Control Of Switched Systems With Distributed Delays

Switched systems are a simple and important kind of hybrid systems consisting of finite (continuous time or discrete time) subsystems and rules that orchestrates the switching between them. The behavior of switched time-delay systems is very complicated because of the interaction between the continuous dynamics,discrete switching signals and delays. Switched delays ystems have been interested of more and more scientists due to their great signifieance of theoretical study and many applications inengineering.In this paper, we study the delay-dependent stability property, H∞control design, H∞robust control design and guaranteed cost control design for switched time-delay systems with distributed delays based.on the Lyapunov stability theory. The main contributions of this dissertation are as follows.Firstly, the delay-dependent stability property problem of switched time-delay systems with both discrete delays and distributed delays is discussed. Based on the munitiple Lyapunov functions and the asymptotical stability criterion of the integral form, two sufficient conditions of the asymptotical stability for this kind of switched time-delay systems is given. At the same time, the switching strategy are designed.Secondly, the problem of H∞control of switched time-delay systems with both discrete delays and distributed delays is discussed. The H∞controller and the switching strategy are given. By using the munitiple Lyapunov functions and Schur complement formula, the switching strategy and state feeedback controller for this kind of switched time-delay sysytems.Thirdly, for uncertain switched time-delay systems with both discrete delays and distributed delays, the H∞controller and the switching strategy are given. By combining the munitiple Lyapunov functions, we designed the switching strategy and state feeedback controller of this kind of systems with both discrete delays and distributed delays.Lastly, the problem of guaranteed cost control of uncertain switched time-delay systems with both discrete delays and distributed delays is discussed. By using the munitiple Lyapunov functions and combining the technique of inequality, state feeedback controller and the switching strategy of this kind of switched systems.