Input-to-State Stability Analysis And Controller Design For Nonlinear Switched Systems

Switched systems have received an increasing research interest in virtue of their significance in both control theory and applications.Since the dynamic behavior of switched systems is affected by the interaction of the continuous dynamic and discrete dynamic,it becomes very complicate.In addition,considering that the factors of nonlinearity,external inputs,impulses,the input-to-state stability of nonlinear switched systems is challenging and interesting.The main results are summarized as follows:The input-to-state stabilization problem of nonlinear switched impulsive systems is studied.In the case that the syetem consists of all stable subsystems,but its stability may be destroyed by the occurance of impulses at the switching instants,the multiple Lyapunov functions are constructed and the switching signal is designed based on the hypothesis of slow switching.Therefore,the states jump can be compensated by the performance of stable subsystems.In the case that all the subsystems are unstable,the comprehensive design of switching signal and controller guarantees the whole system to be input-to-state stable.The input-to-state stabilization problem of nonlinear switched networked system is discussed.In case that all the subsystems are unstable,based on the event-triggered scheme and average dwell time method,both the sampled-controller and switching signal are designed.The controller updates in two cases,either the error between the current data and the last received data is larger than a threshold or the switching occurs.In addition,in order to facilitate analysis and design,the holding time intervals of the zero-order-holder is divided and the original system is rewritten as a time-delay system.Then,sufficient conditions are given to mark sure that the system is input-to-state stable.The input-to-state stability of nonlinear switched singular systems is investigated.Firstly,the original system is decomposed into a slow subsystem and a fast subsystem.Then,based on the average dwell time method and state space division,the results of both time-dependent and state-dependent switching signals are presented.According to the algebraic constraint condition,the property of the whole system can be obtained by analyzing the slow subsystem.