Switching between stabilizing controllers

被引:313
作者
Hespanha, JP
Morse, AS
机构
[1] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
[2] Yale Univ, Dept Elect Engn, New Haven, CT 06520 USA
基金
美国国家科学基金会;
关键词
switched systems; impulse system; hybrid systems; realization theory; stability theory;
D O I
10.1016/S0005-1098(02)00139-5
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the problem of switching between several linear time-invariant (LTI) controllers-all of them capable of stabilizing a specific LTI process-in such a way that the stability of the closed-loop system is guaranteed for any switching sequence. We show that it is possible to find realizations for any given family of controller transfer matrices so that the closed-loop system remains stable, no matter how we switch among the controller. The motivation for this problem is the control of complex systems where conflicting requirements make a single LTI controller unsuitable. (C) 2002 Published by Elsevier Science Ltd.
引用
收藏
页码:1905 / 1917
页数:13
相关论文
共 31 条
[1]  
[Anonymous], FEEDBACK CONTROL SYS
[2]  
[Anonymous], 1958, Trans Am Inst Electr Eng Part II Appl Ind
[3]  
Bainov D.D., 1989, Systems with Impulse Effect
[4]  
Beker O, 2001, P AMER CONTR CONF, P1519, DOI 10.1109/ACC.2001.945941
[5]  
Boyd S., 1991, LINEAR CONTROLLER DE
[6]  
BOYD S, 1994, SIAM STUDIES APPL MA, V15
[7]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[8]   A converse Lyapunov theorem for a class of dynamical systems which undergo switching [J].
Dayawansa, WP ;
Martin, CF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :751-760
[9]   Design and implementation of a hybrid control strategy [J].
Eker, J ;
Malmborg, J .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (04) :12-21
[10]  
FRANCIS BA, 1985, LECT NOTES CONTROL I, V88