Stability Analysis Of Switched Time-delay Systems With Actuators Failure

As an important hybrid system,switched system is widely studied.Switched systems are composed of several subsystems and the subsystems are actively regulated by the switching law.In fact,many physical or practical systems can be modeled as switched systems.Reliability maintains the normal operation of the control system,the possible failures of the control elements of the systems are considered in the design of the controller and the controllers make the closed-loop systems stable and satisfy certain performance index.Stability is an important performance index to measure the performance of the system.Exponential stability and asymptotic stability imply the behavior of the systems tend to zero over an infinite time interval.Finite-time stability and input-output finite-time stability reflect the transient performance of the systems over a finite time.In this paper,based on actuators failure,the problem of switched time-delay systems is investigated.The main work of this paper is summarized as follows:The first chapter introduces the basic knowledge used in the article and the related concepts of switched time-delay systems and actuator failures.The second chapter investigates input-output finite-time stability for time-delay systems with faulty actuators.A Lyapunov function is chosen to deal with the switched time-delay systems,the conditions for input-output finite-time stability of the switching delay system with actuator failures are obtained by using LMIs.The third chapter has been addressed the observer-based event-triggered control exponential stability for time-delay system with actuators failure.Using the event-trigger mechanism,combining the switching law and the observer-based state feedback controller,the conditions for the exponential stability of the switching delay system with actuator failures are obtained.The fourth chapter investigates the problem of finite-time H? output tracking control for time-delay systems with actuators failure.Firstly,a switching rule and the switching regions are presented.Then,the finite-time bounded and H? tracking performance are analyzed.Moreover,based on the switching method,the sufficient conditions for the finite-time bounded of the systems and the controller gain are obtained.