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A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs

Nonlinear Dynamics volume 69, pages 1903–1914 (2012)Cite this article

Abstract

In this paper, the problem of finite-time chaos synchronization between two different uncertain chaotic systems with unknown parameters and input nonlinearities is investigated. It is assumed that both master and slave systems are perturbed by unknown model uncertainties, external disturbances, and fully unknown parameters. Proper update laws are proposed to estimate the systems’ unknown parameters. Based on the update laws and finite-time control technique, a robust adaptive controller is introduced to guarantee the convergence of the slave system trajectories to the trajectories of the master system in a given finite time. Two illustrative examples are presented to illustrate the effectiveness and applicability of the proposed finite-time controller and to validate the theoretical results of the paper.

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Authors and Affiliations

  1. Electrical Engineering Department, Urmia University of Technology, Urmia, Iran

    Mohammad Pourmahmood Aghababa

  2. Department of Mathematics, University of Tabriz, Tabriz, Iran

    Hasan Pourmahmood Aghababa

  3. Research Center for Industrial Mathematics, University of Tabriz, Tabriz, Iran

    Hasan Pourmahmood Aghababa

Authors
  1. Mohammad Pourmahmood Aghababa
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  2. Hasan Pourmahmood Aghababa
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Correspondence to Mohammad Pourmahmood Aghababa.

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Aghababa, M.P., Aghababa, H.P. A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs. Nonlinear Dyn 69, 1903–1914 (2012). https://doi.org/10.1007/s11071-012-0395-1

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  • DOI: https://doi.org/10.1007/s11071-012-0395-1

Keywords

  • Chaos synchronization
  • Finite-time control
  • Nonlinear control
  • Unknown parameter
  • Robust adaptive controller