4.7 Article

Adaptive boundary control of reaction-diffusion PDEs with unknown input delay

Related references

Note: Only part of the references are listed.
Article Automation & Control Systems

Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control

Hugo Lhachemi et al.

Summary: This article investigates the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. The proposed control design strategy involves obtaining a finite-dimensional subsystem through modal decomposition and designing a finite-dimensional delay controller. The study shows that the finite-dimensional delay controller successfully stabilizes the original IDS and the closed-loop system is exponentially input-to-state stable (ISS) with respect to distributed disturbances.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2021)

Article Automation & Control Systems

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

Jie Qi et al.

Summary: A predictor-based distributed feedback controller is developed to ensure exponential stability for a class of reaction-diffusion partial differential equations subject to spatially varying input delay. The controller compensates for the spatially varying delay by introducing implicit backstepping transformation and successive integration approach. The applicability and performance of the controller are evaluated in simulation studies.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2021)

Article Automation & Control Systems

Output Feedback Energy Control of the Sine-Gordon PDE Model Using Collocated Spatially Sampled Sensing and Actuation

Yury Orlov et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2020)

Article Automation & Control Systems

Parabolic PDE-based multi-agent formation control on a cylindrical surface

Jie Qi et al.

INTERNATIONAL JOURNAL OF CONTROL (2019)

Article Automation & Control Systems

Feedback Stabilization of a 1-D Linear Reaction -Diffusion Equation With Delay Boundary Control

Christophe Prieur et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2019)

Article Automation & Control Systems

Control of multi-agent systems with input delay via PDE-based method

Jie Qi et al.

AUTOMATICA (2019)

Proceedings Paper Automation & Control Systems

Stabilization of the linear Kuramoto-Sivashinsky equation with a delayed boundary control

Patricio Guzman et al.

IFAC PAPERSONLINE (2019)

Article Automation & Control Systems

Observer-based perturbation extremum seeking control with input constraints for direct-contact membrane distillation process

Fadi Eleiwi et al.

INTERNATIONAL JOURNAL OF CONTROL (2018)

Article Automation & Control Systems

Adaptive control of linear 2 x 2 hyperbolic systems

Henrik Anfinsen et al.

AUTOMATICA (2018)

Article Automation & Control Systems

A note on establishing convergence in adaptive systems

Henrik Anfinsen et al.

AUTOMATICA (2018)

Article Automation & Control Systems

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

Rafael Vazquez et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2017)

Article Automation & Control Systems

Control of Transport PDE/Nonlinear ODE Cascades With State-Dependent Propagation Speed

Mamadou Diagne et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2017)

Article Automation & Control Systems

Adaptive Output Feedback Control for Uncertain Linear Time-Delay Systems

Yang Zhu et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2017)

Article Automation & Control Systems

Adaptive output-feedback stabilization of linear 2 x 2 hyperbolic systems using anti-collocated sensing and control

Henrik Anfinsen et al.

SYSTEMS & CONTROL LETTERS (2017)

Article Automation & Control Systems

Adaptive stabilization of n+1 coupled linear hyperbolic systems with uncertain boundary parameters using boundary sensing

Henrik Anfinsen et al.

SYSTEMS & CONTROL LETTERS (2017)

Article Automation & Control Systems

Compensation of input delay that depends on delayed input

Mamadou Diagne et al.

AUTOMATICA (2017)

Article Automation & Control Systems

Estimation of boundary parameters in general heterodirectional linear hyperbolic systems

Henrik Anfinsen et al.

AUTOMATICA (2017)

Article Automation & Control Systems

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

Henrik Anfinsen et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2016)

Article Automation & Control Systems

Adaptive backstepping control of uncertain linear systems under unknown actuator delay

Yang Zhu et al.

AUTOMATICA (2015)

Article Automation & Control Systems

Multi-Agent Deployment in 3-D via PDE Control

Jie Qi et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2015)

Article Automation & Control Systems

Adaptive output-feedback stabilization of non-local hyperbolic PDEs

Pauline Bernard et al.

AUTOMATICA (2014)

Article Mathematics

The free boundary problem describing information diffusion in online social networks

Chengxia Lei et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2013)

Article Automation & Control Systems

State and output feedback boundary control for a coupled PDE-ODE system

Shuxia Tang et al.

SYSTEMS & CONTROL LETTERS (2011)

Article Automation & Control Systems

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

Delphine Bresch-Pietri et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2010)

Article Automation & Control Systems

Trajectory Planning for Boundary Controlled Parabolic PDEs With Varying Parameters on Higher-Dimensional Spatial Domains

Thomas Meurer et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2009)

Article Automation & Control Systems

Adaptive identification of two unstable PDEs with boundary sensing and actuation

Andrey Smyshlyaev et al.

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING (2009)

Article Automation & Control Systems

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

Miroslav Krstic

SYSTEMS & CONTROL LETTERS (2009)

Article Automation & Control Systems

Compensating actuator and sensor dynamics governed by diffusion PDEs

Miroslav Kirstic

SYSTEMS & CONTROL LETTERS (2009)

Article Automation & Control Systems

Adaptive boundary control for unstable parabolic PDEs - Part 1: Lyapunov design

Miroslav Krstic et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2008)

Article Automation & Control Systems

Analysis of coordination in multi-agent systems through partial difference equations

G. Ferrari-Trecate et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2006)

Article Computer Science, Interdisciplinary Applications

Backstepping control of chemical tubular reactors

DM Boskovic et al.

COMPUTERS & CHEMICAL ENGINEERING (2002)

Article Automation & Control Systems

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

DM Boskovic et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2001)

Article Automation & Control Systems

Reduced spatial order model reference adaptive control of spatially varying distributed parameter systems of parabolic and hyperbolic types

J Bentsman et al.

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING (2001)