Abstract
This paper is concerned with the problems of exponential admissibility and dynamic output feedback (DOF) control for a class of continuous-time switched singular systems with interval time-varying delay. A full-order, dynamic, synchronously switched DOF controller is considered. First, by using the average dwell time approach, a delay-range-dependent exponential admissibility criterion for the unforced switched singular time-delay system is established in terms of linear matrix inequalities (LMIs). Then, based on this criterion, a sufficient condition on the existence of a desired DOF controller, which guarantees that the closed-loop system is regular, impulse free and exponentially stable, is proposed by employing the LMI technique. Finally, some illustrative examples are given to show the effectiveness of the proposed approach.
Highlights
The past decades have witnessed an enormous interest in switched systems, due to their powerful ability in modeling of event-driven systems, logic-based systems, parameter- or structure-varying systems, and so forth; for details, see 1–4 and the references therein
A class of switching signals has been identified for the switched singular timedelay systems to be exponentially admissible under the average dwell time scheme
Numerical examples have been provided to illustrate the effectiveness of the proposed methods
Summary
The past decades have witnessed an enormous interest in switched systems, due to their powerful ability in modeling of event-driven systems, logic-based systems, parameter- or structure-varying systems, and so forth; for details, see 1–4 and the references therein. When focusing on the classification problems in switched systems, it is commonly recognized that there exist three basic problems 1 : i finding conditions for stability under arbitrary switching; ii identifing the limited but useful class of stabilizing switching signals, and iii construct a stabilizing switching signal. Many effective methods have been presented to tackle these three basic problems such as the multiple Lyapunov function approach 5 , the piecewise Lyapunov function approach 6 , the switched Lyapunov function approach 7 , Mathematical Problems in Engineering the convex combination technique 8 , and the dwell time or average dwell time scheme 9– 12. Control of switched time-delay systems has received more and more attention in the past few years; see 14–23 and the references therein
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