scientific article published in 2021

Compensation of State-Dependent Input Delay for Nonlinear Systems

Compensation of Time-Varying Input and State Delays for Nonlinear Systems

Compensation of Wave Actuator Dynamics for Nonlinear Systems

article

Compensation of Wave PDEs in Actuator Dynamics for Extremum Seeking Feedback

scientific article published in 2019

Compensation of infinite-dimensional input dynamics

article

Compensation of input delay that depends on delayed input

Compensation of state-dependent input delay for nonlinear systems

Compensation of state-dependent state delay for nonlinear systems

Compensation of time-varying input delay for discrete-time nonlinear systems

Compensation of time-varying input delay for nonlinear systems

article published in 2011

Constrained extremum seeking in 1 dimension

scholarly article published December 2014

Continuous-Time Stochastic Averaging on the Infinite Interval for Locally Lipschitz Systems

Control design for mine ventilation network systems

Control of 1-D parabolic PDEs with Volterra nonlinearities, Part I: Design

Control of 1D parabolic PDEs with Volterra nonlinearities, Part II: Analysis

Control of Channel Flow Turbulence, Vortex Shedding, and Thermal Convection by Backstepping Boundary Control

Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs

Control of PDE–ODE cascades with Neumann interconnections

Control of Ripple Eliminators to Improve the Power Quality of DC Systems and Reduce the Usage of Electrolytic Capacitors

Control of Strings and Flexible Beams by Backstepping Boundary Control

Control of Thermal Power Plant Combustion Distribution Using Extremum Seeking

article

Control of a Tip-Force Destabilized Shear Beam by Observer-Based Boundary Feedback

Control of an unstable reaction-diffusion PDE with long input delay

Control of an unstable reaction–diffusion PDE with long input delay

Control of deep-hysteresis aeroengine compressors. I. A Moore-Greitzer type model

Control of deep-hysteresis compressors under limited actuator bandwidth

Control of formation flight via extremum seeking

Control of nonlinear delay systems: A tutorial

Control of thermodynamical system with input-dependent state delays

Control of transport PDE/nonlinear ODE cascades with state-dependent propagation speed

Control of wing rock motion using adaptive feedback linearization

Control-Oriented Energy-Based Modeling of a Screw Extruder Used for 3D Printing

Coping with actuator dynamics using backstepping for boundary stabilization of Burgers' equation

article

Dead-Time Compensation for Wave/String PDEs

Dead-time compensation for wave/string PDEs

Decay estimates for 1-D parabolic PDES with boundary disturbances

scientific article published in 2018

Delay-Adaptive Control for Nonlinear Systems

Delay-Adaptive Full-State Predictor Feedback

Delay-Adaptive Predictor Feedback for Systems With Unknown Long Actuator Delay $ $

article published in 2010

Delay-Adaptive Predictor with Estimation of Actuator State

Delay-adaptive feedback for linear feedforward systems

Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay

Delay-compensated control of sandwiched ODE–PDE–ODE hyperbolic systems for oil drilling and disaster relief

scientific article published in 2020

Delay-compensated event-triggered boundary control of hyperbolic PDEs for deep-sea construction

scientific article published in 2022

Delay-robustness of linear predictor feedback without restriction on delay rate

Demonstrating Optimum HCCI Combustion with Advanced Control Technology

Design Optimization of Dynamically Coupled Actuated Butterfly Valves Subject to a Sudden Contraction

article by Peiman Naseradinmousavi et al published 19 February 2016 in Journal of Mechanical Design

Discrete time extremum seeking using stochastic perturbations

Discussion on ‘Infinite Dimensional Backstepping-Style Feedback Transformations for a Heat Equation with Arbitrary Level of Instability’ by A. Balogh and M. Krstic

Discussion on: “Adaptive Extremum Seeking Control of Fed-Batch Bioreactors”

Disturbance attenuation limitations for systems with input delays

Energy Storage in Paraffin: A PDE Backstepping Experiment

scientific article published in 2021

Estimation of boundary parameters in general heterodirectional linear hyperbolic systems

