Delay-Dependent Robust Dissipative Filter for T-S Fuzzy Descriptor Time-Varying Delay Systems

This paper deals with the delay-dependent robust dissipative filter for a class of T-S fuzzy descriptor systems with parameter uncertainties. Based on Lyapunov stability theory, sufficient conditions on the existence of robust dissipative filters is derived, which guarantee that the filter error system is asymptotically stable with a dissipative index. And the design of a delay-dependent filter can be obtained by solving the linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness and superiority of the obtained results.

[1]  Fei Liu,et al.  H∞ Filtering for Discrete-Time Systems With Stochastic Incomplete Measurement and Mixed Delays , 2012, IEEE Trans. Ind. Electron..

[2]  K. Guelton,et al.  Robust fuzzy Lyapunov stabilization for uncertain and disturbed Takagi-Sugeno descriptors. , 2010, ISA transactions.

[3]  Yuechao Ma,et al.  Delay-dependent robust H∞ filter for T-S fuzzy time-delay systems with exponential stability , 2013 .

[4]  Xin-Ping Guan,et al.  H∞ filtering of time-delay T-S fuzzy systems based on piecewise Lyapunov-Krasovskii functional , 2009, Signal Process..

[5]  S. Nguang,et al.  H/sub /spl infin// filtering for fuzzy dynamical systems with D stability constraints , 2003 .

[6]  Yuanqing Xia,et al.  New Results on H∞ Filtering for Fuzzy Time-Delay Systems , 2009, IEEE Trans. Fuzzy Syst..

[7]  Kazuo Tanaka,et al.  Fuzzy descriptor systems: stability analysis and design via LMIs , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[8]  Oh-Min Kwon,et al.  Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback , 2006 .

[9]  Xian Zhang,et al.  Fuzzy-Model-Based ${{\cal D}}$-Stability and Nonfragile Control for Discrete-Time Descriptor Systems With Multiple Delays , 2014, IEEE Transactions on Fuzzy Systems.

[10]  Jong-Hae Kim,et al.  Delay-dependent robust Hinfinity filtering for uncertain discrete-time singular systems with interval time-varying delay , 2010, Autom..

[11]  Renquan Lu,et al.  H∞ filtering for singular systems with communication delays , 2010, Signal Process..

[12]  Zhang Qing-ling The Passivity Control for a Kind of T-S Fuzzy Descriptor Systems with Time-Delay , 2006 .

[13]  Anke Xue,et al.  Robust H∞ Filtering for a Class of Uncertain Lurie Time-delay Singular Systems , 2007 .

[14]  Hongye Su,et al.  Delay-dependent H∞ filtering for singular Markovian jump time-delay systems , 2010, Signal Process..

[15]  Shengyuan Xu,et al.  Reduced-order H∞ filtering for singular systems , 2007, Syst. Control. Lett..

[16]  Ji-Chang Lo,et al.  Dissipative filtering for discrete fuzzy systems , 2008, 2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence).

[17]  James Lam,et al.  Exponential estimates and stabilization of uncertain singular systems with discrete and distributed delays , 2008, Int. J. Control.

[18]  Huaguang Zhang,et al.  A new fuzzy H∞ filter design for nonlinear continuous-time dynamic systems with time-varying delays , 2009, Fuzzy Sets Syst..

[19]  Xi-Qin He,et al.  New Results on $H_\infty$ Filter Design for Nonlinear Systems With Time Delay via T–S Fuzzy Models , 2011, IEEE Transactions on Fuzzy Systems.

[20]  Wu Aiguo,et al.  Robust dissipative filtering for continuous-time polytopic uncertain neutral systems , 2009 .

[21]  Jong-Hae Kim Delay-dependent Robust $H_{\infty}$ Control for Uncertain Discrete-time Descriptor Systems with Interval Time-varying Delays in State and Control Input , 2009 .