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Improved Delay-Dependent H_{\infty } Filtering Design for Discrete-Time Polytopic Linear Delay Systems

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3 Author(s)
Jianbin Qiu ; Univ. of Sci. & Technol. of China, Suzhou ; Gang Feng ; Jie Yang

This brief revisits the problem of delay-dependent robust Hinfin filtering design for discrete-time polytopic linear systems with interval-like time-varying delay. Under the condition whether the unknown parameters can be measured online or not, a parameter-dependent or a parameter-independent filter is respectively developed which guarantees the asymptotic stability of the resulting filtering error system with robust Hinfin performance gamma. It is shown that by using a new linearization technique incorporating a bounding technique, a unified framework can be developed such that the full-order and reduced-order, the parameter-dependent and parameter-independent filters can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness and merits of the proposed approach.

Published in:

IEEE Transactions on Circuits and Systems II: Express Briefs  (Volume:55 ,  Issue: 2 )