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

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  • Fu, Shihui
  • Liu, Yuan
  • Ma, Huizhen
  • Du, Ying

Abstract

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.

Suggested Citation

  • Fu, Shihui & Liu, Yuan & Ma, Huizhen & Du, Ying, 2020. "Control chaos to different stable states for a piecewise linear circuit system by a simple linear control," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303716
    DOI: 10.1016/j.chaos.2019.109431
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    References listed on IDEAS

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    1. Kocamaz, Uğur Erkin & Cevher, Barış & Uyaroğlu, Yılmaz, 2017. "Control and synchronization of chaos with sliding mode control based on cubic reaching rule," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 92-98.
    2. Gao, Richie, 2019. "A novel track control for Lorenz system with single state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 236-244.
    3. Zou, Yan-li & Zhu, Jie, 2006. "Controlling the chaotic n-scroll Chua’s circuit with two low pass filters," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 400-406.
    4. Yang, Jihua & Zhao, Liqin, 2015. "Bifurcation analysis and chaos control of the modified Chua’s circuit system," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 332-339.
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    Cited by:

    1. Zhou, Ling & You, Zhenzhen & Tang, Yun, 2021. "A new chaotic system with nested coexisting multiple attractors and riddled basins," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. Parvizian, Majid & Khandani, Khosro, 2021. "Hyperbolic observer design for a class of nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Fu, Shihui & Liu, Yuan, 2020. "Complex dynamical behavior of modified MLC circuit," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Ngamsa Tegnitsap, J.V. & Fotsin, H.B. & Megam Ngouonkadi, E.B., 2021. "Magnetic coupling based control of a chaotic circuit: Case of the van der Pol oscillator coupled to a linear circuit," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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