Reliable H∞ filtering for discrete piecewise linear systems with infinite distributed delays

This paper is concerned with the reliable filtering problem for discrete-time piecewise linear systems subject to sensor failures and time delays. The considered sensor failures are depicted by bounded variables taking value on a certain interval. The time delays are assumed to be infinitely distributed in the discrete-time domain. The purpose of the addressed reliable filtering problem is to design a piecewise linear filter such that, for the admissible sensor failures and possible infinite distributed delays, the augmented dynamics is exponentially stable and the performance is guaranteed with a prescribed attenuation level . With the aid of the convex optimal method, the filter parameters are obtained in terms of the solution to a set of LMIs which can be solved by the Matlab Toolbox. At last, an illustrative simulation is presented to demonstrate the effectiveness and applicability of the proposed algorithms.

[1]  Zidong Wang,et al.  Distributed state estimation for uncertain Markov‐type sensor networks with mode‐dependent distributed delays , 2012 .

[2]  Zidong Wang,et al.  A Stochastic Sampled-Data Approach to Distributed $H_{\infty }$ Filtering in Sensor Networks , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Fuwen Yang,et al.  Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements , 2006, IEEE Transactions on Signal Processing.

[4]  Zidong Wang,et al.  State estimation for discrete-time Markovian jumping neural networks with mixed mode-dependent delays ☆ , 2008 .

[5]  Zidong Wang,et al.  Probability‐dependent gain‐scheduled control for discrete stochastic delayed systems with randomly occurring nonlinearities , 2013 .

[6]  Huijun Gao,et al.  On design of quantized fault detection filters with randomly occurring nonlinearities and mixed time-delays , 2012, Signal Process..

[7]  Jun Hu,et al.  Extended Kalman filtering with stochastic nonlinearities and multiple missing measurements , 2012, Autom..

[8]  Anders Rantzer,et al.  Piecewise linear quadratic optimal control , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[9]  Gang Feng,et al.  Stability analysis of piecewise discrete-time linear systems , 2002, IEEE Trans. Autom. Control..

[10]  Alberto Bemporad,et al.  Observability and controllability of piecewise affine and hybrid systems , 2000, IEEE Trans. Autom. Control..

[11]  Zidong Wang,et al.  $H_{\infty}$ State Estimation for Discrete-Time Complex Networks With Randomly Occurring Sensor Saturations and Randomly Varying Sensor Delays , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[12]  B. Foss,et al.  Constrained quadratic stabilization of discrete-time uncertain non-linear multi-model systems using piecewise affine state-feedback , 1999 .

[13]  Zidong Wang,et al.  Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Gang Feng,et al.  Reliable H∞ control for discrete-time piecewise linear systems with infinite distributed delays , 2009, at - Automatisierungstechnik.

[15]  Klaus-Dieter Thoben,et al.  Integration of supply networks for customization with modularity in cloud and make-to-upgrade strategy , 2013 .

[16]  Lihua Xie,et al.  H∞ estimation for discrete-time linear uncertain systems , 1991 .

[17]  Xinping Guan,et al.  H∞ filtering for stochastic time-delay systems , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[18]  Zidong Wang,et al.  H∞ filtering with randomly occurring sensor saturations and missing measurements , 2012, Autom..

[19]  Zidong Wang,et al.  Distributed H∞ state estimation with stochastic parameters and nonlinearities through sensor networks: The finite-horizon case , 2012, Autom..

[20]  M. Darouach,et al.  Admissibility and control of switched discrete-time singular systems , 2013 .

[21]  Huijun Gao,et al.  Finite-Horizon $H_{\infty} $ Filtering With Missing Measurements and Quantization Effects , 2013, IEEE Transactions on Automatic Control.

[22]  Bo Shen,et al.  Robust Hinfinity finite-horizon filtering with randomly occurred nonlinearities and quantization effects , 2010, Autom..

[23]  Huijun Gao,et al.  Robust $H_{\infty}$ Filtering for a Class of Nonlinear Networked Systems With Multiple Stochastic Communication Delays and Packet Dropouts , 2010, IEEE Transactions on Signal Processing.

[24]  Zidong Wang,et al.  Robust Hinfinity finite-horizon filtering with randomly occurred nonlinearities and quantization effects , 2010, Autom..

[25]  Hongye Su,et al.  Reliable H-infinity filtering for linear systems with sensor saturation , 2013 .

[26]  Jun Hu,et al.  Probability-guaranteed H∞ finite-horizon filtering for a class of nonlinear time-varying systems with sensor saturations , 2012, Syst. Control. Lett..

[27]  J. Liang,et al.  Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neural Networks , 2008, IEEE Transactions on Neural Networks.

[28]  Bjarne A. Foss,et al.  Constrained quadratic stabilization of discrete-time uncertain nonlinear multi-model systems using piecewise affine state-feedback , 1999 .

[29]  Gang Feng,et al.  Delay-Dependent ${H}_{\infty}$ Filtering of Piecewise-Linear Systems With Time-Varying Delays , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Subbarayan Pasupathy,et al.  Predictive head movement tracking using a Kalman filter , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[31]  Zidong Wang,et al.  A delay-dependent approach to H ∞ filtering for stochastic delayed jumping systems with sensor non-linearities , 2007, Int. J. Control.

[32]  M. Benrejeb,et al.  New delay-dependent stability conditions for linear systems with delay , 2011, 2011 International Conference on Communications, Computing and Control Applications (CCCA).

[33]  Bo Shen,et al.  Sampled-Data Approach to Distributed H ∞ Filtering in Sensor Networks , 2013 .

[34]  WangZidong,et al.  Robust H∞ filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts , 2010 .