Passive Control For A Class Of Uncertain Switched Singular Systems With Time-delays

In real life,the singular systems is a kind of power system which more generalized than normal system,and singular switched system is an important branch of control area,which is a kind of special switched systems,and have a wider application background.The measurement errors in actual systems,the changes in input conditions,the unnormal working state of sensors and other components and interference from the outside world will lead to the emergence of uncertainty.Because the singular systems commonly have time-delays,the singular delay systems has a wide range of practical background.In addition,delay is often the main reason for instability in the systems.In the other word,passive resistance is a higher level of stability.The discussion of the passive process fully reflects the thought of control design and analysis,and the main method applied is linear matrix inequalities.This article is mainly focus on the passive control for a class of uncertain switched singular systems with time-delays.The main elements are as follows:Firstly,the research background of singular systems and switched systems is introduced,the development of singular passive switched system theory and its value of research is also included.Secondly,the passive control for a class of continuous uncertain switched singular systems with time-delays was studied.The linear matrix inequality(LMI)method as well as Lapunov function is used,a sufficient condition proved the passiveness for linear uncertain time-delay switched singular systems was given;then the existence condition for its strictly passive state feedback controllers and strictly passive delay state feedback controller was given,and the solution of LMI was used to create the corresponding robust passive controller.Besides the linear matrix inequalities toolbox of Matlab was used to carry out a numerical example,the results illustrate that the proposed method is feasible and effective.Then,the passive control for a class of discrete-time uncertain switched singular systems with time-delays was studied.Based on LMI approach and Lapunov function,the passivity condition of the system was obtained,and the design method of robust passive memory less state feedback controller was given.After that,considering the robust passive control problem with state delays uncertain switched singular systems in which uncertainty is norm bounded,but not required to satisfy the matching conditions,based on LMI method and Lapunov generalized function the passive conditions of uncertain switched singular systems with time-delay is obtained.Finally,the results and outlook are summarized.