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Delay-dependent fault estimation for uncertain time-delay nonlinear systems: an LMI approach. (English) Zbl 1135.93022
Summary: This paper deals with the problem of robust fault estimation for uncertain time-delay Takagi-Sugeno fuzzy models. The aim of this study is to design a delay-dependent fault estimator ensuring a prescribed performance level for the fault estimation error, irrespective of the uncertainties and the time delays. Sufficient conditions for the existence of a robust fault estimator are given in terms of Linear Matrix Inequalities (LMIs). Membership functions’ characteristics are incorporated into the fault estimator design to reduce the conservativeness of neglecting these characteristics. Finally, a numerical example is given to illustrate the effectiveness of the proposed design techniques.
93C42Fuzzy control systems
93B35Sensitivity (robustness) of control systems
93B36H -control
93C10Nonlinear control systems
93D30Scalar and vector Lyapunov functions
93C15Control systems governed by ODE