On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H_∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties

This paper is concerned with the problem of robust H∞ filter design for switched linear discrete-time systems with polytopic uncertainties. The condition of being robustly asymptotically stable for uncertain switched system and less conservative H∞ noise-attenuation level bounds are obtained by homo...

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Bibliographic Details
Published inAdvances in Mathematical Physics Vol. 2015; no. 2015; pp. 1 - 11
Main Authors Pang, Guochen, Zhang, Kanjian
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 2015
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Control theory
Euclidean space
Methods
Neural networks
Noise
Systems stability
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Summary:This paper is concerned with the problem of robust H∞ filter design for switched linear discrete-time systems with polytopic uncertainties. The condition of being robustly asymptotically stable for uncertain switched system and less conservative H∞ noise-attenuation level bounds are obtained by homogeneous parameter-dependent quadratic Lyapunov function. Moreover, a more feasible and effective method against the variations of uncertain parameter robust switched linear filter is designed under the given arbitrary switching signal. Lastly, simulation results are used to illustrate the effectiveness of our method.
ISSN:1687-9120
1687-9139
DOI:10.1155/2015/271765