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

Abstract

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.

Keywords:

• piecewise linear systems
• filtering
• infinite distributed delays
• sensor failures

Notes

This work was supported in part by the National Natural Science Foundation of China under Grant 61074016, the Shanghai Natural Science Foundation of China under [grant number 13ZR1428500]; Innovation Program of Shanghai Municipal Education Commission [grant number 14YZ083]; and the Alexander von Humboldt Foundation of Germany.