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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 ${ℋ}_{\infty }$ 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.
##### MSC:
 93C42 Fuzzy control systems 93B35 Sensitivity (robustness) of control systems 93B36 ${H}^{\infty }$-control 93C10 Nonlinear control systems 93D30 Scalar and vector Lyapunov functions 93C15 Control systems governed by ODE
##### Keywords:
fuzzy system models; Lyapunov function; fault estimation