Upcoming events

Next seminar will take place on May 25th at 2pm at the Salle Europe

And remotly: 

https://univ-tlse3-fr.zoom.us/j/98440264207?pwd=MUpTS0c2UUNGVE5sRkptYlQ4ZjZHQT09
ID de réunion : 984 4026 4207
Code secret : 943752

Speaker: Suha Shreim

Title: Control of a reaction-diffusion equation in the presence of saturated actuators and perturbation

Abstract: The talk will focus on the control and anti-windup design for a saturated one-dimensional reaction-diffusion equation. The considered open-loop system admits a finite number of unstable poles. Within this setting, a method is proposed to design a dynamic, finite-dimensional output feedback control system which guarantees the closed-loop exponential stability with minimal effect of external perturbations and maximal region of attraction. More precisely, with the help of Lyapunov methods, sufficient conditions for the local exponential stability of the closed-loop system are derived and expressed in terms of a set of matrix inequalities. Using generalized sector conditions and proper change of variables, the conditions are then recast as an optimization problem solving linear matrix inequalities. The design process is then repeated for the anti-windup compensator and considering that the control parameters are previously derived. The goal behind the addition of the anti-windup setup is to maintain the stability results while enhancing the system performance in terms of disturbance rejection and region of attraction. A numerical example is provided to showcase the proposed method, highlight its effectiveness and provide a comparison between the saturated systems performance with and without the anti-windup compensator.