Asynchronously Switched Output Tracking Control For Switched Systems

Switched system is an important hybrid system in the control field,which has broad applications and great theoretical value.As one of the important research subject,tracking control theory is applied widely in industry.However,in practical application,it needs time to confirm subsystems thus matching the controllers.Therefor,the switching of the subsystem and the controller candidate is asynchronous.This makes the tracking control problem for switched systems even more difficult.At present,in the switched system literature,the study of asynchronous switching problem is quite limited.This paper studies the asynchronously switched output tracking control problem for two kinds of switched systems.Sufficient conditions for these problems are given by the average dwell time method.The main contributions are as follows:The H?output tracking problem for a class of cascade switched nonlinear systems is studied under asynchronous switching.The energy functions of the system are analyzed using the Lyapunov function method and the average dwell time method.By using the Lyapunov function method and the Schur lemma,the exponential asymptotic stabilization problem of cascade switched nonlinear systems is studied.Sufficient conditions for the asynchronous switching problem are given designing a set of switching law and state feedback controllers.In order to solve the tracking control problem,the tracking performance indexLJ are given using the LMI.The asynchronous1 L output tracking control problem for switched positive linear systems(SPLS)with actuator saturation is studied.By constructing the co-positive Lyapunov function and using the average dwell time(ADT)method,the sufficient conditions of the asynchronous output tracking problem to the solvable are developed.In order to achieve the tracking performances,the state feedback controllers are designed.Finally,the achieved results of the dissertation are summarized and the further research is pointed out.