Event-Triggered Adaptive Control of Coupled Hyperbolic PDEs with Piecewise-Constant Inputs and Identification

scientific article published in 2022

Event-Triggered Gain Scheduling of Reaction-Diffusion PDEs

scientific article published in 2021

Event-Triggered Output-Feedback Backstepping Control of Sandwich Hyperbolic PDE Systems

scientific article published in 2022

Event-triggered boundary control of constant-parameter reaction–diffusion PDEs: A small-gain approach

scientific article published in 2021

Exact predictor feedbacks for multi-input LTI systems with distinct input delays

Experimental application of extremum seeking on an axial-flow compressor

Experimental application of extremum seeking on an axial-flow compressor

Explicit Output Feedback Stabilization of a Thermal Convection Loop by Continuous Backstepping and Singular Perturbations

Explicit boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls

Explicit forwarding controllers-beyond linearizable class

Explicit integral operator feedback for local stabilization of nonlinear thermal convection loop PDEs

Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls

Exponential Stability Analysis of Sampled-Data ODE–PDE Systems and Application to Observer Design

Exponential regulation of the anti-collocatedly disturbed cage in a wave PDE-modeled ascending cable elevator

scientific article published in 2018

Extremum Seeking Based on Atmospheric Turbulence for Aircraft Endurance

Extremum Seeking Tuning of an Experimental HCCI Engine Combustion Timing Controller

Extremum Seeking With Stochastic Perturbations

Extremum Seeking for Maximizing Higher Derivatives of Unknown Maps in Cascade with Reaction-Advection-Diffusion PDEs

scientific article published in 2019

Extremum Seeking for Static Maps With Delays

Extremum Seeking-Based Optimization of High Voltage Converter Modulator Rise-Time

Extremum seeking control for discrete-time systems

Extremum seeking for limit cycle minimization

Extremum seeking for motion optimization: From bacteria to nonholonomic vehicles

Extremum seeking for wind and solar energy applications

Extremum seeking subject to multiple and distinct input delays

scholarly article published December 2015

Extremum seeking with very slow or drifting sensors

Extremum seeking-based tracking for unknown systems with unknown control directions

Fault-tolerant finite time consensus for multiple uncertain nonlinear mechanical systems under single-way directed communication interactions and actuation failures

Feedback Linearizability and Explicit Integrator Forwarding Controllers for Classes of Feedforward Systems

Feedback attenuation and adaptive cancellation of blade vortex interaction noise on a helicopter blade element

Feedback attenuation and adaptive cancellation of blade vortex interaction on a helicopter blade element

Finite-horizon LQ control for unknown discrete-time linear systems via extremum seeking

Finite-horizon LQ control for unknown discrete-time linear systems via extremum seeking

Finite-time multi-agent deployment: A nonlinear PDE motion planning approach

Folding Backstepping Approach to Parabolic PDE Bilateral Boundary Control

scholarly article

Folding Bilateral Backstepping Output-Feedback Control Design for an Unstable Parabolic PDE

scientific article published in 2022

Formation Flight Optimization Using Extremum Seeking Feedback

Forward-Complete Systems

scholarly article published 2009

Further Results on Stabilization of Shock-Like Equilibria of the Viscous Burgers PDE

GPS denied source seeking for underactuated autonomous vehicles in 3D

Gain Scheduling-Inspired Boundary Control for Nonlinear Partial Differential Equations

Gain Scheduling-Inspired Control for Nonlinear Partial Differential Equations

Generation and Tracking of Sinusoids for Shake Table Control via Extremum Seeking

scholarly article published 2007

Geometric/asymptotic properties of adaptive nonlinear systems with partial excitation

Global Boundary Stabilization of 2D Poiseuille Flow

Global Dynamical Solvers for Nonlinear Programming Problems

Global Stabilization of Feedforward Systems Under Perturbations in Sampling Schedule

Global Stabilization of a Nonlinear Ginzburg-Landau Model of Vortex Shedding

article

Global attitude/position regulation for underwater vehicles

Global attitude/position regulation for underwater vehicles

Global stabilisation of nonlinear delay systems with a compact absorbing set

Gradient Extremum Seeking with Delays∗∗The first author thanks the Brazilian funding agencies CAPES, CNPq and FAPERJ for the financial support

article

Gradient based projection method for constrained optimization

scholarly article published December 2013

Gradient extremum seeking for static maps with actuation dynamics governed by diffusion PDEs

scientific article published in 2018

HCCI Engine Combustion-Timing Control: Optimizing Gains and Fuel Consumption Via Extremum Seeking

Higher Order Stability Properties of a 2D Navier Stokes System with an Explicit Boundary Controller

ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances

ISS estimates in the spatial sup-norm for nonlinear 1-D parabolic PDEs

scientific article published in 2021

ISS with Respect to Boundary Disturbances for 1-D Parabolic PDEs

Identification of averaged dynamics of a controlled combustion instability

article

Improving the Power Quality of Traction Power Systems with a Single-Feeding Wire

Infinite Dimensional Backstepping-Style Feedback Transformations for a Heat Equation with an Arbitrary Level of Instability

Infinite-dimensional backstepping and applications to flows in electromagnetic fields

Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems

article by Miroslav Krstić published February 2010 in IEEE Transactions on Automatic Control

Input-to state stability with respect to boundary disturbances for the 1-D heat equation

article published in 2016

Input-to-State Stability and Inverse Optimality of Linear Time-Varying-Delay Predictor Feedbacks

Introduction

Invariant manifolds and asymptotic properties of adaptive nonlinear stabilizers

Inverse Optimal Redesign

Inverse optimal adaptive control—The interplay between update laws, control laws, and Lyapunov functions

Inverse optimal design of input-to-state stabilizing nonlinear controllers

Inverse optimal stabilization of a rigid spacecraft

Inverse optimality and performance in forwarding

Iterative learning control based on extremum seeking

Laser Pulse Shaping via Iterative Learning Control and High-Dimensional Extremum Seeking

Laser pulse shaping via extremum seeking

Leader-Enabled Deployment Onto Planar Curves: A PDE-Based Approach

Lean backstepping design for a jet engine compressor model

Linear backstepping output feedback control for uncertain linear systems

scholarly article by Yang Zhu et al published 10 February 2015 in International Journal of Adaptive Control and Signal Processing

Linearizable Strict-Feedforward Systems

Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping

Local exponential H 2 stabilization of a 2 × 2 quasilinear hyperbolic system using backstepping

Lyapunov Adaptive Boundary Control for Parabolic PDEs with Spatially Varying Coefficients

Lyapunov Adaptive Stabilization of Parabolic PDEs— Part I: A Benchmark for Boundary Control

Lyapunov Stability of Linear Predictor Feedback for Distributed Input Delays

Lyapunov Stability of Linear Predictor Feedback for Time-Varying Input Delay

Lyapunov stability of linear predictor feedback for distributed input delays

Lyapunov stability of linear predictor feedback for time-varying input delay

Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch

Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch

Lyapunov-based backstepping control of a class of linear systems without overparametrization, tuning functions or nonlinear damping

Lyapunov–Krasovskii functionals and application to input delay compensation for linear time-invariant systems

Magnetohydrodynamic state estimation with boundary sensors

Marcum -functions and explicit kernels for stabilization of linear hyperbolic systems with constant coefficients

Marcum Q-functions and explicit feedback laws for stabilization of constant coefficient 2 × 2 linear hyperbolic systems

Maximizing higher derivatives of unknown maps with extremum seeking

Maximizing higher derivatives of unknown maps with stochastic extremum seeking

Minimum-Seeking for CLFs: Universal Semiglobally Stabilizing Feedback Under Unknown Control Directions

Modeling and Boundary Control of a Hanging Cable Immersed in Water

Modeling, Control, and Stability Analysis of Heterogeneous Thermostatically Controlled Load Populations Using Partial Differential Equations

Modular approach to adaptive nonlinear stabilization

Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances

scientific article published in 2019

Motion Planning and Tracking for Tip Displacement and Deflection Angle for Flexible Beams

Motion planning and tracking for tip displacement and deflection angle for flexible beams

Motion planning and trajectory tracking for three-dimensional Poiseuille flow

Multi-Agent Deployment in 3-D via PDE Control

Multi-agent deployment in the plane using stochastic extremum seeking

Multiagent Deployment Over a Source

Multiparameter extremum seeking with output delays

Multivariable Newton-based extremum seeking

Multivariable Newton-based extremum seeking

Multivariable adaptive control of instabilities arising in jet engines

Nash Equilibrium Seeking for Dynamic Systems with Non-Quadratic Payoffs

Nash Equilibrium Seeking in Noncooperative Games

Nash Equilibrium Seeking with Finitely-and Infinitely-Many Players *

Nash equilibrium seeking for games with non-quadratic payoffs

Newton-based Extremum Seeking under Actuator and Sensor Delays∗∗The first author thanks the Brazilian funding agencies CAPES, CNPq and FAPERJ for the financial support

article

Newton-based extremum seeking for higher derivatives of unknown Maps with Delays

Newton-based stochastic extremum seeking

Newton-based stochastic extremum seeking

Non- C 2 Lie Bracket Averaging for Nonsmooth Extremum Seekers

Non-overshooting Control of Strict-Feedback Nonlinear Systems

Nonholonomic Source Seeking With Tuning of Angular Velocity

article published in 2009

Nonlinear Control of the Viscous Burgers Equation: Trajectory Generation, Tracking, and Observer Design

