Finite-time Guaranteed Cost Control For Event-triggered Uncertain Switched Systems

Switched systems is a key research topic in the field of control,in practical engineering,uncertainty and external disturbances will cause systems performance degradation and even systems instability,and in most cases,these influences can not be avoided.The stability of switched systems with uncertainties is a hot topic in the field of control.In order to achieve the desired performance of the systems with uncertain factors in practical application,the guaranteed cost control method is proposed.By designing a suitable controller,the quadratic stability of the uncertain closed-loop systems is ensured and the upper bound of the given quadratic performance index is obtained.In practical engineering,event-triggered control can not only ensure the stability of the controlled systems,but also improve the control efficiency and achieve the purpose of saving systems resources.Event-triggered scheme is introduced into the switched systems to improve resource utilization.In this paper,the finite-time guaranteed cost control problem of uncertain nonlinear switched systems and uncertain nonlinear switched time-delay systems under event-triggered feedback are studied in this paper.The main results are as follows:1.Considering the influence of uncertainty,external disturbance and nonlinearity on the systems,the H? control and guaranteed cost of the uncertain nonlinear switched systems in finite-time are discussed.Based on the event-triggered scheme,by using the Lyapunov function and the mean dwell time method,the sufficient conditions for the H? performance and guaranteed cost of the uncertain nonlinear switched closed-loop systems in finite-time are obtained.The obtained nonlinear matrix is transformed into a linear matrix,and the feedback controller gains of the uncertain nonlinear switched systems are obtained.Finally,the numerical simulation is used to illustrate the accuracy of the conclusion.2.In order to solve the systems instability problems caused by uncertainty,timedelay and nonlinear,the finite-time guaranteed cost control problem of uncertain nonlinear switched time-delay systems was investigated based on the event-triggered scheme.By using the time-dependent multi-Lyapunov function and the mean dwell time method,the sufficient criteria for the finite-time stability and guaranteed cost of the switched closed-loop systems with time-delay are obtained,and the design scheme of the feedback controller for the uncertain nonlinear switched systems with time-delay is given.Finally,the validity of the conclusion is verified by a numerical simulation.