期刊文献+

凸多面体不确定时滞系统的鲁棒广义H_2控制

Robust Generalized H_2 Control for Time-delay System with Polytopic Uncertainties
在线阅读 下载PDF
导出
摘要 利用变量分离方法得出闭环时滞系统具有指定广义H2性能的一个等价条件,再根据该等价条件,给出凸多面体不确定时滞系统存在鲁棒L2-L∞状态反馈控制器的一个充分条件及控制器的设计方法,并用算例验证该方法能够求出凸多面体不确定时滞系统的最优扰动衰减水平,具有较小保守性。 An equivalent condition of the closed-loop time-delay system satisfying the generalized H2 performance was derived by using the method of variant separation. Based on the equivalent condition, a suffcient condition for the existence and design method of the generalized H2 controller were given for the time-delay system with polytopic uncertainties. An illustrative example shows the minimum disturbance attenuation level with less conservative can be calculated by this method.
出处 《广西科学院学报》 2009年第3期168-172,共5页 Journal of Guangxi Academy of Sciences
关键词 时滞系统 广义H2控制 凸多面体 time-delay systems, generalized H2 control, polytopic
  • 相关文献

参考文献8

  • 1Wilson D A. Convolution and hankel operator norms for linear systems [J]. IEEE Trans Automatic Control, 1989,34(1) :94-97.
  • 2刘宏亮,樊丽颖,段广仁.线性时滞系统的鲁棒广义H2弹性控制[J].电机与控制学报,2008,12(2):213-217. 被引量:5
  • 3Rotea M A. The generalized H2 control problem[J]. Automatica, 1993,29 : 373-385.
  • 4高会军,王常虹,李艳辉.时滞不确定系统的广义H_2控制[J].电机与控制学报,2002,6(4):328-332. 被引量:2
  • 5Dong Y,Lam J. Suboptimal robust mixed H2/H∞ controller design for uncertain descriptor systems with distributed delays [J]. Computers & Mathematics with Applications, 2004,47 (2) : 1041-1055.
  • 6Xiang Z,Chen Q,Hu W. Robust mixed H2/H∞ control for uncertain singular systems with state delay [J]. Control and Intelligent Systems, 2006,34 (2) : 119-124.
  • 7Fridman E,Shaked U. Parameter dependent stability and stabilization of uncertain time-delay systems [J] IEEE Transactions on Automatic Control, 2003,48 (5) 861-866.
  • 8Xia Y Q,Jia Y M. Robust control of state delayed systems with polytopic type uncertainties via parameter- dependent Lyapunov functionals[J]. Systems & Control Letters, 2003,50 : 183-193.

二级参考文献19

  • 1WILSON D A. Convolution and Hankel operator norms for linear systems[J]. IEEE Trans Automatic Control, 1989. 34(1): 94-97.
  • 2ROTEAMA.The generalized H2 control problem[J].Automatica,1993,29:373-385.
  • 3SCHERER C, GAHINET P, CHILALI M. Multiobjective output-feedback control via LMI optimization[J]. IEEE Trans Automatic Control, 1997, 42(7): 896-911.
  • 4WANG J, WILSON D A. Mixed GL,/H2/GH2 control with pole placement and its application to vehicle suspension systems[J]. Int J Control, 2001, 74 (13): 1 353- 1 369.
  • 5YU L, CHU J. An LMI approach to guaranteed cost control of linear uncertain time-delay systems[J]. Automatica,1999, 35:1 155-1 159.
  • 6KIM J. Robust mixed H2/H∞ control of time-varying delay systems[J]. International Journal of Systems Sciences, 2001,32(11): 1345-1351.
  • 7DE SOUZA C E, LI X. Delay-dependent robust H∞control of uncertain linear state-delayed systems[J]. Automatica,1999, 35: 1 313- 1 321.
  • 8BOYD S P, EL GHAOUI L, FERON E, et al. Linear matrix inequalities in system and control theory[M]. Philadelphia:SIAM, 1994.
  • 9DE OLIVEIRA M C, BERNUSSOU J, GEROMEL J C.A new discrete-time robust stability condition[J]. Systems Control Lett, 1999, 37: 261-265.
  • 10DUGARD L, VERRIEST E I. Stability and control of Time-delay Systems[M]. Springer, Berlin, London, 1998.

共引文献5

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