Nonlinear PDE–based motion planning for the formation control of mobile agents

Nonlinear Predictor Feedback

Nonlinear Stabilization Under Sampled and Delayed Measurements, and With Inputs Subject to Delay and Zero-Order Hold

article by I. Karafyllis & Miroslav Krstić published May 2012 in IEEE Transactions on Automatic Control

Nonlinear Stabilization in Infinite Dimension

Nonlinear Stabilization of Shock-Like Unstable Equilibria in the Viscous Burgers PDE

Nonlinear burn control in fusion reactors

Nonlinear control of the Burgers PDE—Part I: Full-state stabilization

Nonlinear control of the Burgers PDE—Part II: Observer design, trajectory generation, and tracking

Nonlinear control under delays that depend on delayed states

Nonlinear control under input delays that depend on delayed states

Nonlinear control under wave actuator dynamics with time- and state-dependent moving boundary

article

Nonlinear design of adaptive controllers for linear systems

article by Miroslav Krstić et al published April 1994 in IEEE Transactions on Automatic Control

Nonlinear stabilization in infinite dimension

Nonlinear stabilization through long input delay—Part I: Forward complete systems

Nonlinear stabilization through long input delay—Part II: The strict-feedforward class

Nonlinear stabilization through long input delay—Part III: Linearizable strict-feedforward systems

Nonlinear stabilization through wave PDE dynamics with a moving uncontrolled boundary

article

Nonlinear stabilization under sampled and delayed measurements, and with inputs subject to delay and zero-order hold

scholarly article published December 2011

Nonovershooting Control of Strict-Feedback Nonlinear Systems

Numerical schemes for nonlinear predictor feedback

ODEs with General Transport-Like Actuator Dynamics

article

ODEs with Heat PDE Actuator Dynamics

article

ODEs with Wave PDE Actuator Dynamics

article

Observer Based Boundary Control of an Unstable Wave Equation

Observer design for a class of nonlinear ODE–PDE cascade systems

Observer design for an IPDE with time-dependent coefficients

Observer design for triangular nonlinear systems in the presence of arbitrarily large output delay - a PDE based approach

Observers for ODEs Involving PDE Sensor and Actuator Dynamics

article

Oil drilling inspired compensation of wave actuator dynamics for nonlinear systems

On Compensating Long Actuator Delays in Nonlinear Control

On compensating long actuator delays in nonlinear control

On control design for PDEs with space-dependent diffusivity or time-dependent reactivity

On global output feedback tracking control of robot manipulators

On global stabilization of Burgers’ equation by boundary control

On optimizing sensor placement for spatio-temporal temperature estimation in large battery packs

On stabilizing strict-feedback linear systems with delayed integrators

On the relation of delay equations to first-order hyperbolic partial differential equations

article by Iasson Karafyllis et al published 13 June 2014 in ESAIM: Control, Optimisation and Calculus of Variations

On the relationship between the Absolute Vibration Suppression and Back-Stepping methods in control of the wave equation with possibly unstable boundary conditions

article

On using least-squares updates without regressor filtering in identification and adaptive control of nonlinear systems

article by Miroslav Krstić published March 2009 in Automatica

Optimal Adaptive Control—Contradiction in Terms or a Matter of Choosing the Right Cost Functional?

Optimal beam matching in particle accelerators via extremum seeking

Optimized Beam Matching Using Extremum Seeking

Other PDE-PDE Cascades

Output Feedback Adaptive Controllers with Swapping Identifiers for Two Unstable PDEs with Infinite Relative Degree

Output Feedback Boundary Control of a Ginzburg–Landau Model of Vortex Shedding

Output Feedback Control of Radially-Dependent Reaction-Diffusion PDEs on Balls of Arbitrary Dimensions

scientific article published in 2020

Output Feedback Stabilization of the Linearized Bilayer Saint-Venant Model

Output feedback control of the one-phase Stefan problem

Output-Feedback Adaptive Control for Parabolic PDEs with Spatially Varying Coefficients

