Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains

Author

Armaou, Antonios ; Christofides, Panagiotis D.

Author_Institution

Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA

Volume

4

fYear

1998

fDate

21-26 Jun 1998

Firstpage

2539

Abstract

Proposes a methodology for the synthesis of nonlinear finite-dimensional time-varying output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains. The method is successfully applied to a typical diffusion reaction process whose spatial domain changes with time and is shown to outperform a controller design method which does not account for the variation of the spatial domain

Keywords

control system synthesis; distributed parameter systems; feedback; multidimensional systems; nonlinear control systems; partial differential equations; time-varying systems; controller design method; diffusion reaction process; nonlinear finite-dimensional time-varying output feedback controllers; parabolic PDE systems; quasi-linear parabolic partial differential equations; time-dependent spatial domains; Control system synthesis; Control systems; Design methodology; Eigenvalues and eigenfunctions; Feedback control; Moment methods; Nonlinear control systems; Output feedback; Stability; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.703092

Filename

703092