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Arbitrary observer scaling of all chaotic drive system states via a scalar synchronizing signal

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  • Grassi, Giuseppe
  • Miller, Damon A.

Abstract

This paper introduces a straightforward method to arbitrarily scale a drive system attractor using a synchronized linear observer. This scaling is controlled by a single observer parameter. Theoretical and simulation results for both continuous- and discrete-time systems demonstrate that linear observers can duplicate all chaotic system states in any desired scale using only a scalar synchronizing signal.

Suggested Citation

  • Grassi, Giuseppe & Miller, Damon A., 2009. "Arbitrary observer scaling of all chaotic drive system states via a scalar synchronizing signal," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1246-1252.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1246-1252
    DOI: 10.1016/j.chaos.2007.06.002
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    References listed on IDEAS

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    1. Wen, Guilin & Xu, Daolin, 2005. "Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 71-77.
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