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Fault tolerant control for uncertain time-delay systems based on sliding mode control. (English) Zbl 1180.93087
Summary: Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some Linear Matrix Inequalities (LMIs), a delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can be seen as a fault tolerant controller, can retain the stability of the closed loop system in the present of uncertainties, disturbances and actuator fault is designed. A numerical simulation shows the effectiveness of the approach.

93D09 Robust stability
34K35 Control problems for functional-differential equations
93C23 Control/observation systems governed by functional-differential equations
93B40 Computational methods in systems theory (MSC2010)
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