Observer-based Event-triggered H_? Control For Uncertain Switched Systems

Stability is an important index to measure the performance of the system.The exponential stability can reflect the dynamic performance of the system over an infinite time interval,and the finite-time stability can reflect the transient performance of the system in a short time.It is very necessary to study exponential stability and finite-time stability of the system.Since external disturbance can effect the normal operation of the system,the control requirement that the system can maintain H?performances is particularly practical,under the premise of ensuring exponential stability or finite-time stability.Therefore,based on the fact that the system state can not usually be measurable directly,and in the case of the uncertainty of parameters caused by model error or system failure,design a state observer and observer-based event-triggered state feedback controller,to realize H? control and finite-time H?control for the uncertain switched systems with nonlinear disturbance.In addition,the existence of the external disturbance may lead to the Zeno behavior in the process of system operation(an infinite number of triggers in a finite time),so as to affect the normal operation of the system.As a result,the Zeno behavior is also discussed.The main contents of this paper are summarized as follows:Chapter 1:Preliminaries.The basic concepts and related knowledge of uncertain switched systems with nonlinear disturbance are introduced.Chapter 2:Observer-based event-triggered and self-triggered H? control for uncertain switching systems.By utilizing Lyapunov functions method and average dwell time approach,under the event-triggered scheme and the self-triggered scheme,some sufficient conditions are respectively derived to guarantee exponential stability and H? performance of the closed-loop system.Further,these conditions are converted to some linear matrix inequalities that can be solved by MATLAB.At the same time,the control gains,the observer gains and the parameters to be determined in the event-triggered scheme are obtained respectively.In addition,the Zeno behavior is proved to be avoided.Finally,a numerical example is provided to illustrate the effectiveness of the results.Chapter 3:Observer-based event-triggered and self-triggered finite-time H?control for uncertain switching systems.By utilizing Lyapunov functions method and average dwell time approach,under the event-triggered scheme and the selftriggered scheme,some sufficient conditions are respectively derived to guarantee finite-time boundedness and H? performance of the closed-loop system.Further,these conditions are converted to some linear matrix inequalities that can be solved by MATLAB.At the same time,the control gains,the observer gains and the parameters to be determined in the event-triggered scheme are obtained respectively.In addition,the Zeno behavior is proved to be avoided.Finally,a numerical example is provided to illustrate the effectiveness of the results.