Control chaos to different stable states for a piecewise linear circuit system by a simple linear control

被引：15
|
作者：
Fu, Shihui [1 ]
Liu, Yuan [1 ]
Ma, Huizhen [1 ]
Du, Ying [2 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
[2] East China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 130卷
基金：
中国国家自然科学基金;
关键词：
Circuit system; Chaos control; Equilibrium manifold; Equilibrium point; Periodic orbit; Limit cycle; CHUAS CIRCUIT; FEEDBACK-CONTROL; N-SCROLL; BIFURCATION; ATTRACTORS; SYNCHRONIZATION; VAN;
D O I：
10.1016/j.chaos.2019.109431
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we mainly investigate chaos control of a piecewise linear circuit system. According to the characteristic of this system, we modify Hwang's linear continuous controller and obtain a more simple controller consisting of two parts, by which we find from theory the extent of control parameter when chaotic motion is controlled to equilibrium manifold, equilibrium point, periodic orbit or limit cycle. Numerical simulation also verifies the method is effective. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页数：8
相关论文
共 50 条
  • [41] DESIGN OF AN OPTIMAL-CONTROL SYSTEM WITH A PIECEWISE-LINEAR INPUT
    GABASOV, R
    GAO, SD
    KIRILLOVA, FM
    AUTOMATION AND REMOTE CONTROL, 1993, 54 (03) : 405 - 414
  • [42] Control Problem for a Piecewise Linear System with Uncertainties Based on Measurement Results
    K. S. Mayantsev
    P. A. Tochilin
    Differential Equations, 2021, 57 : 1481 - 1494
  • [43] Robust Control of Piecewise Linear Switched System with Constrained Input and Ellipsoid
    Liu, Zhilin
    Yuan, Xin
    Zhang, Jun
    Su, Li
    PROCEEDINGS OF 2016 CHINESE INTELLIGENT SYSTEMS CONFERENCE, VOL I, 2016, 404 : 65 - 77
  • [44] PIECEWISE LINEAR CONTROL OF NONLINEAR SYSTEMS.
    Oaks Jr., Orville Jay
    Cook, Gerald
    IEEE Transactions on Industrial Electronics, 1976, IECI-23 (01): : 56 - 63
  • [45] Piecewise linear fuzzy sliding mode control
    Dotoli, M
    Turchiano, B
    FUZZY LOGIC AND APPLICATIONS, 2006, 2955 : 89 - 96
  • [46] AN APPROACH TO IDENTIFICATION OF PIECEWISE LINEAR CONTROL SYSTEMS
    BHATTACHARYA, BP
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (01) : 131 - +
  • [47] Piecewise linear models in model predictive control
    Figueroa, JL
    LATIN AMERICAN APPLIED RESEARCH, 2001, 31 (04) : 309 - 315
  • [48] STRUCTURE AND CONTROL OF PIECEWISE-LINEAR SYSTEMS
    BANKS, SP
    KHATHUR, SA
    INTERNATIONAL JOURNAL OF CONTROL, 1989, 50 (02) : 667 - 686
  • [49] Piecewise linear control systems - A computational approach
    Johansson, M
    PIECEWISE LINEAR CONTROL SYSTEMS: A COMPUTATIONAL APPROACH, 2003, 284 : 1 - 202
  • [50] Piecewise Linear Networks (PLN) for process control
    Eppler, W
    2001 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-5: E-SYSTEMS AND E-MAN FOR CYBERNETICS IN CYBERSPACE, 2002, : 129 - 133
12345