Robust finite-time boundedness of H∞ filtering for switched systems with time-varying delay

Summary For switched system, switching behavior always affects the finite-time stability property, which was neglected by most previous research. This paper investigates the problem of robust finite-time boundedness of H∞ filtering for switched systems with time-varying delay. Sufficient conditions that can ensure finite-time bounded and H∞ filtering finite-time stability are derived. Based on the average dwell-time approach, the closed-loop system trajectory stays within a prescribed bound. At last, numerical examples are given to illustrate the efficiency of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd.

[1]  Shihua Li,et al.  Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance , 2011, Appl. Math. Comput..

[2]  Yongduan Song,et al.  A Novel Approach to Filter Design for T–S Fuzzy Discrete-Time Systems With Time-Varying Delay , 2012, IEEE Transactions on Fuzzy Systems.

[3]  S. Zhong,et al.  Finite-time filtering for switched linear systems with a mode-dependent average dwell time , 2015 .

[4]  Wei Xing Zheng,et al.  Exponential Stability Analysis for Delayed Neural Networks With Switching Parameters: Average Dwell Time Approach , 2010, IEEE Transactions on Neural Networks.

[5]  Wei Zhu,et al.  Stability analysis of impulsive switched systems with time delays , 2009, Math. Comput. Model..

[6]  Jie Lian,et al.  Output feedback L1 finite-time control of switched positive delayed systems with MDADT , 2015 .

[7]  M. Mahmoud,et al.  Robust finite-time H∞ control for a class of uncertain switched neutral systems , 2012 .

[8]  Dan Zhang,et al.  Estimator Design for Discrete-Time Switched Neural Networks With Asynchronous Switching and Time-Varying Delay , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[9]  Fei Liu,et al.  Finite-Time $H_{\infty}$ Fuzzy Control of Nonlinear Jump Systems With Time Delays Via Dynamic Observer-Based State Feedback , 2012, IEEE Transactions on Fuzzy Systems.

[10]  V. Phat,et al.  Switching design for exponential stability of a class of nonlinear hybrid time-delay systems , 2009 .

[11]  C. Lien,et al.  Switching signal design for global exponential stability of uncertain switched nonlinear systems with time-varying delay , 2011 .

[12]  Xiaozhan Yang,et al.  Fuzzy control of nonlinear electromagnetic suspension systems , 2014 .

[13]  Wei Xing Zheng,et al.  Finite-time stabilization for a class of switched time-delay systems under asynchronous switching , 2013, Appl. Math. Comput..

[14]  Pravin Varaiya,et al.  Smart cars on smart roads: problems of control , 1991, IEEE Trans. Autom. Control..

[15]  Hong Zhu,et al.  Finite-time H∞ estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average dwell time switching , 2015, Commun. Nonlinear Sci. Numer. Simul..

[16]  Jian Xiao,et al.  H∞ finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance , 2011, J. Frankl. Inst..

[17]  Fei Liu,et al.  Output regulation of a class of continuous-time Markovian jumping systems , 2013, Signal Process..

[18]  Qingwei Chen,et al.  Robust L2–L∞ filtering for switched systems under asynchronous switching , 2011 .

[19]  Zidong Wang,et al.  H∞ filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities , 2008, Autom..

[20]  Fei Liu,et al.  Unbiased estimation of Markov jump systems with distributed delays , 2014, Signal Process..

[21]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems , 2005, IEEE Transactions on Automatic Control.

[22]  O. Stursberg,et al.  Continuous-discrete interactions in chemical processing plants , 2000, Proceedings of the IEEE.

[23]  Fei Liu,et al.  Finite-time filtering for non-linear stochastic systems with partially known transition jump rates , 2010 .

[24]  Hamid Reza Karimi,et al.  A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations , 2010, J. Frankl. Inst..

[25]  Ligang Wu,et al.  Induced l2 filtering of fuzzy stochastic systems with time-varying delays , 2013, IEEE Transactions on Cybernetics.

[26]  Lixian Zhang,et al.  H∞ filtering for a class of discrete-time switched fuzzy systems , 2014 .

[27]  Hamid Reza Karimi,et al.  Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[28]  Xudong Zhao,et al.  Asynchronous finite-time H∞ control for switched linear systems via mode-dependent dynamic state-feedback , 2013 .

[29]  Wei Xing Zheng,et al.  Dissipativity-Based Sliding Mode Control of Switched Stochastic Systems , 2013, IEEE Transactions on Automatic Control.

[30]  Jun Cheng,et al.  Stochastic finite-time boundedness for Markovian jumping neural networks with time-varying delays , 2014, Appl. Math. Comput..

[31]  Dan Zhang,et al.  Finite-time H∞ control for a class of discrete-time switched time-delay systems with quantized feedback , 2012 .

[32]  Yun Zou,et al.  Improved delay-dependent exponential stability criteria for discrete-time recurrent neural networks with time-varying delays , 2008, Neurocomputing.

[33]  M. Grimble,et al.  A New Approach to the H ∞ Design of Optimal Digital Linear Filters , 1989 .

[34]  Wei Xing Zheng,et al.  Weighted H∞ model reduction for linear switched systems with time-varying delay , 2009, Autom..

[35]  Peng Shi,et al.  Asynchronous H∞ filtering for switched stochastic systems with time-varying delay , 2013, Inf. Sci..