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A new fuzzy ${H}_{\infty }$ filter design for nonlinear continuous-time dynamic systems with time-varying delays. (English) Zbl 1186.93075
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:
 93E11 Filtering in stochastic control 93C42 Fuzzy control systems
##### References:
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