改进滑模面的自适应终端滑模混沌同步控制  

Chaos Synchronization Based on Adaptive Terminal Sliding Mode Control with Improved Sliding Mode Surface

作　　者：赵少达 修春波[1] 李宏杰[1] ZHAO Shao-da;XIU Chun-bo;LI Hong-jie(School of Control Science and Engineering,Tiangong University,Tianjin 300387,China)

机构地区：[1]天津工业大学控制科学与工程学院,天津300387

出　　处：《控制工程》2023年第5期841-848,855,共9页Control Engineering of China

基　　金：天津市自然科学基金资助项目(18JCYBJC88300,18JCYBJC88400)。

摘　　要：为了提高混沌同步误差在滑模面上的收敛速度,提出了一种改进的终端滑模面,并设计了自适应终端滑模控制律,改善了混沌同步控制性能。在终端滑模面中引入系统状态量的幂指函数积分项,提高了误差沿滑模面的收敛速度。针对同时考虑系统中存在未知参数、不确定项及外部扰动的混沌系统的同步控制问题,设计了自适应终端滑模控制律,实现了混沌同步系统的滑模控制,并对系统的稳定性进行了证明。将所设计的滑模控制方法应用于混沌同步控制系统中,相比于传统终端滑模控制方法,改进方法能够明显提高误差的收敛速度。仿真实验验证了所提方法的有效性。In order to improve the convergence rate of the chaotic synchronization error on sliding mode surface,an improved terminal sliding mode surface is proposed and an adaptive terminal sliding mode controller is designed to improve the performance of chaotic synchronization control.The power-exponential function integral term of the state variable is introduced into the existing terminal sliding mode surface,and the error convergence rate along the sliding mode surface is enhanced.Aiming at the synchronization control of the chaotic system with unknown parameters,uncertain items and external disturbances,an adaptive terminal sliding mode control law is designed,the sliding mode control of the chaotic synchronization system is realized,and the stability of the synchronization system is proved.The designed sliding mode control method can be applied to the chaotic synchronization control system.Compared with the traditional terminal sliding mode control method,the error convergence rate of the proposed method can be significantly improved.Simulation results verify the effectiveness of the proposed method.

关 键 词：终端滑模控制 滑模面 混沌同步 未知参数 不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]