Robust H_∞ Control For A Class Of Switched Systems With Time-delay

Time-delay switched systems is a new type of complicated systems. There are many application in engineering and have great signification in theoretical study. Because of the interaction among the continuous dynamics and discrete dynamics with time delays, the behavior of such systems is very complicated. As mechanism of system evolution is not clear, lots of problems need to be studied. This dissertation studies the robust H_∞control for linear time-delay switched systems. The contributions are as follow:Firstly, the problem of delay-dependent robust H_∞control for linear time-delay systems with uncertainties is discussed. By incorporating with matrix decomposition idea and integral inequality, a delay-dependent condition is obtained.Secondly, a class of time varying delayed systems with nonlinear uncertainties is studied. By means of hybrid feedback control strategy, based on single Lyapunov function and multiple Lyapunov function the sufficient conditions of the problem of robust H_∞control for the systems are obtained, and the switching laws and state feedback controllers are designed.Thirdly, by employing LMI, the problem of robust H_∞control for a class of linear switching systems with time delays is discussed. Based on single Lyapunov function and multiple Lyapunov function the sufficient conditions of the problem are obtained, and the switching laws and state feedback controllers are designed.Finally, the concept for interconnected switching systems is introduced in this dissertation. The robust H_∞control for a class of interconnected switching delay systems with uncertainties is studied. By employing single Lyapunov function and multiple Lyapunov function the sufficient conditions of the problem are obtained, and the switching laws and state feedback controllers are designed.