Robust stabilization of infinite-dimensional systems using discontinuous output feedback control

Author

Orlov, Yury ; Lou, Yiining ; Christofides, Panagiotis D.

Author_Institution

Dept. of Electron. & Telecommun., CICESE Res. Center, San Diego, CA, USA

Volume

1

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

821

Abstract

In this work, a discontinuous output feedback control method based on sliding modes is developed for a class of linear infinite-dimensional systems with finite-dimensional unstable part using finite-dimensional sensing and actuation. The control method is applied to a distributed parameter system governed by the linearization around the spatially-uniform steady-state solution of the Kuramoto-Sivashinsky equation subject to periodic boundary conditions.

Keywords

control system synthesis; distributed parameter systems; feedback; linear systems; linearisation techniques; multidimensional systems; stability; variable structure systems; Kuramoto-Sivashinsky equation; discontinuous output feedback control; distributed parameter system; finite dimensional actuation; finite dimensional sensing; finite dimensional unstable part; linear infinite dimensional systems; linearization techniques; periodic boundary conditions; robust stabilization; sliding modes; Boundary conditions; Control systems; Distributed parameter systems; Equations; Hilbert space; Output feedback; Robust control; Sensor arrays; Sliding mode control; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272667

Filename

1272667