Research On Event-Triggered Control Of Switching Systems

In practical engineering,modern computer communication and signal processing technology develop rapidly,and the networked system can realize the remote control and detection of the system and effectively improve the flexibility and reliability of the control system.Because the event-triggered sampling mechanism has the advantages of reducing redundant sampling or data transmission and energy loss of sensor nodes,the control strategy combining the event triggering mechanism and networked system is imperative.This paper will introduce bilateral event triggering mechanism to study the stability of various switching systems,including limited time control problem of switching system with bilateral event trigger,limited time H-infinity control problem with bilateral event trigger,H-infinity control problem of uncertain switching system with bilateral event trigger and limited time H-infinity control problem of uncertain switching system with bilateral event trigger.The specific research contents are as follows:Firstly,the switching system with the bilateral event trigger is studied to discuss the limited time problem of the linear switching system.The trigger conditions of the two event triggers are designed according to the output signal of the switching system and the output signal of the controller,respectively,and they rely on the closed-loop error switching system to establish a criterion for satisfying the finite time bounded and input-output finite time stability.Solving these two judgment conditions by using the toolbox of linear matrix inequality,we obtain the control parameters of the state feedback controller and the full-dimensional observer.Finally,the design scheme is verified by performing numerical simulations in MATLAB / Simulink.Secondly,the finite time H-infinity control problem is discussed for the switching system with bilateral event trigger.Relying on the closed-loop error switching system to establish the finite time bounded criterion,and explore whether the system has H-infinity performance indicators,by using the linear matrix inequality toolbox to solve these two judgment conditions,to obtain the control parameters of the state observer and the state feedback controller.Finally,the design scheme is verified by performing numerical simulations in MATLAB / Simulink.Thirdly,the bilateral event trigger H-infinity control problem is studied for the uncertain switching system.The control input and measurement output signals of the uncertain switching system are fused with the event trigger conditions to obtain the new control input and measurement output signals.The closed-loop system is modeled as an uncertain time delay switching system with state time delay,using Lyapunov function method and average residence time method to obtain the closed-loop uncertain time delay system index stability and H-infinity disturbance decay index,and the design method of state feedback controller based on linear matrix inequality(LMIs)is given.Finally,the design scheme is verified by performing numerical simulations in MATLAB / Simulink.Finally,we study the finite time H control for uncertain time delay switching system.Under the action of two event triggers,using the average residing time method,the closed-loop time delay uncertainty switching system meets the finite time bounded and H disturbance decay index.Then,the judgment conditions are transformed into linear matrix inequalities that can be solved by LMIs to obtain the design method of the controller and the observer.Finally,the design scheme is verified by performing numerical simulations in MATLAB / Simulink.