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Zbl 1200.93133
Wu, Zhengguang; Su, Hongye; Chu, Jian
$H_\infty$ filtering for singular systems with time-varying delay.
(English)
[J] Int. J. Robust Nonlinear Control 20, No. 11, 1269-1284 (2010). ISSN 1049-8923

Summary: This paper is concerned with the delay-dependent $H_\infty$ filtering problem for singular systems with time-varying delay in a range. In terms of linear matrix inequality approach, delay-range-dependent bounded real lemmas are proposed, which guarantee the considered system to be regular, impulse free and exponentially stable while satisfying a prescribed $H_\infty$ performance level. Sufficient conditions are proposed for the existence of linear $H_\infty$ filter. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed methods.
MSC 2000:
*93E11 Filtering in stochastic control
93B36 $H^\infty$-control

Keywords: singular systems; time-delay systems; delay-range-dependent; $H_{\infty }$ filtering; linear matrix inequality (LMI)

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