期刊文献+

Robust H-infinity estimation for continuous-time polytopic uncertain systems 被引量:2

Robust H-infinity estimation for continuous-time polytopic uncertain systems
下载PDF
导出
摘要 The design of full-order robust H-infunity estimators is investigated for continuous-time polytopic uncertain systems, The main purpose is to obtain a stable and proper linear estimator such that the estimation error system remains robustly stable with a prescribed H-infinity attenuation level. Based on a recently proposed H-infinity performance criterion which exhibits a kind of decoupling between the Lyapunov matrix and the system dynamic matrices, a sufficient condition for the existence of the robust estimator is provided in terms of linear matrix inequalities. It is shown that the proposed design strategy allows the use of parameter-dependent Lyapunov functions and hence it is less conservative than earlier results. A numerical example is employed to illustrate the feasibility and advantage of the proposed design. The design of full-order robust H-infunity estimators is investigated for continuous-time polytopic uncertain systems, The main purpose is to obtain a stable and proper linear estimator such that the estimation error system remains robustly stable with a prescribed H-infinity attenuation level. Based on a recently proposed H-infinity performance criterion which exhibits a kind of decoupling between the Lyapunov matrix and the system dynamic matrices, a sufficient condition for the existence of the robust estimator is provided in terms of linear matrix inequalities. It is shown that the proposed design strategy allows the use of parameter-dependent Lyapunov functions and hence it is less conservative than earlier results. A numerical example is employed to illustrate the feasibility and advantage of the proposed design.
出处 《控制理论与应用(英文版)》 EI 2005年第4期393-398,共6页
基金 ThisworkwassupportedbytheChineseNationalNaturalScienceFoundation(No.60374024).
关键词 H-infinity estimation Polytopic uncertainty Conservativeness Pararneter-dependent H-infinity estimation Polytopic uncertainty Conservativeness Pararneter-dependent
  • 相关文献

参考文献12

  • 1Huijun Gao,Changhong Wang.New approaches to robust l 2?l ∞ and H ∞ filtering for uncertain discrete-time systemsfiltering for uncertain discrete-time systems[J].Science in China Series F: Information Sciences.2003(5) 被引量:1
  • 2R. M. Palhares,P. L. D. Peres.Robust ?∞-Filtering Design with Pole Placement Constraint via Linear Matrix Inequalities[J].Journal of Optimization Theory and Applications.1999(2) 被引量:1
  • 3H.Zhang.Robust LPV control of a magnetic bearing suspension systemwith a convex optimization approach[]..2003 被引量:1
  • 4J.C.Geromel.Optimal linear filtering under parameter uncertainty[].IEEETranson Signal Processing.1999 被引量:1
  • 5H.J.Gao,C.H.Wang.Robust state estimationfor systems with uncer-tain parameters[].Control and Decision.2004 被引量:1
  • 6M.C.De Oliveira,J.Bernussou,J.C.Geromel.A new discrete-time robust stability condition[].Systems and Control Letters.1999 被引量:1
  • 7L.H.Xie,W.Y.Yan,Y.C.Soh.Parameterization and optimization of reduced-order filters[].IEEETranson Automatic Control.1999 被引量:1
  • 8R.E.Kalman.Anewapproachtolinear filtering and prediction problems[].Transofthe ASMEJofBasic Engineering.1960 被引量:1
  • 9R.M.Palhares,P.L.D.Peres.Robust filter design with pole constraints for discrete-time systems[].Jofthe Franklin Institute.2000 被引量:1
  • 10L.H.Xie,W.Y.Yan,L.Li.Design of optimal reduced order filter for unstable discrete time systems[].IEE ProcControl Theory and Applications.1998 被引量:1

同被引文献8

  • 1FRIDMAN E,SHAKED U.A new H∞ filter design for linear time delay systems[J].IEEE Transactions on Signal Processing,2001,49(11):2839-2843. 被引量:1
  • 2PALHARES R M,PERES P L D.Robust filtering with guaranteed energy-to-peak performance-an LMI approach[J].Automatica,2000,36(6):851-858. 被引量:1
  • 3ROTEA M A.The generalized H2 control problem[J].Automatica,1993,29(2):373-385. 被引量:1
  • 4OLIVEIRA R C L F,PERES P L D.LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapuuov functions[J].Systems & Control Letters,2006,55(1):52-61. 被引量:1
  • 5GEROMEL J C,DE OLIVEIRA M C.H2 and H∞ robust filtering for convex bounded uncertain systems[J].IEEE Transactions on Automatic Control,2001,46(1):100-107. 被引量:1
  • 6CHILALI M,GAHINET P.H∞ design with pole placement constraints:an LMI approach[J].IEEE Transactions on Automatic Control,1996,41(3):358-363. 被引量:1
  • 7IWASAKI T.Robust performance analysis for systems with structured uncertainty[J].International Journal of Robust and Nonlinear Control,1996,6(2):85-99. 被引量:1
  • 8高会军,王常虹.参数摄动系统的鲁棒H_∞状态估计[J].控制与决策,2004,19(2):147-152. 被引量:11

引证文献2

二级引证文献4

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