Output-Feedback Control of an Extended Class of Sandwiched Hyperbolic PDE-ODE Systems

scientific article published in 2021

Output-feedback adaptive control of a wave PDE with boundary anti-damping

Output-feedback stabilization of an unstable wave equation

Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance

Output-feedback stochastic nonlinear stabilization

Overshoot-Free Steering-Based Source Seeking

Overshoot-free nonholonomic source seeking in 3-D

scholarly article by Jinbiao Lin et al published 14 March 2017 in International Journal of Adaptive Control and Signal Processing

PDE Boundary Control for Flexible Articulated Wings on a Robotic Aircraft

PDE-based analysis and control of the oxygen storage level in three-way catalytic converters

Parameter Identification for Electrohydraulic Valvetrain Systems

Passive Identifiers for Boundary Adaptive Control of 3D Reaction-Advection-Diffusion PDEs

Passivity and parametric robustness of a new class of adaptive systems

Pitch Control Design for Tandem Lifting Body Catamaran by Aft Lifting Body Actuation

Power Optimization and Control in Wind Energy Conversion Systems Using Extremum Seeking

Power Optimization for Photovoltaic Microconverters Using Multivariable Newton-Based Extremum Seeking

Power optimization for photovoltaic micro-converters using multivariable Newton-based extremum-seeking

Prediction-based boundary control of linear delayed systems without restriction on relative degree

Prediction-based control for nonlinear state- and input-delay systems with the aim of delay-robustness analysis

Predictor Feedback: Time-Varying, Adaptive, and Nonlinear

Predictor Observers

Predictor Observers for Proportional Navigation Systems Subjected to Seeker Delay

Predictor-Feedback Stabilization of Multi-Input Nonlinear Systems

Predictor-based tracking for neuromuscular electrical stimulation

Predictor-feedback for multi-input LTI systems with distinct delays

Predictor-feedback stabilization of multi-input nonlinear systems

Predictor-like feedback for actuator and sensor dynamics governed by diffusion PDEs

article

Quantized-Input Control Lyapunov Approach for Permanent Magnet Synchronous Motor Drives

Rapidly convergent leader-enabled multi-agent deployment into planar curves

Reduction of DC-bus voltage ripples and capacitors for single-phase PWM-controlled rectifiers

Reinforcement Learning Versus PDE Backstepping and PI Control for Congested Freeway Traffic

scientific article published in 2022

Robust Stabilization of Nonlinear Globally Lipschitz Delay Systems

Robust adaptive control: legacies and horizons

scholarly article by Jing Sun et al published 10 October 2012 in International Journal of Adaptive Control and Signal Processing

Robust predictor feedback for discrete-time systems with input delays

Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations

Robustness of the tuning functions adaptive backstepping design for linear systems

Robustness to Delay Mismatch

Robustness to diffusion of prediction-based control for convection processes

Sampled-Data Stabilization of Nonlinear Delay Systems With a Compact Absorbing Set

Sampled-Data Stabilization of Nonlinear Delay Systems with a Compact Absorbing Set

Sampled-data feedback stabilization of age-structured chemostat models

Self-tuning control of a nonlinear model of combustion instabilities

Self-tuning control of a nonlinear model of combustion instabilities

Sensing schemes for state estimation in turbulent flows and flexible structures

Singularly Perturbed Lie Bracket Approximation

Sliding mode control to the stabilization of a linear 2×2 hyperbolic system with boundary input disturbance

Small-Gain-Based Boundary Feedback Design for Global Exponential Stabilization of One-Dimensional Semilinear Parabolic PDEs

scientific article published in 2019

Source Seeking With Very Slow or Drifting Sensors

Source Seeking for Nonholonomic Unicycle With Speed Regulation

Source Seeking for Two Nonholonomic Models of Fish Locomotion

Source seeking for a Joukowski foil model of fish locomotion

Source seeking for a three-link model of fish locomotion

article

Source seeking with a nonholonomic unicycle without position measurements and with tuning of angular velocity part I: Stability analysis

Source seeking with non-holonomic unicycle without position measurement and with tuning of forward velocity

Speed regulation in steering-based source seeking

Stability analysis and fail-safe operation of inverters operated in parallel

Stability enhancement by boundary control in 2-D channel flow

Stability enhancement by boundary control in 2D channel flow. I. Regularity of solutions

