Synchronization Control For Master-slave Nonliner Systems Based On Event-triggered Control

Synchronization control of nonlinear systems is an indispensable link in aerospace,electromechanical systems,chemical processing,traffic information and other fields.Under the enhance of modern science and technology,the requirements for the synchronization of nonlinear master-slave systems becomes more and more higher.The transmission delay is inescapable in the transmission of master-slave systems.Unnecessary information can increase the network load and add the energy loss,and time delays can enhance network load and seriously affect the stability of the systems,and bring new difficulties of the process of the controllers design.Based on this condition,we design event-triggered control scheme,combining with the analysis of Lyapunov function for a class of master-slave systems with nonlinear transmission delays and the effectiveness of the proposed control scheme is verified by through simulations.The main research contents of this paper can be summarized as follows:Firstly,this paper design the event-triggered controller based on periodic sampling to solve synchronization for nonlinear master-slave Lur'e systems.The event-triggered strategy is proposed to lower the frequency of controller updates,such that the energy consumption can be reduced in control signal transmission.A novel Lyapunov-Krasovskii functional is constructed to extend the sampling period of the systems,which can reduce calculation burden under limited computing capabilities.The communication time delays are considered on the Lur'e systems,which increase the difficulty on dealing with synchronization and the Zeno effect is inexistence by proof.Secondly,the transmission delays phenomenon is considered in the synchronization control of nonlinear bilateral teleoperation systems.We design event-triggered controllers to solve synchronization problem.And appropriate Lyapunov function is proposed while the inequality is used to simplify the complicated delay problem.The Zeno effect is inexistence by proof.The calculation burden and the is lower,The frequency of the information transmission between the master system and the slave system is reduced,and the system energy consumption is saved,which can make great significance in the field of practical engineering.Finally,numerical simulation by MATLAB verify the effectiveness of the designed controllers.