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Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control

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  • Yau, Her-Terng
  • Yan, Jun-Juh

Abstract

A sliding mode control is designed to stabilize the well-known hyperchaos of Rössler system to equilibrium points subject to sector nonlinear input. The proposed control law is robust against both the input nonlinearity and external disturbance. The error bound can be arbitrarily set by assigning the corresponding dynamics to the sliding surfaces when the desired state is not an equilibrium point. Simulation results show that the system state can be regulated to an equilibrium point in the state space. It is also seen that the system still possesses advantage of fast response and good transient performance even though the control input is nonlinear.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1767-1776
    DOI: 10.1016/j.chaos.2006.03.016
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    References listed on IDEAS

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    1. Laval, L. & M'Sirdi, N.K., 2002. "RETRACTED: Controlling chaotic and hyperchaotic systems via energy regulation," Chaos, Solitons & Fractals, Elsevier, vol. 14(7), pages 1015-1025.
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    Cited by:

    1. 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.

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