Robust Passive Control For Uncertain Switched Singular Systems With Time-delay

Singular systems have been widely studied by scholars,and the theoretical depth is getting stronger and stronger.The reason is that most of the power systems are based on the singular systems in real life.For example,Aerospace systems,electronic systems,electrical systems,etc.Switched singular systems are more complex than singular systems.Switched singular systems mean that each of their subsystems is a singular system.The passive control systems mean that the energy consumption rate of the systems is always less than the supply rate of the energy.In fact,the passivity of the systems is closely related to the stability of the systems.It can be said that the passivity of the systems is a higher level of stability.In recent years,more and more scholars have been added to the research of passive control systems.In this paper,we study the robust passive control problem for linear switched singular systems and nonlinear switched singular systems,respectively.The main contents are summarized as follows:(1)First,This paper introduces the research background and the mathematical model of the switched systems and the singular systems.And the mathematical models of passive control systems are introduced.Then,we introduce the methods and the lemma which can be used in this paper,and it is used to provide follow-up work.(2)The problem of robust passive control for the linear uncertain switched singular systems with time delays and the uncertain switched singular systems with multiple time delays are studied.The concept of "passive" is introduced to the switched singular systems with uncertain time-delay.By using the generalized Lyapunov method and linear matrix inequalities under appropriate conditions,the sufficient conditions are obtained to make the switched singular systems asymptotically stable and strictly passive.Then the design method of the robust controller is given.And numerical example is given to prove its feasibility.(3)The problem of robust passive control for the nonlinear uncertain switched singular systems with time delays and nonlinear uncertain switched singular systems with multiple time delays are studied.The sufficient condition is given according to the existing conditions,so that the nonlinear switched singular systems can be asymptotically stable and strictly passive.Finally,the robust passive controller is designed and an effective numerical example is given.(4)Making a summary and prospect of this paper.