Research On Synchronization And Fault-Tolerant Of System Based On Event Triggered Control

Nowadays,with the rapid development of network communication and signal processing technology,the digital signal control method of nonlinear system has been widely studied.In the practical application,the mode of information transmission mainly has two ways,which are time triggered and event triggered.The time triggered is convenient for the analysis and design of the system,while the event trigger is conducive to the use of network resources.Under the two triggers,we will use some theorem to study the nonlinear system to realize the fault tolerant synchronization.On the basis of analyzing and summarizing the relevant research background and the existing literature research results,this thesis completes the following innovative work:1 In view of the synchronization of chaotic systems with time delay,a continuous synchronization controller and a sampling synchronization controller are designed.Through the establishment of a unified model of chaotic system with time delay,the existence condition of the continuous synchronization controller is given by using the Lyapunov-Krasovskii function.On this basis,using the input delay method converts the sampling control system into a continuous system with time varying delay to give the design method of sampling synchronization controller by using the Lyapunov-Krasovskii function.Both the continuous synchronization controller and the sampling synchronization controller can guarantee that the chaotic error system with time delay is asymptotically stable.2 In the case of transmission delay,the sampling synchronization controller based on event triggered is designed for the synchronization of chaotic systems.The homogeneous and heterogeneous of the chaotic systems are established.Based on this model,an event triggered sampling synchronization controller is designed.The sampling controller based on event triggered is designed to realize the synchronization of chaotic system,and the system delay model is constructed for the transmission delay.On the basis of this model,the solution of the sampled synchronous controller is transformed into the stability problem of the corresponding time delay error system by input delay method.By constructing the Lyapunov-Krasovskii functional and combining the Wirtinger's inequality and the free weight matrix,the conditions for the synchronization of chaotic systems and the solution of the sampling controller are given.The sampling controller is designed to update the control parameters only under the condition that the trigger rule is satisfied,and the usage rate of the network is reduced.3 In view of the chaotic system with a fault,a fault tolerant synchronization method of the chaotic systems is proposed based on the double event triggers.According to homogeneous and heterogeneous chaotic systems,the unified model of fault tolerance is established to realize the fault tolerant synchronization by the double event triggered rules.When the fault error exceeds a set threshold,the fault compensator controller is introduced to realize fault tolerance,and at the same time to speed up the system trigger frequency to achieve synchronization faster in the case of a failure.Moreover,the conditions of fault tolerant synchronization of chaotic systems based on the double event triggers are given by using Lyapunov-Krasovskii stability theory and combining with the free weighting matrix and Wirtinger inequality.At the same time,the conservatism of the system is reduced.4 Firstly,an optimal controller based on dynamic event triggering is designed to solve the problem of fault tolerance of chaotic systems.Based on the theory of input state stability(ISS),the sufficient conditions for the fault tolerant synchronization of chaotic systems are given.The optimal synchronization controller is designed by defining the cost function.The controller updates the control parameters under the event condition is satisfied.Secondly,according to the multi agent system,the consistency protocol of dynamic event triggering is designed,and the sufficient conditions for the unification of multiple intelligent systems are given by using the ISS stability theory.At the same time,the introduction of dynamic variables in the trigger conditions,which can adjust the trigger parameters dynamically in accordance with the real-time error state of a chaotic system fault tolerant or multi-agent system,makes the trigger interval of time reach the maximum.This method can fully reduce the state information spread in the network times to solve the low communication bandwidth caused by network congestion.