一类Sprott-O混沌系统的H_∞状态控制和自适应控制研究  

The Study of Adaptive Backstepping Control and H_∞ State Feedback Control on a Class of Sprott-O Chaotic System

作　　者：付景超[1] 周健博 孙敬[1] FU Jing-chao;ZHOU Jian-bo;SUN Jing(College of Sciences Northeast Dianli University,Jilin 132000 China)

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《数学的实践与认识》2019年第3期228-236,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金青年基金支持项目(11201057);吉林省自然科学基金支持项目(20130101065JC);吉林省教育厅"十二五"科学技术研究项目(2013429)

摘　　要：研究了一类Sprott-O混沌系统的H_∞状态反馈控制和自适应反推控制问题.首先,通过绘制系统的Lyapunov指数图、混沌吸引子图及参数变化时的分岔图等验证了系统在一定参数条件下具有的复杂混沌动力学行为;然后,分别应用H_∞状态反馈控制方法和自适应反推控制方法设计不同的控制器,对混沌系统加以控制;最后,通过数值仿真验证了所设计控制器的有效性.The problems of H∞ state feedback control and adaptive backstepping control for a class of Sprott-O chaotic system are studied in this paper. Firstly, equilibrium points are investigated and chaotic phenomenon of the system under some conditions is verified by plotting the waveform, phase diagram, bifurcation diagram and Lyapunov exponent. Then,H∞ state-feedback controller and an adaptive backstepping controller are designed to control the chaotic system respectively. Finally, the effectiveness of the designed controllers is verified by using numerical simulation.

关 键 词：Sprott-O混沌系统 状态反馈 自适应反推 LYAPUNOV指数 

分 类 号：O415.5[理学—理论物理]