MINES ParisTech CAS - Centre automatique et systèmes

PI regulation control of 1-D reaction-diffusion equation

Thursday 22nd April 2021, 4pm – 5pm (Paris time)

Hugo Lhachemi, L2S, CNRS, CentraleSupelec, France (https://l2s.centralesupelec.fr/u/lhachemi-hugo/)

Motivated by the efficiency of proportional integral (PI) controllers for the stabilization and regulation control of finite-dimensional systems, as well as its widespread adoption by industry, the opportunity of using PI controllers in the context of infinite-dimensional systems has attracted much attention in the recent years. This talk presents recent results on the design of PI controllers for the regulation of system outputs such as Dirichlet or Neumann traces for a one-dimensional reaction-diffusion equation. The case of a state-feedback with input delay is discussed first. Then the coupling of the PI controller with a finite-dimensional observer is introduced (in a delay-free context) in order to achieve the output feedback regulation control of the plant.

Hugo Lhachemi is an Associate Professor of System Control at CentraleSupelec since September 2020 and a member of the CNRS Laboratory of Signals and Systems, both part of the Paris-Saclay University in France. In the past he has been affiliated with the Decision Science and Control Theory research group headed by Professor Robert Shorten at University College Dublin, where he was Postdoctoral fellow from March 2018 to August 2020. His research interests encompass control theory for finite and infinite dimensional systems with applications to aerospace and cyber-physical systems.