A new fuzzy H∞ filter design for nonlinear continuous-time dynamic systems with time-varying delays

Authors:
Yakun Su;Bing Chen;Chong Lin;Huaguang Zhang
Affiliations:
Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China and Department of Mathematics, Bohai University, Jinzhou 121000, Liaoning, PR China;Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China;Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China;Institute of Electric Automation, Northeastern University, Shenyang, 110004 Liaoning, PR China
Venue:
Fuzzy Sets and Systems
Year:
2009

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Abstract

This paper focuses on the problem of H"~ 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 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.