Event-triggered Impulsive Control For Discrete Dynamic Systems And Its Application

With the rapid development of network communication technology,it becomes very important to study the stability and control of networked systems.Since traditional control is usually given system control input at every moment,this may cause unnecessary control costs and is not conducive to the application of network control technology.In order to use the limited network bandwidth effectively,event-triggered control(ETC)has been proposed for networked control systems,where the control is triggered at the occurrence of an event which is generated by some well-designed event conditions.This paper starts with the introduction of the principle of event-triggered control(ETC)in discrete dynamic systems,and gives the ETC-based stability control principle and ETC algorithm for discrete time-delay systems.Then,based on the shortcomings of ETC control scheme,the event-triggered impulsive control(ETIC)scheme based on three levels of event conditions is proposed,and the stabilization of discrete systems under ETIC is analyzed.Then,the proposed ETIC scheme is further analyzed for the stabilization problem of discrete dynamic networks.Finally,based on the principle of ETIC,the problem of input state stability control of a class of micro-grid is analyzed.The details are as follows:Firstly,for the event-triggered control(ETC)problem of discrete dynamic systems,the stability control principle and algorithm of ETC are introduced.The stability control principle and control algorithm of ETC for discrete time-delay systems are analyzed.Ideally,the event-triggered design of a single linear discrete time-delay system is used to analyze the exponential stability of the discrete dynamic system is analyzed by using Lyapunov stability theory.Studies have shown that for discrete dynamic systems,the design of the trigger event evolves into the feasibility of a linear matrix inequality.Secondly,aiming at the problems existing in the general ETC control scheme,the event-triggered impulsive control(ETIC)scheme of the discrete dynamic system is proposed.The event-triggered layer of ETIC is divided into three layers: unstable layer(dangerous layer),bounded but not Convergence layer,and bounded but not ideal layer,and corresponding event-triggered conditions and impulsive control scheme are designed for each layer.Then,taking the discrete system as the research object,applying the three-layer event-triggered impulsive control principle,the corresponding event-triggered impulsive control strategy is designed,so that the unstable discrete system can obtain the required stability.Theoretical and simulation experiments show that the proposed three-layer event-triggered impulsive control is effective for obtaining the stability required for unstable discrete dynamic systems.Then,with the proposed event-triggered impulsive control(ETIC)scheme,the problem of event-triggered impulsive control in discrete dynamic networks is further analyzed.An event-triggered impulse control scheme for discrete dynamic networks is established to obtain the criteria for stability.The simulation results show that the event-triggered impulsive control(ETIC)designed in this paper can guarantee the asymptotic stability of the whole discrete dynamic network.Finally,the event-triggered impulsive principle is applied to analyze the input state stability control problem in a class of micro-grid.A discrete dynamic system model and hybrid control scheme of voltage source converter for uninterruptible power supply are proposed.According to the voltage error between the voltage of the common coupling point and its reference voltage,the threshold condition based on the event-triggered control is designed.The impulsive control is switched according to the threshold condition,and the input state stability of the voltage source converter is tested for both load disturbance and island interference.The simulation results show that the system achieves the required input state stability in both cases.In the end,this paper summarizes the main research work of this paper and discusses the further research work in the future.