Fuzzy global sliding mode control for uncertain delay systems with actuator faults

For a class of time-varying state delay systems with uncertainties and additive actuator faults, a fuzzy global sliding mode controller (FGSMC) is proposed, which eliminates the reaching mode; A sufficient condition is given with Finsler's lemma and linear matrix inequality technique which guarantees the asymptotic stability of the sliding mode; Fuzzy logic is used to estimate the upper bound of uncertainties and faults. The simulation results show that the proposed FGSMC can alleviate chattering and overcome the influence of uncertainties and additive actuator faults.