Robust control of quasi-linear parabolic PDE systems

Author

Christofides, Panagiotis D.

Author_Institution

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

Volume

2

fYear

1997

fDate

10-12 Dec 1997

Firstpage

1074

Abstract

This paper proposes a methodology for the synthesis of nonlinear robust feedback controllers for systems of quasi-linear parabolic partial differential equations with time-varying uncertain variables, for which the eigenspectrum of the spatial differential operator can be partitioned into a finite-dimensional slow one and an infinite-dimensional stable fast complement. The method is successfully applied to a catalytic packed-bed reactor with unknown and time-varying heat of reaction

Keywords

control system synthesis; distributed parameter systems; eigenvalues and eigenfunctions; feedback; nonlinear control systems; partial differential equations; robust control; time-varying systems; uncertain systems; catalytic packed-bed reactor; eigenspectrum; nonlinear robust feedback controller synthesis; partial differential equations; quasi-linear parabolic PDE systems; spatial differential operator; time-varying uncertain variables; unknown time-varying reaction heat; Adaptive control; Chemical engineering; Control system synthesis; Control systems; Differential equations; Inductors; Partial differential equations; Proportional control; Robust control; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657589

Filename

657589