基于状态观测器的异结构混沌系统同步  

State-observer-based synchronization of non-identical chaotic systems

作　　者：孙妍 仓诗建[2] 薛薇[1] SUN Yan;CANG Shijian;XUE Wei(College of Electronic Information and Automation,Tianjin University of Science and Technology,Tianjin 300222,China;College of Art Design,Tianjin University of Science and Technology,Tianjin 300222,China)

机构地区：[1]天津科技大学电子信息与自动化学院,天津300222 [2]天津科技大学艺术设计学院,天津300222

出　　处：《山东大学学报（工学版）》2021年第6期75-83,共9页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(61873186)。

摘　　要：基于柔性变结构控制策略,研究异结构混沌系统的驱动-响应同步问题。设计驱动系统的状态观测器,估计驱动系统中不可观测的状态,提出一种柔性变结构控制算法,使状态观测器与响应系统达到完全同步。根据Lyapunov稳定性理论,证明驱动系统与观测器、观测器与响应系统之间的误差趋于零,这说明提出的柔性变结构控制器对实现异结构混沌系统之间的同步完全有效。数值仿真结果表明,状态观测器不但可以估计驱动系统的状态,而且还有一定的鲁棒性;在柔性变结构控制器作用下,可以实现状态观测器与响应系统的完全同步。The driving-response synchronization of two non-identical chaotic systems was studied based on the soft variable structure control strategy.A state observer was designed to estimate the unobserved states of the driving system,and a soft variable structure control algorithm was proposed to realize the synchronization of the state observer and the response system.The Lyapunov stability theory was used to prove that the errors between the driving system and the state observer,and between the state observer and the response system tend to zero,which indicated that the controller is effective for the synchronization of non-identical chaotic systems.The numerical results showed that the state observer can not only estimate the state of the driving system but also has certain robustness,and the response system and the state observer achieved full synchronization under the soft variable structure controller.

关 键 词：异结构混沌系统同步 LYAPUNOV稳定性理论 状态观测器 抗干扰能力测试 柔性变结构控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]