Synchronization Control And Analysis Of Networked Nonlinear Systems

In recent years,networked nonlinear systems have been widely used in the field of artificial intelligence,intelligent manufacturing,smart grid and Internet congestion control.These large-scale systems are interacted by many subsystems,and the subsystems communicate with each other through the network.Limited by the network bandwidth,external nonlinear disturbances and the physical structure of the sensor itself,the operating state of the entire system will fluctuate greatly.Therefore,how to design a controller makes it crucial for networked nonlinear systems to be synchronized.This thesis focuses on the problems of networked nonlinear systems transmission delay,actuator saturation,external disturbance and other issues.The synchronization of networked nonlinear systems can be achieved by designing a distributed sampled-data control strategy.Then,sufficient conditions are derived for the synchronization of networked nonlinear systems.The research results can be concluded as follows:1.Considering the problems of networked nonlinear systems actuator saturation,based on free-weighting matrix approach,Lyapunov stability theory,sufficient conditions ensuring the synchronization of networked nonlinear systems with actuator saturation are derived.Then,the sampled-data control strategy is proposed,it is theoretically shown that the synchronization of networked nonlinear systems can be achieved if the controller gain is suitably selected.Finally,the upper bound for maximum sampling is estimated through a simple algorithm and the feasibility of the obtained results is verified by a simulation example.2.Considering the problems of networked nonlinear systems with external disturbance,the pinning synchronization control problem for networked nonlinear systems with a target node is investigated.First,combined with LMI toolbox,free-weighting matrix approach and Lyapunov stability theory,sufficient conditions are derived to guarantee the global H_?pinning synchronization for networked nonlinear systems,and a H_?performance index is given.Finally,the validity of the proposed method is verified using a simulation.3.Considering the pinning synchronization problem of networked nonlinear systems with a target node.A decoupling method is adopted to investigate each channel of networked nonlinear systems independently.By constructing Lyapunov functional appropriately,it is proved that the pinning synchronization of networked nonlinear systems with a target node can be achieved.Furthermore,further study is to investigate the pinning synchronization of networked nonlinear systems in the presence of constant delay.A novel criteria is obtained by using Jensen's inequality and Wiritinger's inequality.Finally,the lower bound and upper bound of the sampling interval are estimated and a simulation is presented to illustrate the correctness of the proposed approach.