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Adaptive synchronization of chaotic systems with unknown bounded uncertainties via backstepping approach

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Abstract

Backstepping design is proposed for adaptive synchronization of a class of chaotic systems with unknown bounded uncertainties. An adaptive backstepping control law is derived to make the error signals between the master and slave systems asymptotically synchronized without knowing the upper-bounds of the uncertainties in advance. The stability analysis is proved by using a well-known Lyapunov stability. Two illustrative examples are presented to show the effectiveness of the proposed adaptive chaos synchronization.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Laboratory of Applied Mathematics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon

    Samuel Bowong

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  1. Samuel Bowong
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Correspondence to Samuel Bowong.

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Bowong, S. Adaptive synchronization of chaotic systems with unknown bounded uncertainties via backstepping approach. Nonlinear Dyn 49, 59–70 (2007). https://doi.org/10.1007/s11071-006-9103-3

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  • DOI: https://doi.org/10.1007/s11071-006-9103-3

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