Synchronization Of Chaotic Systems With Sampled-data Control

As a typical nonlinear system,chaotic Lur'e systems have attracted much attention due to its unique advantages.It is important to carry out relevant research on chaotic Lur'e systems.With the continuous development of control theory,some problems have arisen which need to be solved,such as model design,conservatism and so on.This paper addresses the synchronization problem by using sampled-data control method.By constructing a new Lyapunov-Krasovskii function(LKF),combining linear matrix inequality(LMI)method and inequality technique,the stability criterion with less conservative property is derived.The main research contents of this paper are as follows:Firstly,the sampled-data control technique is adopted to study the synchronization issue of Markov jumping chaotic Lur'e systems with packet loss.The packet loss and Markov jumping are analyzed in the actual system.A new loop LKF is proposed,which can make full use of the actual sampling information.We take the derivative of the designed LKF and deal with some nonlinear terms that we encounter.Then the criterion to make the system stable is obtained.Finally,two examples are used to verify the superiority of the method.Then,the stochastic sampling method is used to study the synchronization issue of uncertain chaotic Lur'e systems with time-varying delay.Considering the problem of uncertainty and input interference,the system model is designed.The controller with variable sampling period is assumed to switch randomly between different values of given probability.The chaotic Lur'e system with probabilistic sampling is transformed into a continuous system by the input delay method.A new piecewise LKF is designed and the integral terms are solved by using the inequality techniques,and the delay dependent stability criterion is obtained to stabilize the error system,thus realizing the master-slave synchronization control of chaotic Lur'e systems.The results obtained by numerical simulation are obviously improved compared with the recent references,which verifies the feasibility and superiority of the proposed method.Figure 17;Table 3;Reference 59...