Robust guaranteed cost fault-tolerant control for uncertain NCS with fast interval time-varying delay

Abstract

This paper investigates the problem of robust guaranteed cost fault-tolerant control for networked control system with norm-bounded uncertain parameters. Both network-induced delay and data packet dropout are taken into consideration, and data packet dropout is regard as a kind of special delay. The synthetical delay is a interval time-varying delay, and possesses fast time-varying characteristic, namely, the derivative of delay is more than 1 and is difficult to determine the upper bound. Based on state feedback control strategy and the Lyapunov-Krasovakii approach, the delay-dependent robust guaranteed cost fault-tolerant control sufficient condition against sensor failures is derived. Because the Lyapunov-Razumikhin approach is not used and the lower bound of delay is introduced, the results possess less conservativeness. Meanwhile, the design approach of the optimal controller are given. Finally, an example is used to illustrate the effectiveness and the feasibility of proposed approach.