Improved Global Asymptotical Synchronization of Chaotic Lur'e Systems With Sampled-Data Control

Abstract

This brief investigates the global asymptotical synchronization problem of chaotic Lur'e systems with sampled-data control. Based on a time-varying delay system transformed from the sampled-data error system, an augmented Lyapunov functional containing some useful system information is constructed, no useful terms in the derivative of the Lyapunov functional are ignored, and the relationship among the time-varying delay, its upper bound, and their difference is taken into account. A less conservative delay-dependent synchronization criterion expressed in terms of linear matrix inequalities is obtained. The effectiveness and merits of the proposed method are finally illustrated via numerical simulations for Chua's circuits.

Robust networkedH∞synchronization of nonidentical chaotic Lur'e systems

“…Thus, various master-slave synchronization schemes for chaotic Lur'e systems have been proposed in recent years. [7][8][9][10][11][12][13][14][15][16][17][18][19] Generally, a master-slave synchronization controller can be modeled as a continuous-time case. Some synchronization schemes have been proposed to achieve the performance requirements, such as the impulsive feedback control [9,12,13] and the delay feedback control.…”

“…Recently, hybrid system models have been generally built via a zero-order hold (ZOH) for the sampleddata control. [11,17] However, those schemes did not consider the transmission-induced delays and data packet dropouts. Moreover, a robust synchronization is out of their results.…”

Synchronization of Chaotic Systems Using Sampled-Data Polynomial Controller

“…In Refs. [65][66][67], synchronization of two identical chaotic systems using sampled-data controller was reported. Synchronization of Lurie systems using sampled-data output-feedback control technique is reported in Refs.…”

“…In Refs. [45,67], chaotic Lur'e systems were considered that the system dynamics can be described as a linear system with a nonlinear component which was assumed to be lying in a nonlinear sector. Information of nonlinear components is brought to the stability analysis through some slack matrices.…”

“…However, when the system cannot be written in the required form or the nonlinear sector covers the whole operating range, the stability conditions in Refs. [66,67], may not be applied.…”