Robust control of a class of uncertain first-order systems with least prior knowledge

被引:8
作者
Alvarez-Ramirez, J [1 ]
Femat, R [1 ]
Gonzalez-Trejo, J [1 ]
机构
[1] Univ Autonoma Metropolitana Iztapalapa, Dept Ingn Proc, Div Ciencias Basicas & Ingn, Mexico City 09000, DF, Mexico
关键词
robust control; uncertainties; dynamic compensation; temperature regulation; one-point distillation control;
D O I
10.1016/S0009-2509(98)00096-7
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
In this work we deal with robust control of a class of first-order nonlinear systems which contain uncertainties. To cope with the uncertainties, an observer-based controller is proposed, and the uniform boundedness of all closed-loop signals and semiglobal practical convergence of the system state are guaranteed. In contrast with some previous attempts to relax the a priori knowledge on uncertainties bounds by using discontinuous control law, we propose a dynamic compensator which leads to continuous control laws. The applicability of the control scheme to regulation of temperature in stirred tanks and one-point control in distillation is shown by numerical simulations. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:2701 / 2710
页数:10
相关论文
共 26 条
[1]  
[Anonymous], 1974, Differential Equations, Dynamical Systems, and Linear Algebra
[2]  
[Anonymous], 1968, NONLINEAR DIFFERENTI
[3]  
Arnold V. I., 1978, Mathematical methods of classical mechanics
[4]   A NEW CLASS OF STABILIZING CONTROLLERS FOR UNCERTAIN DYNAMICAL-SYSTEMS [J].
BARMISH, BR ;
CORLESS, M ;
LEITMANN, G .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1983, 21 (02) :246-255
[5]  
BROCKET RW, 1978, IFAC WORLD C HELS, P1115
[6]   NONLINEAR DISTURBANCE DECOUPLING CONTROL OF A BINARY DISTILLATION COLUMN [J].
CASTRO, R ;
ALVAREZ, J ;
ALVAREZ, J .
AUTOMATICA, 1990, 26 (03) :567-572
[7]   ADAPTIVE ROBUST-CONTROL OF UNCERTAIN SYSTEMS WITH MEASUREMENT NOISE [J].
CHEN, YH .
AUTOMATICA, 1992, 28 (04) :715-728
[8]  
CHIEN IL, 1990, CHEM ENG PROG, V86, P33
[9]  
Desoer CA., 1975, FEEDBACK SYSTEMS INP
[10]   ROBUST CONTROLLER-DESIGN FOR A NONLINEAR CSTR [J].
DOYLE, FJ ;
PACKARD, AK ;
MORARI, M .
CHEMICAL ENGINEERING SCIENCE, 1989, 44 (09) :1929-1947