Research On Finite Time - Dispersion Control Of Associated Impulsive Switching Systems

Interconnected switched systems are popular in the practical application, such as electric power system, information network system, chemical manufacturing systems, etc. In addition, as one of the effective means to enable the system to achieve good performance indicators, switching is applied in interconnected switched systems, which is full of great practical significance and theoretical value. Therefore, some relative problems of interconnected impulsive switched systems attract extensive attention. The state response of the systems in some time interval is required to consider, which means the problem of finite-time. The problem of finite-time decentralized control for several types of interconnected impulsive switched systems is studied in this paper and the main content is shown as follows:1) Finite-time decentralized control of interconnected impulsive switched systems.For interconnected impulsive switched systems, by resorting to the average dwell time approach, a sufficient criterion is provided to guarantee the finite-time stability of the systems. Furthermore, a decentralized state feedback controller is constructed to stabilize of the system. Finally, simulation results verify effectiveness of the main results and the applicability of the developed controller design.2) Finite-time decentralized control of interconnected impulsive switched systems with timevarying delay.The problem of finite-time control is addressed for a class of interconnected impulsive switched systems with time-varying delay and dynamical disturbance. By constructing an appropriate Lyapunov-Krasovskii functional and resorting to the average dwell time approach, some sufficient criteria are respectively provided to cope with the problems of finite-time stability and finite-time boundedness. Then, based on the decentralized switched control scheme, a state-feedback controller is established to ensure the finite-time stability and the finite-time boundedness. Finally, an example are demonstrated and the simulation result illustrates the effectiveness of the proposed method.3) Finite-time resilient decentralized control for interconnected impulsive switched systems with neutral delay.Considering a class of interconnected impulsive switched systems with neutral delay, sufficient conditions are first derived to cope with the problem of finite-time boundedness and finitetime stability for these systems by applying the Lyapunov-Krasovskii functional approach and the average dwell time method. Then, the corresponding sufficient conditions are formulated in terms of linear matrix inequalities. In addition, a resilient decentralized state-feedback controller is constructed to guarantee that the systems is finite-time bounded and finite-time stable. Finally,a numerical example is presented to illustrate the effectiveness of the proposed approach.