An adaptive approach to the control and synchronization of continuous-time chaotic systems

M di Bernardo

doi:10.1142/S0218127496000254

An adaptive approach to the control and synchronization of continuous-time chaotic systems

M di Bernardo

Research output: Working paper › Working paper and Preprints

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Abstract

This paper is concerned with synchronization and control of chaotic nonlinear dynamical systems. First, a unified frame for both the synchronization and the control problem is described. Then by modifying a feedback plus feedforward controller, a discontinuous strategy is synthesized which exploits the boundedness of chaotic attractors and limit cycles. Finally, an adaptive approach is investiagted and an adaptive estimation law is implemented. The result, which is both global and not reliant on complete knowledge of the systems involved, is rigorously proved by means of Lyapunov Theory. An application to the synchronization of two chaotic systems is presented

Original language	English
DOIs	https://doi.org/10.1142/S0218127496000254
Publication status	Published - 1995

Bibliographical note

Additional information: Preprint of a paper later published by World Scientific (1996), International Journal of Bifurcation and Chaos, 6(3), pp. 557-568, ISSN 0218-1274

Sponsorship: The author is grateful to the European Union for the financial support of his studies in England

Keywords

chaotic nonlinear dynamical systems
limit cycles
Lyapunov Theory
chaotic attractors
synchronization and control

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10.1142/S0218127496000254

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http://hdl.handle.net/1983/284

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abstract = "This paper is concerned with synchronization and control of chaotic nonlinear dynamical systems. First, a unified frame for both the synchronization and the control problem is described. Then by modifying a feedback plus feedforward controller, a discontinuous strategy is synthesized which exploits the boundedness of chaotic attractors and limit cycles. Finally, an adaptive approach is investiagted and an adaptive estimation law is implemented. The result, which is both global and not reliant on complete knowledge of the systems involved, is rigorously proved by means of Lyapunov Theory. An application to the synchronization of two chaotic systems is presented",

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