Title :

Prescribed-time control for a class of semilinear hyperbolic PDE-ODE systems

Author(s) :

Irscheid, Abdurrahman [Auteur]
Saarland University [Saarbrücken]
Espitia, Nicolas [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Rudolph, Joachim [Auteur]
Saarland University [Saarbrücken]

Conference title :

IFAC 4th Control of Systems Governed by Partial Differential Equations

City :

Kiel

Country :

Allemagne

Start date of the conference :

2022-09-07

Publication date :

2022-09-07

English keyword(s) :

distributed parameter systems
nonlinear PDE-ODE systems
semilinear hyperbolic systems
boundary control
prescribed-time control
prediction

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

A prediction-based controller is shown to achieve prescribed-time stabilization of a nonlinear infinite-dimensional system, which consists of a general boundary controlled firstorder semilinear hyperbolic PDE that is ...
Show more >A prediction-based controller is shown to achieve prescribed-time stabilization of a nonlinear infinite-dimensional system, which consists of a general boundary controlled firstorder semilinear hyperbolic PDE that is bidirectionally interconnected with nonlinear ODEs at its unactuated boundary. The approach uses a coordinate transformation to map the nonlinear system into a form suitable for control. In particular, this transformation is based on predictions of system trajectories, which can be obtained by solving a general nonlinear Volterra integrodifferential equation. Then, a prediction-based controller is designed to stabilize the system in prescribed-time. Numerical simulations illustrate the performance of both the prescribed-time controller and an asymptotically stabilizing one, which follows as a special case.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL