复混沌系统的稳态控制  

Steady state control of complex chaotic systems

作　　者：张芳芳 张帅虎 马凤英[1] 纪鹏 寇磊 李春彪[3] 雷腾飞 ZHANG Fang-fang;ZHANG Shuai-hu;MA Feng-ying;JI Peng;KOU Lei;LI Chun-biao;LEI Teng-fei(School of Information and Automation Engineering,Qilu University of Technology(Shandong Academy of Sciences),Jinan Shandong 250353,China;Institute of Oceanographic Instrumentation Shandong Academy of Sciences,Qilu University of Technology(Shandong Academy of Sciences),Qingdao Shandong 266100,China;School of Electronic&Information Engineering,Nanjing University of Information Science&Technology,Nanjing Jiangsu 210044,China;College of Mechanical and Electrical Engineering,Qilu Institute of Technology,Jinan Shandong 273100,China)

机构地区：[1]齐鲁工业大学(山东省科学院)信息与自动化学院,山东济南250353 [2]齐鲁工业大学(山东省科学院)山东省科学院海洋仪器仪表研究所,山东青岛266100 [3]南京信息工程大学电子与信息工程学院,江苏南京210044 [4]齐鲁理工学院机电工程学院,山东济南273100

出　　处：《控制理论与应用》2023年第4期744-752,共9页Control Theory & Applications

基　　金：齐鲁工业大学国际合作研究项目(QLUTGJHZ2018020);国家自然科学基金项目(61903207);山东省重大科技创新项目(2019JZZY010731,2020CXGC010901)资助。

摘　　要：混沌系统的多稳态具有复杂性和非预期性,引起了人们的极大关注,如何针对混沌系统进行稳态控制还没有有效的方法.混沌吸引子是复混沌系统典型的动态特性.本文的主要目标是选择合适的控制方法使复混沌系统在预定的位置范围获得期望的稳态吸引子.本文即针对复混沌稳态吸引子的控制问题,提出了分段函数控制器和比例正弦函数控制器,分别用于实现稳态吸引子的位置控制和形状控制,其中混沌吸引子的位置由分段函数的间隔控制,混沌吸引子的形状由系统参数或正弦函数控制.这两种控制器简单可行,易于实现.最后,通过复Lorenz混沌系统和一个物理实例Duffing振子仿真实验验证了所提出控制器的有效性.The multistability of chaotic systems is complex and unexpected,which has attracted great attention.There is no effective method to control the steady-state of chaotic system.Chaotic attractor is a typical dynamic characteristic of complex chaotic system.The main goal of this paper is to select an appropriate control method to make the complex chaotic system obtain the desired steady-state attractor in the predetermined position range.This paper aims at the steadystate control of complex chaotic systems,piecewise function controller and proportional sinusoidal function controller are proposed to realize the position control and shape control of steady-state attractor,respectively.The position of the chaotic attractor is controlled by the interval of the piecewise function,and the shape of the chaotic attractor is controlled by system parameters or sinusoidal function.The two controllers are simple,feasible and easy to implement.Finally,the effectiveness of the proposed controller is verified by simulation experiments of the complex Lorenz chaotic system and a physical example of the Duffing oscillator.

关 键 词：复混沌系统 吸引子 位置控制 形状控制 稳态控制 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]