Robust control of parabolic PDE systems with time-dependent spatial domains

被引:62
作者
Armaou, A [1 ]
Christofides, PD [1 ]
机构
[1] Univ Calif Los Angeles, Sch Engn & Appl Sci, Dept Chem Engn, Los Angeles, CA 90095 USA
基金
美国国家科学基金会;
关键词
Galerkin's method; robust stabilization; static output feedback control; diffusion-reaction processes with moving boundaries;
D O I
10.1016/S0005-1098(00)00123-0
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We synthesize robust nonlinear static output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains and uncertain variables. The controllers are successfully applied to a typical diffusion-reaction process with moving boundary and uncertainty. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:61 / 69
页数:9
相关论文
共 25 条
[1]  
[Anonymous], 1993, H CONTROL DISTRIBUTE
[2]   Nonlinear feedback control of parabolic partial differential equation systems with time-dependent spatial domains [J].
Armaou, A ;
Christofides, PD .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 239 (01) :124-157
[3]  
ARMAOU A, 1999, AICHE ANN M DALL TX
[4]  
BURNS JA, 1994, IEEE DECIS CONTR P, P289, DOI 10.1109/CDC.1994.410915
[5]  
Byrnes C. I., 1987, Proceedings of the 26th IEEE Conference on Decision and Control (Cat. No.87CH2505-6), P1435
[6]   Robust control of hyperbolic PDE systems [J].
Christofides, PD ;
Daoutidis, P .
CHEMICAL ENGINEERING SCIENCE, 1998, 53 (01) :85-105
[7]   Robust output feedback control of quasi-linear parabolic PDE systems [J].
Christofides, PD ;
Baker, J .
SYSTEMS & CONTROL LETTERS, 1999, 36 (05) :307-316
[8]   Robust control of parabolic PDE systems [J].
Christofides, PD .
CHEMICAL ENGINEERING SCIENCE, 1998, 53 (16) :2949-2965
[9]   INVARIANCE CONCEPTS IN INFINITE DIMENSIONS [J].
CURTAIN, RF .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (05) :1009-1030
[10]   ROBUST STABILIZATION OF INFINITE DIMENSIONAL SYSTEMS BY FINITE DIMENSIONAL CONTROLLERS [J].
CURTAIN, RF ;
GLOVER, K .
SYSTEMS & CONTROL LETTERS, 1986, 7 (01) :41-47