H∞ filtering for a class of uncertain nonlinear systems
Systems & Control Letters
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SIAM Journal on Control and Optimization
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Automatica (Journal of IFAC)
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Automatica (Journal of IFAC)
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Automatica (Journal of IFAC)
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CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
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Information Sciences: an International Journal
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This paper focuses on H"~ filter design for discrete-time systems with time-varying delay. A delay-dependent H"~ performance analysis result is first established for error systems without ignoring any terms in the derivative of Lyapunov functional by considering the relationship between the time-varying delay and its upper bound. The resulting criterion is extended to systems with polytopic-type uncertainties. Based on the derived H"~ performance analysis results, the H"~ filter is designed in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the merits of the proposed method.