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Article Dans Une Revue IEEE Transactions on Circuits and Systems I: Regular Papers Année : 2007

Adaptive tracking control of chaotic systems with applications to synchronization

Résumé

We address the problem of controlled synchronization of a class of uncertain chaotic systems. Our approach follows techniques of adaptive tracking control and identification of dynamic systems from recent developments of control theory. In particular, we use new notions of the so-called property of persistency of excitation - known to be sufficient and necessary for parameter estimation - to construct adaptive algorithms that ensure perfect tracking/synchronization and parameter estimation of chaotic systems with parameter uncertainty. Our theoretical findings are supported by particular examples and simulation studies on systems such as the Lorenz and Rossler oscillators and the Duffing equation.

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Automatique
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Dates et versions

hal-00687388 , version 1 (13-04-2012)

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Antonio Loria, Arturo Zavala. Adaptive tracking control of chaotic systems with applications to synchronization. IEEE Transactions on Circuits and Systems I: Regular Papers, 2007, 54 (9), pp.2019-2030. ⟨10.1109/TCSI.2007.904682⟩. ⟨hal-00687388⟩
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