A new fuzzy H∞ filter design for nonlinear continuous-time dynamic systems with time-varying delays

This paper focuses on the problem of H"~ filter design for nonlinear systems with time-varying delays. A new approach of filter design is proposed. The proposed results may improve the existing ones due to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms. A sufficient condition for the existence of such a filter is established by using the linear matrix inequality (LMI) approach. Finally, two examples are given to demonstrate the effectiveness and the benefits of the proposed method.

[1]  Bor-Sen Chen,et al.  H∞ fuzzy estimation for a class of nonlinear discrete-time dynamic systems , 2001, IEEE Trans. Signal Process..

[2]  Emilia Fridman,et al.  An improved delay-dependent H∞ filtering of linear neutral systems , 2004, IEEE Trans. Signal Process..

[3]  M. Konishi,et al.  Optimal Water Cooling Control for Plate Rolling , 2007, Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007).

[4]  D. Bernstein,et al.  Steady-state Kalman filtering with an H ∞ error bound , 1989 .

[5]  James Lam,et al.  Parameter-dependent filter design with guaranteed H-infinity performance , 2005 .

[6]  Qing-Guo Wang,et al.  Delay-range-dependent stability for systems with time-varying delay , 2007, Autom..

[7]  Yong-Yan Cao,et al.  Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models , 2001, Fuzzy Sets Syst..

[8]  Guo-Ping Liu,et al.  Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties , 2004, IEEE Transactions on Automatic Control.

[9]  Huijun Gao,et al.  A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems , 2004, IEEE Trans. Signal Process..

[10]  Qing-Guo Wang,et al.  Fuzzy Weighting-Dependent Approach to $H_{\infty}$ Filter Design for Time-Delay Fuzzy Systems , 2007, IEEE Transactions on Signal Processing.

[11]  D. Bernstein,et al.  Steady-state kalman filtering with an H∞ error bound , 1989, 1989 American Control Conference.

[12]  Huaguang Zhang,et al.  Fuzzy $H_\infty$ Filter Design for a Class of Nonlinear Discrete-Time Systems With Multiple Time Delays , 2007, IEEE Transactions on Fuzzy Systems.

[13]  Tong Heng Lee,et al.  $H_{\infty} $ Filter Design for Nonlinear Systems With Time-Delay Through T–S Fuzzy Model Approach , 2008, IEEE Transactions on Fuzzy Systems.

[14]  Jinliang Liu,et al.  H∞ filter design for nonlinear systems with time-delay through T-S fuzzy model approach , 2010, 2010 Chinese Control and Decision Conference.

[15]  Yan Shi,et al.  Resilient observer-based control of uncertain time-delay systems , 2007 .

[16]  Shengyuan Xu,et al.  Exponential H∞ filter design for uncertain Takagi-Sugeno fuzzy systems with time delay , 2004, Eng. Appl. Artif. Intell..

[17]  Fuwen Yang,et al.  Robust Kalman filtering for discrete time-varying uncertain systems with multiplicative noises , 2002, IEEE Trans. Autom. Control..

[18]  E. Sánchez,et al.  OPTIMAL LINEAR FILTERING FOR SYSTEMS WITH MULTIPLE STATE AND OBSERVATION DELAYS , 2007 .

[19]  Shengyuan Xu,et al.  Improved delay-dependent stability criteria for time-delay systems , 2005, IEEE Transactions on Automatic Control.

[20]  Y.-C. Lin,et al.  Robust mixed H 2/H ∞ filtering for discrete-time delay fuzzy systems , 2005, Int. J. Syst. Sci..

[21]  Emilia Fridman,et al.  A new H∞ filter design for linear time delay systems , 2001, IEEE Trans. Signal Process..

[22]  Yong-Yan Cao,et al.  Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach , 2000, IEEE Trans. Fuzzy Syst..

[23]  Yong He,et al.  Delay-dependent criteria for robust stability of time-varying delay systems , 2004, Autom..

[24]  Bing Chen,et al.  Reliable control design of fuzzy dynamic systems with time-varying delay , 2004, Fuzzy Sets Syst..

[25]  Michael Basin.  Optimal Filtering for Polynomial Systems , 2008 .