期刊文献+

一类多时滞不确定性系统的鲁棒H_∞滤波器设计

Robust H_∞ Filter Design for a Class of Uncertain Linear Systems with Multiple Time State Delays
下载PDF
导出
摘要 研究了具有多状态时滞的不确定性系统的时滞相关鲁棒 H∞ 滤波问题 ,其中系统的参数不确定性是时变和模有界的 .通过构造一个适当的 Lyapunov函数 ,推导出判断一个给定滤波器满足系统 H∞ 范数要求的判别条件 ,以及符合该条件的滤波器存在的充分条件 ,给出了所有满足约束要求的滤波器的参数化表示形式 . A problem of robust H∞ filtering for continuous-time uncertain linear systems with multiple time delays was investigated. A real time-varying norm-bounded form describes the parameter uncertainties. It developed methods for robust filter design, which are dependent on the size of the delay and based on the solution of linear matrix inequalities by introducing an appropriate Lyapunov function. Moreover, the filter is parameterized and can be solved by LMI programs.
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2003年第4期479-484,488,共7页 Journal of Shanghai Jiaotong University
基金 国家自然科学基金项目 ( 60 1743 0 8) 国家高技术研究发展计划 ( 863 ) /CIMS5 11-845 -0 0 8 上海市科技启明星计划 ( 99QD14 0 12 )
关键词 鲁棒滤波 时滞 不确定性系统 Linear systems Matrix algebra Robustness (control systems) Time varying systems
  • 相关文献

参考文献9

  • 1蔡云泽,何星,许晓鸣,张卫东.一种参数不确定性系统的鲁棒状态估计方法[J].上海交通大学学报,2002,36(8):1143-1145. 被引量:1
  • 2Fu M, de Souza C E, Xie L. H∞ estimation for uncertain systems [J]. International Journal of Robust Nonlinear Control, 1992, 2(2) .87-- 105.
  • 3Lee J H, Kim S W, Kwon W H. Memoryless H∞controllers for state delayed system[J]. IEEE Transactions on Automatic Control, 1994, 39 (1) : 159-162.
  • 4Pila A W, Shaked U, de Souza C E. H∞ filtering for continuous-time linear systems with delay[J]. IEEE Transactions on Automatic Control, 1999, 44 ( 7 ) :1412--1417.
  • 5Cai Y Z, He X, Xu X M, et al. Robust H∞ filter design for uncertain linear systems with state delay[A].Proceedings of the 4th World Congress on Intelligent Control and Automation[C], Shanghai: Press of East China University of Science and Technology, 2002,1726--1730.
  • 6de Souza C E, Palhares R M, Dias Oeres P L. Robust H∞ filter design for uncertain linear systems with multiple time-varying state delay. IEEE Transactions on Signal Processing, 2001, 49(3) :569--576.
  • 7Wang Y, Xie L, de Souza C E. Robust H∞control of a class of uncertain nonlinear system[J]. System and Control Letters, 1994, 39(2) :139--149.
  • 8Gahinet P, Apkarian P. A linear matrix inequality approach to H∞control . International Journal of Robust and Nonlinear Control, 1994, 4 (5). 421 --448.
  • 9Iwasaki T, Skelton R E. All controllers for the general H∞control problem: LMI existence conditions and state space formulas [J]. Automatiea, 1994, 30(8) : 1307-- 1317.

二级参考文献8

  • 1[1]Nagpal K M, Khargonekar P P. Filtering and smoothing in an H∞ setting[J].IEEE Transactions on Automatic Control,1991,36(2):152-166.
  • 2[2]Xie L, de Souza C E. On robust filtering for linear systems with parameter uncertainty [A]. Proc 34th IEEE Conference on Decision and Control[C]. New Orieans: [s.n.], 1995.2087-2092.
  • 3[3]Xie L, Soh Y C. Robust Kalman filtering for uncertain systems[J]. Systems and Control Letters,1994,22(2):123-129.
  • 4[4]Li H, Fu M. A Linear maxtrix inequality approach to robust H∞ filtering[J]. IEEE Transactions on Signal Processing,1997,45(9):2338-2350.
  • 5[5]Zhang M, Xie H, Shi D. Robust H∞ filtering for uncertain parameter system[A]. IFAC, 14th Triennial World Congress[C]. Beijing: Tsinghua Univ Press, 1999.489-494.
  • 6[6]Wang Z, Zhu J, Unbehauen H. Robust filter design with time-varying parameter uncertainty and error variance constraints[J]. International Journal of Control,1999,72(1):30-38.
  • 7[7]Xie L, Fu M, de Souza C E. H∞ control and quadratic stabilizations of systems with parameter uncertainty via output feedback[J]. IEEE Transactions on Automatic Control,1992,37(8):1253-1256.
  • 8[8]Zhou K, Khargonekar P P. An algebraic Riccati equation approach to H∞ optimization[J]. Systems and Control Letters,1988,11(1):85-91.

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