Identification and control of a particular class of chaotic systems

Herve Dedieu; Maciej J. Ogorzalek

doi:10.1117/12.227895

1 December 1995 Identification and control of a particular class of chaotic systems

Herve Dedieu, Maciej J. Ogorzalek

Proceedings Volume 2612, Chaotic Circuits for Communication; (1995) https://doi.org/10.1117/12.227895
Event: Photonics East '95, 1995, Philadelphia, PA, United States

Abstract

We show how it is possible to exploit a priori knowledge of the nonlinear dynamics of a system. Given a signal produced by a system, we first identify the parameters of the system and second we code sub-intervals of the signal into initial state-space points of the identified system. As a result of this method a whole waveform is coded as a sequence of points in state- space, a sequence of interval durations and a system of ordinary differential equations. We test these concepts on a challenging example in which the signal to be coded and compressed is produced by a chaotic oscillator.

Citation Download Citation

Herve Dedieu and Maciej J. Ogorzalek "Identification and control of a particular class of chaotic systems", Proc. SPIE 2612, Chaotic Circuits for Communication, (1 December 1995); https://doi.org/10.1117/12.227895

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