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Control and synchronization of chaos with sliding mode control based on cubic reaching rule

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  • Kocamaz, Uğur Erkin
  • Cevher, Barış
  • Uyaroğlu, Yılmaz

Abstract

In this study, a new reaching rule in the Sliding Mode Control (SMC) is proposed for chaos control and synchronization. It is applied on the nonlinear Chua's circuit. The SMC signals are provided with the Lyapunov stability theory. Classical, cubic and partial cubic variants of SMC signals are constructed. Numerical simulations are performed to compare the effectiveness of the SMC signals and the results are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:105:y:2017:i:c:p:92-98
    DOI: 10.1016/j.chaos.2017.10.008
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