A delay dependent approach to robust fast adaptive fault estimation design for uncertain neutral systems with time delay

Abstract

This paper studies the problem of robust fault estimation for neutral systems, which is subjected to actuator fault, constant delay and norm bounded external disturbance. Based on the fast adaptive fault estimation (FAFE) algorithm, we focus on the design of fault estimation filter that guarantees the filtering error systems to be asymptotically stable with a prescribed [Formula: see text] performance. A novel Lyapunov-Krasovskii functional is employed, which includes the information of time delay. A delay dependent criterion of robust fault estimation design is obtained, and then the proposed result has advantages over some existing results, in that it has less conservatism and it enlarges the application scope. An improved sufficient condition for the existence of such a filter is proposed in terms of the linear matrix inequality (LMI) by the Schur complements and the cone complementary linearization algorithm. Finally, an illustrative example is given to show the effectiveness of the proposed method.