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

Autor:	Irscheid, Abdurrahman, Espitia, Nicolás, Perruquetti, Wilfrid, Rudolph, Joachim
Přispěvatelé:	Saarland University [Saarbrücken], Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centrale Lille
Rok vydání:	2022
Předmět:	boundary control nonlinear PDE-ODE systems Control and Systems Engineering distributed parameter systems semilinear hyperbolic systems prediction prescribed-time control [SPI.AUTO]Engineering Sciences [physics]/Automatic
Zdroj:	IFAC 4th Control of Systems Governed by Partial Differential Equations IFAC 4th Control of Systems Governed by Partial Differential Equations, Sep 2022, Kiel, Germany
ISSN:	2405-8963
DOI:	10.1016/j.ifacol.2022.10.375
Popis:	International audience; 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0dbe2c8d09e2c4213ba938a47ea1552e https://doi.org/10.1016/j.ifacol.2022.10.375 Zobrazit plný text záznamu