Predictor-based output feedback stabilization of an input delayed parabolic PDE with boundary measurement

H Lhachemi, C Prieur - Automatica, 2022 - Elsevier
This paper is concerned with the output feedback boundary stabilization of general 1-D
reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the …

Boundary stabilization of 1D hyperbolic systems

A Hayat - Annual Reviews in Control, 2021 - Elsevier
Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …

[HTML][HTML] Error-feedback temperature regulation for a reverse flow reactor driven by a distributed parameter exosystem

I Aksikas - Journal of Process Control, 2022 - Elsevier
This work is devoted to solve the state and error-feedback control problems for a catalytic
reverse flow reactor (CFRR), which is modeled by nonlinear partial differential equations …

Local output feedback stabilization of a reaction–diffusion equation with saturated actuation

H Lhachemi, C Prieur - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
This article is concerned with the output feedback stabilization of a reaction–diffusion
equation by means of bounded control inputs in the presence of saturations. Using a finite …

Finite-dimensional output stabilization for a class of linear distributed parameter systems—a small-gain approach

L Grüne, T Meurer - Systems & Control Letters, 2022 - Elsevier
A small-gain approach is proposed to analyze closed-loop stability of linear diffusion-
reaction systems under finite-dimensional observer-based state feedback control. For this …

Exponential stabilization of infinite-dimensional systems by finite-dimensional controllers

T **a, G Casadei, F Ferrante, L Scardovi - arxiv preprint arxiv:2309.01934, 2023 - arxiv.org
This paper studies the feedback stabilization of abstract Cauchy problems with unbounded
output operators by finite-dimensional controllers. Both necessary conditions and sufficient …

Proportional integral regulation control of a one-dimensional semilinear wave equation

H Lhachemi, C Prieur, E Trélat - SIAM journal on control and optimization, 2022 - SIAM
This paper is concerned with the proportional integral (PI) regulation control of the left
Neumann trace of a one-dimensional semilinear wave equation. The control input is …

Input-output stability of a reaction diffusion equation with in-domain disturbances

S Shreim, F Ferrante, C Prieur - 2022 IEEE 61st Conference on …, 2022 - ieeexplore.ieee.org
The input-output stability (IOS) of a reaction-diffusion equation by means of a finite-
dimensional linear time-invariant control system is studied. The reaction-diffusion plant …

Nonlinear boundary output feedback stabilization of reaction–diffusion equations

H Lhachemi, C Prieur - Systems & Control Letters, 2022 - Elsevier
This paper studies the design of a finite-dimensional output feedback controller for the
stabilization of a reaction–diffusion equation in the presence of a sector nonlinearity in the …

Output feedback stabilization of reaction–diffusion PDEs with a non-collocated boundary condition

H Lhachemi, C Prieur - Systems & Control Letters, 2022 - Elsevier
This paper addresses the control design problem of output feedback stabilization of a
reaction–diffusion PDE with a non-collocated boundary condition. More precisely, we …