STABILITY AND STABILIZING DESIGN OF M-SWITCHED SYSTEMS
-
摘要: 由稳定子系统构成的切换系统经无限次切换可能产生不稳定,本文利用李亚谱诺夫函数法,给出了确保由微分方程和差分方程描述的切换系统渐近稳定的充分条件,在此基础上给出了不受切换条件限制的,但能使切换系统渐近稳定的镇定控制器设计方法,该方法简单且易实现,并以一个例子作了说明.Abstract: A m-switched system which consists of m linear systems which are individually asymptotic stable may be unstable via infinite switching. This paper investigates the asymptotic stabilization of an m-switched systems described by continuous time system or discrete time system, using Lyapunov like functions.A sufficient condition for asymptotic stability is given. The design method of stabilizing controller is developed with it. At last an example presented shows that the method given in this paper is feasible and simple.
-
Keywords:
- switched systems /
- stability /
- controller
-
-
1 M A Wichs,P Peleties and R A DeCarlo. Construction of Piecewise Lyapunov Functuons for Stabilitzing Switched Systems. In proc of the 33rd CDC,1994:3492~3497
2 Michael S Branicky. Stability of Switched and Hybrid Systems. In Proc of the 33rd CDC,1994:3498~3503
3 Philippos Peleties,Raymond DeCarlo. Asympotic Stability of M-switched Systems Using Lyapunov-like Functions. Proc ACC,1679~1684
4 J Malmborg,B Bernhardsson,K J Astrom. A Stabilizing Switching Sscheme for Multi Controller Systems. In proc of the 13rd IFAC,1996:229~234
5 孙增圻,张再兴,邓志东编著. 智能控制理论与技术. 北京:清华大学出版社,1997:85~90
6 Kazuo Tanaka,Michio Sugeno. Stability Analysis and Design of Fuzzy Control Systems. Fuzzy Sets and Systems,1992,45(1):135~156
7 M. 维德雅瑟格著,徐德民译. 非线性系统分析,国防工业出版社,1983:152~191
计量
- 文章访问数:
- HTML全文浏览量: 0
- PDF下载量: