Robust Stability Analysis For Several Classes Of Switched Linear Systems With Time-delay

Switched system with time-delay is an important class of hybrid dynamicsystems and it’s consist of the interaction among the continuous dynamic，discretedynamic and time-delay． Time-delay and uncertainty widely exist in the actualswitched systems, meanwhile, they are the significant elements of instability andperformance degradation. Therefore, the analysis and synthesize research of thedelay switched systems have very important practical significance. The thesis issummarized as follows：Firstly，the problem of robust stability of a class of switched systems withtime-delay and exterior disturbance is considered, meanwhile, uncertainties exist inthe state matrix, delay matrix and input matrix at the same time. A kind of robuststate-feedback controller is designed，the sufficient condition of robust stability andthe switching strategy are also designed by using completeness condition andcommon Lyapunov function.Secondly, the problem of robust stability and stabilization for linear switchedsystem with multiple time-delays and uncertainties is suggested. A delay-dependentstable condition is given by using Lyapunov-Krasovskii function and LMI method.This criterion is used to design a delayed state-feedback controller.Thirdly, the delay-dependent stability and stabilization for linear switchedsystems with multi time-delays is discussed. A delay-dependent stability conditionand the state feedback controller are obtained by using the Lyapunov-Krasovskiifunction method and following the free weighing matrix.At last, the problem of robust H_∞control for linear switched system withtime-delay and uncertainties is discussed．By applying Lyapunov function and LMItechnique the H_∞property of the system is investigated and the state feedbackcontrollers are designed．...