Stability And Stabilization Of Switched Systems With State-Dependent Switching Strategy

Switched systems have gained considerable attention recently in a wide variety of practical applications,including robotics,automotive industry,air traffic manage-ment systems,networked control systems,manufacturing,and micro grid,etc.This thesis is devoted to solve the stabilization problem of switched systems by designing a state-dependent switching rule.The deduced results are further extended to address the stability issue for continuous-time switched affine systems.On the basis of the above work,the stability of networked switched systems subject to Denial-of-Service（Do S）attacks is also taken into account.The main contents of this thesis are listed below:First,we come up with a novel state-dependent switching rule in terms of the event-triggering scheme.It is proved that the number of decision variables,which de-termine the conservativeness of sufficient condition for the quadratic stabilizability,is distinctly larger than the previous ones when a switched system is composed of three or more subsystems.The implementation complexity of the switching law is significantly reduced,as well as the number of switching.Besides,the event-triggering threshold is used to determine the switching instants.By doing so,the switching instant is con-sistent with the event-triggering one.The existence of a positive minimum inter-event time between two consecutive executions of the event-triggering threshold is proved.Thus the Zeno phenomenon for the switched system can be naturally ruled out.The L₂/L_∞-gain analysis for switched systems subject to external disturbances via an event-based state-dependent switching strategy is then discussed.The proposed event-triggered switching rule can relax the condition which guarantees the bounded stability of switched systems so that it attains more feasible solutions than the previous work.Additionally,the better bounds of L₂gain performance and L_∞gain performance of the system are obtained over the set of admissible disturbances with the help of the proposed less conservative sufficient conditions.Using the event-based state-dependent switching law,we address the stability is-sue for continuous-time switched affine systems.With the aid of combining the region function with the event-triggering mechanism to construct the switching law,more can-didates are provided for the selection of the activated subsystem at each switching in-stant.As a result,it allows us to take the direction of the derivative of state into account to improve the event-based switching law.Then it is possible for us to avoid sliding motion which may occur on the switching surface.A less conservative criterion for the stability of switched affine systems is given,which does not require Lyapunov function be monotonically decreasing along the state trajectory.Finally,the stability problem of networked switched systems subject to Denial-of-Service（Do S）attacks is addressed.In contrast to restrictions of the Do S frequency and duration which are derived from the concept of average dwell time,we establish novel constraint conditions which are state-dependent and mode-dependent to provide the upper bounds on the Do S duration and frequency.Furthermore,the obtained result is extended to switched affine systems in the network environment.