Fractional-Order Control for a Novel Chaotic System Without Equilibrium

作     者：Shuyi Shao Mou Chen 

作者机构：the College of Automation EngineeringNanjing University of Aeronautics and AstronauticsNanjing 211106China IEEE 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2019年第6卷第4期

页      面：1000-1009页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

基　　金：supported by the National Natural Science Foundation of China(61573184) Jiangsu Natural Science Foundation of China(SBK20130033) Six Talents Peak Project of Jiangsu Province(2012-XXRJ-010) Fundamental Research Funds for the Central Universities(NE2016101) 

主　　题：Chaotic system circuit implementation fractional-order stabilization 

摘      要：The control problem is discussed for a chaotic system without equilibrium in this *** the basis of the linear mathematical model of the two-wheeled self-balancing robot,a novel chaotic system which has no equilibrium is *** basic dynamical properties of this new system are studied via Lyapunov exponents and Poincar′e *** further demonstrate the physical realizability of the presented novel chaotic system,a chaotic circuit is *** using fractional-order operators,a controller is designed based on the state-feedback *** to the Gronwall inequality,Laplace transform and Mittag-Leffler function,a new control scheme is explored for the whole closed-loop *** the developed control scheme,the state variables of the closed-loop system are controlled to stabilize them to ***,the numerical simulation results of the chaotic system with equilibrium and without equilibrium illustrate the effectiveness of the proposed control scheme.