Abstract
This paper is concerned with the non-fragile reliable D-stabilization problem of a class of delta operator switched linear systems with actuator faults, in terms of linear matrix inequalities (LMIs). Firstly, to handle the determination problem of the decay rate of a delta operator system in the process of D-stabilizing, the theory of first-order LMI regions is proposed. Secondly, to deal with the uncertain matrices multiplication phenomenon appearing in non-fragile reliable control, a new approach is proposed. Based on the average dwell time technique and the two new methods mentioned above, the state feedback controller and the switching law are designed to guarantee that all the closed-loop poles of each mode lie in a specified disk and the closed-loop switched system is exponentially stable. Finally, the validity and feasibility of the proposed approach are illustrated by a flight control system example.
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