Primary Research On Finite-time Bounded Of Switched Systems With Incomplete Information

Finite time control,which is a quantitative analysis of the system stability,requires that the states of the system do not exceed the bounds preseted during a fixed time interval.It is a remarkable fact that the research of finite time control has potential engineering application prospect and very significant theoretical worth.For switched neutral systems with time-varying delays,in this paper,based on Lyapunov-like functionals,the finite-time control problem of the system is studied,including sampled-data control.And a reasonable switching signal is designed by utilizing mode-dependent average dwell time(MDADT).In addition,in the event triggered sampling mechanism,the finite time control of linear system is studied.And,Sufficient conditions,which assure systems finite-time stable and finite-time bounded,are proposed,respectively.In addition,sampled-data control and event-triggered control belong to sampling control under with incomplete information.The main contributions of this paper are as follows:(1)Finite-time control of switched neutral systems with time-varying delaysIn this section,for switched neutral systems with time-varying delays,the problems of finite-time bounded and finite-time stable in the presence or absence of external disturbances are studied separately.Combining with MDATD,a suitable switching signal is designed.By constructing Lyapunov-like functionals and using linear matrix inequality(LMIs)calculation techniques,sufficient conditions for determining the finite-time bounded and finite-time stable of the systems are given.Moreover,finite-time weighted L2-gain of the systems is presented to measure its disturbance tolerance capability in the fixed time interval.(2)Finite-time control of switched neutral systems with time-varying delays via sampled-data controlDigital signals transmission is widely used in practical engineering,in the framework of sampled-data control,finite-time stabilization problem of switched neutral systems with time-varying delays is discussed in this part,taking into account asynchronous switching between the controller mode and the plant mode.At the same time,based on Lyapunov-like functionals,sufficient conditions transformed into LMIs under which the systems are finite-time stable are given.More importantly,In view of the relationship between sampling period and dwell time of switched systems,a bond between sampling period and MDADT is revealed.(3)Finite-time control of linear system via event-triggered output feedback controlWith the development of wire and wireless technologies,digital communication networks is an indispensable and important part of modern control systems.Based on event-triggered output feedback control,the problem of system finite-time bounded under data sampling-control is investigated in this section.Choosing Lyapunov-like function,sufficient conditions are given to ensure finite-time boundedness of the linear system and to avoid Zeno behavior in an emulation context.The conditions can be transformed into LMIs such that it is easy to be verified and used in practice.Moreover,an event-triggered rule with variable parameters,which can an improve the flexibility of design,is also proposed,aiming at conserving sources.