期刊文献+

一类离散时间切换系统鲁棒控制器设计 被引量:8

Robust controllers design for a class of discrete time switched systems
在线阅读 下载PDF
导出
摘要 考虑一类非线性离散时间切换系统的鲁棒二次镇定和渐近镇定问题.利用公共李亚普诺夫函数方法和多李亚普诺夫函数方法,分别设计了切换系统鲁棒状态反馈控制器和输出反馈控制器,保证了切换系统的二次稳定性和渐近稳定性.仿真结果验证了所提出算法的有效性. The robust quadratic stabilization problem and asymptotic stabilization problem are considered for a class of nonlinear discrete time switched systems. Robust state feedback controllers and output feedback controllers are designed respectively using common Lyapunov function technique and multiple Lyapunov function technique. The designed controllers guarantee the quadratic stability and asymptotic stability. Simulations show the correctness of the presented algorithms.
出处 《控制与决策》 EI CSCD 北大核心 2004年第6期663-666,670,共5页 Control and Decision
基金 国家自然科学基金资助项目(60174042) 山东省自然科学基金资助项目(Y2003G02).
关键词 离散时间切换系统 二次稳定性 多李亚普诺夫函数 输出反馈 Feedback control Lyapunov methods Robustness (control systems) State feedback
  • 相关文献

参考文献10

  • 1Brockett R W.Hybrid Modes for Motion Control Systems[M].Boston: Birkhauser,1993.
  • 2Gollu A,Varaiya P P.Hybrid dynamical systems[A].Proc 28th IEEE Conf on Decision and Control[C].Tampa,1989.3228-3234.
  • 3Seidman T I.Switching systems[R].Baltimore,1986.68-78.
  • 4Narendra K S,Balakrishnan J.A daptive control using multiple modes[J].IEEE Trans on Automatic Control,1997,42(2):171-188.
  • 5Savkin A V,Skafidas E,Evans R J.Robust output feedback stabilizability via controller switching[J].Automatica,1999,35(1):69-74.
  • 6Peleties P,Decarlo R.Asymptotical stability of m-switched systems using Lyapunov-like functions[A].Proc American Control Conf[C].Boston,1991.1679-1684.
  • 7Branicky M S.Multiple Lyapunov functions and other analysis tools for switched and hybrid systems[J].IEEE Trans on Automatic Control,1998,43(4):475-482.
  • 8张霄力,刘玉忠,赵军.一类切换系统的鲁棒控制[J].东北大学学报(自然科学版),2000,21(5):498-500. 被引量:17
  • 9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
  • 10史忠科.离散系统鲁棒稳定的简化条件及其反馈控制方法[J].控制与决策,2003,18(2):254-256. 被引量:4

二级参考文献20

  • 1[4] Ooba T, Funahashi Y. On a common quadratic lyapunov function for widely distant systems[J]. IEEE Transitions on Automatic Control,1997,42:1697-1699.
  • 2[5] Emelyanov S V. Discontinuous output feedback stabilizing in uncertain MIMO plant[J]. International Journal of Control, 1992,51(1):83-107.
  • 3[6] Dawson D M, Carroll J C. On the state observation and output feedback problems for nonlinear uncertain dynamical systems[J]. System & Control Letters, 1992,18(3):217-222.
  • 4[1] Branicky M S. Multiple lyapunov functions and other analysis tools for switched and hybrid systems[J]. IEEE Transitions on Automatic Control, 1998, AC-43(4):475-482.
  • 5[2] Narendra K S, Balakrishnan J. A common lyapunov function for stable LTI systems with commuting A-matrices[J]. IEEE Transitions on Automatic Control, 1994,39:2469-2471.
  • 6[3] Ooba T, Funahashi Y. Two conditions concerning common quadratic lyapunov functions for linear systems[J]. IEEE Transitions on Automatic Control, 1997,42:719-721.
  • 7[1]Boukas E K, Shi P. H∞ control for discrete-time linear systems with Frobenius norm-bounded uncertainties[J]. Automatica,1999,35(9):1625-1631.
  • 8[2]Corless M J, Leitmnn G. Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems[J]. IEEE Trans Automat Control,1981,26(8):1139-1144.
  • 9[3]Goodall D P, Pyan E P. Feedback controlled differential inclusions and stabilization of uncertain dynamical systems[J]. SIAM J Control Optim,1988,26(5):1431-1441.
  • 10[4]Hale J K, Verduyn Lunel S M. Introduction to Functional Differential Equations[M]. New York: Springer,1993.

共引文献26

同被引文献55

引证文献8

二级引证文献19

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