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Zhang, Ying; Zhang, Rui

A robust \(H_\infty\) filter for a class of polytopic Delta operator systems. (English) Zbl 1299.93277

J. Control Theory Appl. 11, No. 2, 255-260 (2013).
Summary: This study deals with the robust \(H_\infty\) filtering for a class of Delta operator systems with polytopic uncertainties. By the aid of introducing two slack matrices to eliminate the coupling between systems matrices and Lyapunov matrices, an improved version of the bounded real lemma is given via linear matrix inequality formulation. Based on it, the existence condition of the desired filter is obtained such that the corresponding filtering error system is asymptotically stable with a guaranteed performance index. A numerical example is employed to illustrate the feasibility and advantages of the proposed design.

MSC:

93E11 Filtering in stochastic control theory
93B36 \(H^\infty\)-control
93E15 Stochastic stability in control theory
93D20 Asymptotic stability in control theory

Keywords:

robust \(H_\infty\) filtering; linear matrix inequality; polytopic uncertainty; H-infinity performance
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References:

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