Chaos control in the uncertain Duffing oscillator

A robust control scheme is developed for the well-known chaotic Duffing equation subject to uncertainties. Based on Lyapunov stability theory, sufficient conditions for tracking a smooth periodic orbit have been analyzed theoretically and numerically. The robust feedback control law is composed of a...

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Veröffentlicht in:Journal of sound and vibration 2006-05, Vol.292 (3), p.869-880
Hauptverfasser: Bowong, Samuel, Moukam Kakmeni, F.M., Dimi, Jean Luc
Format: Artikel
Sprache:eng
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Zusammenfassung:A robust control scheme is developed for the well-known chaotic Duffing equation subject to uncertainties. Based on Lyapunov stability theory, sufficient conditions for tracking a smooth periodic orbit have been analyzed theoretically and numerically. The robust feedback control law is composed of a dynamic compensator and a linearizing control law including estimation of uncertainties. The control time is explicitly computed. Simulation results are presented to verify the validity of the proposed scheme.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2005.09.009