Research On Finite Time Control Problem Of Time-delay Switching Systems

Switched systems have strong engineering background in various areas.The typical application examples include power electronics,networked control systems,manipulator robots,flight control systems and the other fields.Furthermore,as one of the effective means to enable the system to achieve good performance indicators,some relative problems of switched systems attract extensive attention.This paper mainly studied the the finite-time control problem of a class of switched delay systems with both stable and unstable subsystems.We obtain some new conclusions and the main content is shown as follows:1)Finite-time bounded and weighted L₂ gain analysis for switched time-delay systems with disturbance.For switched time-delay systems with both stable and unstable subsystems,by constructing an appropriate Lyapunov-Krasovskii functional and resorting to the average dwell time approach,a sufficient criterion is provided to guarantee the finite-time boundedness and has finite-time weighted L₂ gain of switched systems with time-delays under the given maximum ratio between the running time of unstable subsystems and the running time of stable subsystems.Furthermore,a memory state feedback controller is constructed to stabilize of the systems.Finally,simulation results verify the effectiveness applicability of the main results.2)Observer-based finite-time weighted L₂-L_?control of switched delay systems.Both stable subsystems and unstable subsystems are considered to coexist in the systems,the problem of Observer-based finite-time weighted L₂-L_?control is addressed.By constructing an appropriate Lyapunov-Krasovskii functional and resorting to the average dwell time approach,some sufficient criteria are respectively provided to cope with the problems of finite-time boundedness under the weighted L₂-L_?performance index.Then,observer-based controller is established to ensure the finite-time stabilizable.Finally,an example are demonstrated and the simulation result illustrates the effectiveness of the proposed method.