Non-fragile reliable \(\mathcal D\)-stabilization for delta operator switched linear systems. (English) Zbl 1347.93217
Summary: This paper is concerned with the non-fragile reliable \(\mathcal D\)-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 \(\mathcal D\)-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, a state feedback controller and a 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.
MSC:
| 93D21 | Adaptive or robust stabilization |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C05 | Linear systems in control theory |
| 93C95 | Application models in control theory |
Keywords:
non-fragile stabilization; delta operator switched linear systems; uncertain matrices multiplication; state feedback controller; switching law; average dwell time technique; closed-loop poles; flight control systemReferences:
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