Stability margins in inverse optimal input-to-state stabilization

Stability of an interconnected system of euler−bernoulli beam and heat equation with boundary coupling

article published in 2015

Stability of extremum seeking control for a class of discrete-time systems

Stability of partial difference equations governing control gains in infinite-dimensional backstepping

Stability of predictor-based feedback for nonlinear systems with distributed input delay

Stability of predictor-based feedback for nonlinear systems with distributed input delay

Stabilization and Gevrey Regularity of a Schrödinger Equation in Boundary Feedback With a Heat Equation

Stabilization and robustness analysis for a chain of exponential integrators using strict Lyapunov functions

Stabilization in the supremum norm of wave PDE/nonlinear ODE cascades

Stabilization of Filament Production Rate for Screw Extrusion-Based Polymer Three-Dimensional-Printing ⬇️

scholarly article

Stabilization of Nonlinear Strict-Feedback Systems With Time-Varying Delayed Integrators

Stabilization of Reaction Diffusion Equations With State Delay Using Boundary Control Input

Stabilization of a System of $n+1$ Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input

Stabilization of a chain of exponential integrators using a strict Lyapunov function

Stabilization of a linear hyperbolic system with one boundary controlled transport PDE coupled with n counterconvecting PDEs

Stabilization of an ODE–Schrödinger Cascade

article published in 2013

Stabilization of an underactuated coupled transport-wave PDE system

Stabilization of linear strict-feedback systems with delayed integrators

Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control

Stabilization of linearized Korteweg-de Vries systems with anti-diffusion by boundary feedback with non-collocated observation

Stabilization of nonlinear delay systems using approximate predictors and high-gain observers

article published in 2013

Stabilization of reaction-diffusion equations with state delay using boundary control input

Stabilization of stochastic nonlinear systems driven by noise of unknown covariance

Stabilization of stochastic nonlinear systems driven by noise of unknown covariance

State Estimation for an Electrochemical Model of Multiple-Material Lithium-Ion Batteries

State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model

State derivative feedback for adaptive cancellation of unmatched disturbances in unknown strict-feedback LTI systems

State estimation for nonlinear hyperbolic PDE-ODE cascade systems

State-dependent input delay-compensated Bang-Bang control: Application to 3D printing based on screw-extruder

State-of-Charge estimation from a thermal–electrochemical model of lithium-ion batteries

State-of-charge estimation for lithium-ion batteries via a coupled thermal-electrochemical model

Stochastic Averaging in Continuous Time and Its Applications to Extremum Seeking

Stochastic Averaging in Discrete Time and its Applications to Extremum Seeking

Stochastic Source Seeking With Multiple Nonholonomic Vehicles via a Single Forward-Velocity Control Signal

Stochastic averaging on infinite time interval for a class of nonlinear systems with stochastic perturbation

Stochastic nonholonomic source seeking

Stochastic nonlinear stabilization — I: A backstepping design

article by Hua Deng & Miroslav Krstić published November 1997 in Systems & Control Letters

Stochastic nonlinear stabilization — II: Inverse optimality

Stochastic source seeking for nonholonomic unicycle

Stochastic source seeking with forward and angular velocity regulation

Strict-Feedforward Systems

Systematization of Approaches to Adaptive Boundary Stabilization of PDEs

Systematization of approaches to adaptive boundary stabilization of PDEs

scholarly article by Miroslav Krstić published 2006 in International Journal of Robust and Nonlinear Control

Tailored Fuel Injection for Pulsed Detonation Engines via Feedback Control

The Stabilization of One-Dimensional Wave Equation by Delayed Output Feedback

Thermal convection loop control by continuous backstepping and singular perturbations

Time- and State-Dependent Input Delay-Compensated Bang-Bang Control of a Screw Extruder for 3D Printing

Time- and State-Dependent Input Delay-Compensated Bang-Bang Control of a Screw Extruder for 3D Printing

Time-Varying Delay

Time-varying feedback for finite-time robust regulation of normal-form nonlinear systems

Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time

Towards faster adaptation in extremum seeking control

Trajectory Tracking Under Unknown Delay and ODE Parameters

Transient-performance improvement with a new class of adaptive controllers

Tuning of a combustion controller by extremum seeking: a simulation study

Unstable Reaction-Diffusion PDE with Input Delay

Useful nonlinearities and global stabilization of bifurcations in a model of jet engine surge and stall

Vibration Suppression for Coupled Wave PDEs in Deep-Sea Construction

scientific article published in 2021

Wave Equation Stabilization by Delays Equal to Even Multiples of the Wave Propagation Time