Identification and control of a particular class of chaotic systems
Herve Dedieu, MACIEJ J. OGORZAŁEK · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1995
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.