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Zbl 1186.93075
Su, Yakun; Chen, Bing; Lin, Chong; Zhang, Huaguang
A new fuzzy $H_{\infty }$ filter design for nonlinear continuous-time dynamic systems with time-varying delays.
(English)
[J] Fuzzy Sets Syst. 160, No. 24, 3539-3549 (2009). ISSN 0165-0114

Summary: This paper focuses on the problem of $H_\infty$ filter design for nonlinear systems with time-varying delays. A new approach of filter design is proposed. The proposed results may improve the existing ones due to estimate the upper bound of the derivative of a Lyapunov functional without ignoring some useful terms. A sufficient condition for the existence of such a filter is established by using the Linear Matrix Inequality (LMI) approach. Finally, two examples are given to demonstrate the effectiveness and the benefits of the proposed method.
MSC 2000:
*93E11 Filtering in stochastic control
93C42 Fuzzy control

Keywords: fuzzy system models; $H_{\infty }$ filter; linear matrix inequality (LMI); time-varying delays

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