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Chaos control in delayed chaotic systems via sliding mode based delayed feedback

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  • Vasegh, Nastaran
  • Sedigh, Ali Khaki

Abstract

This paper investigates chaos control for scalar delayed chaotic systems using sliding mode control strategy. Sliding surface design is based on delayed feedback controller. It is shown that the proposed controller can achieve stability for an arbitrary unstable fixed point (UPF) or unstable periodic orbit (UPO) with arbitrary period. The chaotic system used in this study to illustrate the theoretical concepts is the well known Mackey–Glass model. Simulation results show the effectiveness of the designed nonlinear sliding mode controller.

Suggested Citation

  • Vasegh, Nastaran & Sedigh, Ali Khaki, 2009. "Chaos control in delayed chaotic systems via sliding mode based delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 159-165.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:159-165
    DOI: 10.1016/j.chaos.2007.07.038
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    References listed on IDEAS

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    1. Nazzal, Jamal M. & Natsheh, Ammar N., 2007. "Chaos control using sliding-mode theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 695-702.
    2. Yau, Her-Terng & Yan, Jun-Juh, 2007. "Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1767-1776.
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