ROBUST ACTUATOR AND SENSOR FAULT ESTIMATION FOR FUZZY DELAY SINGULARLY PERTURBED SYSTEMS VIA PROPORTIONAL MULTIPLE-INTEGRAL OBSERVER

摘要

This paper addresses the problem of fault estimation (FE) for a class of time delay fuzzy singular perturbed systems with actuator fault, sensor faults and external disturbances simultaneously. By taking the system fault as auxiliary disturbance signal, a proportional multiple-integral (PMI) FE observer under H_∝ constraint is constructed. Then, the less conservative sufficient conditions for the existence of observer are explicitly provided. The resulted estimator can guarantee that the error dynamic systems are asymptotically stable u(t) = 0 and satisfy H_∝ performance for sufficiently small perturbation parameter ε. Compared with the existing results, the gains of estimator are solved directly by a set of e-independent LMIs, and the proposed estimator can better describe the shape and size of system faults. Meanwhile, the design scheme is with less conservative and a wilder application range. Finally, the simulation results show the effectiveness of the proposed approach.