切换系统的稳定性及镇定控制器设计

翟长连, 何苇, 吴智铭

翟长连, 何苇, 吴智铭. 切换系统的稳定性及镇定控制器设计[J]. 信息与控制, 2000, 29(1): 21-26.
引用本文: 翟长连, 何苇, 吴智铭. 切换系统的稳定性及镇定控制器设计[J]. 信息与控制, 2000, 29(1): 21-26.
ZHAI Chang-lian, HE Wei, WU Zhi-ming. STABILITY AND STABILIZING DESIGN OF M-SWITCHED SYSTEMS[J]. INFORMATION AND CONTROL, 2000, 29(1): 21-26.
Citation: ZHAI Chang-lian, HE Wei, WU Zhi-ming. STABILITY AND STABILIZING DESIGN OF M-SWITCHED SYSTEMS[J]. INFORMATION AND CONTROL, 2000, 29(1): 21-26.

切换系统的稳定性及镇定控制器设计

详细信息
    作者简介:

    翟长连(1970- ),男,1993于中国矿业大学数力系获学士学位,1996年于南京理工大学获自动控制专业硕士学位,现为上海交通大学自动化系博士研究生.主要研究方向为混合动态系统.
    何苇(1966- ),女,博士,现为上海交通大学自动化系讲师.主要研究方向为离散事件动态系统、混合动态系统.
    吴智铭(1936- ),男,现为上海交通大学自动化系教授,博士生导师.主要研究方向为离散事件动态系统、混合动态系统、智能控制与决策等.

  • 中图分类号: TP13

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.
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出版历程
  • 收稿日期:  1999-03-26
  • 发布日期:  2000-02-19

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