Control And Analysis Of Time-delayed Network Systems With Event-triggering Scheme

With the development and integration of digital technology,communication technology and control theory,networked system control theory has been developed rapidly.In the process of networked control,the event-triggered mechanism can update and transmit the signal only when the control performance is poor according to the pre-set threshold,which can effectively save the network resources.In recent years,the research on event-triggered control in networked systems has produced a lot of achievements.However,for continuous time-varying delay systems,parameteruncertain systems and hybrid time-delay neural networks,the control problem based on event-triggered mechanism is not well studied.Based on this,this paper studies the robust stability,state estimation and synchronization control of several kinds of time-delay systems by introducing a new event-triggered control mechanism.The details are as follows:1.The problem of robust input-to-state stabilization for a class of uncertain time-delay systems is studied by introducing an event-triggered mechanism under the influence of bounded time-varying delays and bounded external disturbances.The system under consideration is affected by norm-bounded time-varying parameter uncertainties and time-varying exogenous disturbances,which make the existing event-triggering mechanisms not directly applicable.We use state feedback to construct the controller,adopt the mixed threshold function which depends on the continuous measurement error state and the normal value to design the trigger mechanism,and establish the closed-loop system model.By constructing suitable Lyapunov function,using the technique of inequality and matrix theory,the sufficient conditions of robust input to state stability for closed-loop systems are established,and the Zeno phenomenon in the triggering mechanism is eliminated.Finally,a joint design method of controller feedback gain matrix and event trigger parameters is obtained based on the Linear matrix inequality technique.Numerical examples and simulations show the validity and feasibility of the theoretical results.2.The problem of state estimation for a class of neural networks with mixed delays based on event-triggered mechanism is considered.The neural network model contains both time-varying bounded and unbounded distributed delays,and the activation function satisfies the General Lipschitz Condition.In the process of constructing the state estimator,we propose a different event triggering mechanism.The triggering threshold function is affected by both the continuous observation error state and the time-varying decreasing function,the upper bound of the estimation error in the existing results is weakened.By using the inequality technique and the comparison principle of delay differential systems,we obtain the exponential stability criterion of the estimation error system,and establish the joint design method of state observation gain Matrix and trigger parameter.Numerical examples and simulations verify the correctness and validity of the theoretical results.3.The synchronization control problem of hybrid neural networks with timedelay under event-triggered mechanism is studied.Firstly,a discrete-time driven neural network model with mixed time-delay is established and the corresponding response network is constructed.In the process of designing the synchronization controller,we construct a quadratic function by measuring the error state,and use it as a threshold to design the event triggering mechanism.For the error system,we construct a Lyapunov-Krasovskii functional depending on the time delay and the general function,and obtain the sufficient stability criterion of the synchronous error system by using the analysis technique and the matrix theory.Finally,the numerical example verifies the validity of the theoretical results.