期刊文献+

切换时间受限时离散切换系统的稳定性

Stability of Discrete-time Linear Switched Systems under Switching Interval Restricted
下载PDF
导出
摘要 切换系统作为一类典型的混杂系统,近年来在国内外受到极大重视。实际工程中,由于切换过于频繁难以使系统保持稳定,针对切换时间间隔受限的情况,研究一类离散线性切换系统的稳定性。利用李亚普诺夫稳定性理论,给出系统满足稳定性的充分条件,并利用此条件设计出相应的切换控制规律和状态反馈子控制器。最后对包含两个离散子系统的切换系统进行了仿真计算,其结果验证了文中所给出定理的有效性。 The stability of discrete -time linear switched systems under restricted switching interval are studies. Based on the Lyapunov function ,the sufficient condictions for stability via state -based switching strategy are proposed. The controller and the switching strategy are constructed. The example is given to show the validity of the method.
作者 牛彦杰 张湜
出处 《微处理机》 2007年第3期105-107,共3页 Microprocessors
关键词 线性切换系统 离散系统 共同LYAPUNOV函数 状态反馈 切换时间间隔受限 Linear switched systems Discrete systems Lyapunov function State feedback Restricted switching interval
  • 相关文献

参考文献6

  • 1S Dontha,Z Drici.Variatlonal lyapunov method for discrete hybrid systems[J].Mathematical and computer Modeling,2003,38:191-199.
  • 2Peter V Zhivoglyadov,Richard H Middleton.Stability and switching control design issues for a class of discrete time hybrid systems[J].Automatica,2003,39:981-987.
  • 3张霄力,刘玉忠,赵军.一类离散切换系统的渐近稳定性[J].控制理论与应用,2002,19(5):774-776. 被引量:11
  • 4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. 被引量:14
  • 5叶鹏,方海涛.参数未知的切换线性随机系统能稳分析[A].第23届中国控制会议论文集[D].无锡.华东理工大学出版社,2004:601-605.
  • 6郑大钟.线性系统理论[M].北京:清华大学出版社 Springer出版社,2001..

二级参考文献7

  • 1孙增圻,智能控制理论与技术,1997年,85页
  • 2徐德民(译),非线性系统分析,1983年,152页
  • 3Xie Guangming, Zheng Dazhong. Controllability and reachability of linear switching systems [J]. Control Theory and Applications,1999, 16(Suppl.):135-140 (in Chinese)
  • 4Narendra K S, Balakrishnan J. A common Lyapunov function for stable LTI systems with commuting A-matrices [J]. IEEE Trans. on Automatic Control, 1994,39(12):2469-2471
  • 5Shorten R N, Narendra K S. A sufficient condition for the existence of a common Lyapunov function for two second-order linear systems [A]. In Proceedings of the Conference on Decision and Control [C]. San Diego, California, USA, 1997,3521- 3522
  • 6Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].IEEE Trans. on Automatic Conuol, 1998, 43(4) :475 -482
  • 7Peleties P, DeCarlo R A. Asymptotic stability of m-switched systems using Lyapunov-like functions [ A ]. In Proceedings of American Control Conference[C]. Boston, MA, USA, 1991,1679-1684

共引文献27

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部