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

M di Bernardo

Research output: Working paperWorking 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 languageEnglish
DOIs
Publication statusPublished - 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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