Publication

Abstract : This article investigates the problem of robust dissipative fault-tolerant control for discrete-time systems with actuator failures. Based on the Lyapunov technique and linear matrix inequality (LMI) approach, a set of delay-dependent sufficient conditions is developed for achieving the required result. A design scheme for the state-feedback reliable dissipative urn:x-wiley:10762787:media:cplx21836:cplx21836-math-0001 controller is established in terms LMIs which can guarantee the asymptotic stability and dissipativity of the resulting closed-loop system with actuator failures. In addition, the proposed controller not only stabilize the fault-free system but also to guarantee an acceptable performance of the faulty system. Also as special cases, robust H∞ control, passivity control, and mixed H∞ and passivity control with the prescribed performances under given constraints can be obtained for the considered systems. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed fault-tolerant control technique. © 2016 Wiley Periodicals, Inc. Complexity 21: 579–592, 2016