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Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer

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  • Rodríguez, A.
  • De León, J.
  • Fridman, L.

Abstract

The reduced-order synchronization problem of two chaotic systems (master–slave) with different dimension and relative degree is considered. A control scheme based on a high-order sliding-mode observer-identifier and a feedback state controller is proposed, where the trajectories of slave can be synchronized with a canonical projection of the master. Thus, the reduced-order synchronization is achieved in spite of master/slave mismatches. Simulation results are provided in order to illustrate the performance of the proposed synchronization scheme.

Suggested Citation

  • Rodríguez, A. & De León, J. & Fridman, L., 2009. "Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3219-3233.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:3219-3233
    DOI: 10.1016/j.chaos.2009.04.055
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    1. Carsten Schäfer & Michael G. Rosenblum & Jürgen Kurths & Hans-Henning Abel, 1998. "Heartbeat synchronized with ventilation," Nature, Nature, vol. 392(6673), pages 239-240, March.
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