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 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 0022-460X 1095-8568 |
DOI: | 10.1016/j.jsv.2005.09.009 |