Fuzzy $H_\infty$ Filter Design for a Class of Nonlinear Discrete-Time Systems With Multiple Time Delays

作者: Huaguang Zhang , Shuxian Lun , Derong Liu

DOI: 10.1109/TFUZZ.2006.889841

关键词: Exponential stabilityDiscrete time and continuous timeFilter designLinear matrix inequalityMathematical optimizationConvex optimizationMathematicsFuzzy control systemInterior point methodControl theoryFuzzy logic

摘要: This paper studies the fuzzy Hinfin filter design problem for signal estimation of nonlinear discrete-time systems with multiple time delays and unknown bounded disturbances. First, Takagi-Sugeno (T-S) model is used to represent state-space delays. Next, we a stable based on T-S model, which guarantees asymptotic stability prescribed index filtering error system, irrespective uncertain A sufficient condition existence such established by using linear matrix inequality (LMI) approach. The proposed LMI can be efficiently solved global convergence guarantee convex optimization techniques as interior point algorithm. Simulation examples are provided illustrate procedure present method.

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