东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (6): 595-597.DOI: -

• 论著 • 上一篇    下一篇

一类不确定非线性切换系统的鲁棒稳定性

赵胜芝;赵军;张庆灵;   

  1. 东北大学理学院;东北大学信息科学与工程学院;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-06-15 发布日期:2013-06-23
  • 通讯作者: Zhao, S.-Z.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(6057401360274009)

Robust stability of a class of uncertain nonlinear switched systems

Zhao, Sheng-Zhi (1); Zhao, Jun (2); Zhang, Qing-Ling (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-06-15 Published:2013-06-23
  • Contact: Zhao, S.-Z.
  • About author:-
  • Supported by:
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摘要： 充分利用结构特点,通过标称系统各部分的稳定性获得一类不确定非线性切换系统的鲁棒稳定性.当标称系统的线性部分及零动态均存在共同Lyapunov函数时,通过构造依赖于不确定参数的共同Lyapunov函数得到整个系统在任意切换下的鲁棒稳定性.进一步,当标称系统的线性部分及零动态的各子系统都不渐近稳定时,通过设计切换律得到了该切换系统鲁棒稳定性的充分条件.

关键词: 非线性切换系统, 零动态, 共同Lyapunov函数, 切换律, 标称系统

Abstract: Making full use of the structural properties, the robust stability of a class of uncertain nonlinear switched systems is derived from the stability of every part of their nominal systems. When there are common Lyapunov functions found in both the linear parts and zero dynamics of the nominal systems, the robust stability of the systems available to arbitrary switching can be obtained by way of constructing a common Lyapunov function relying on uncertain parameters. Furthermore, when no subsystems of linear parts and zero dynamics are asymptotically stable in the nominal systems, the sufficient conditions ensuring the robust stability of such systems are given by designing a certain switching law through convex combination.

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