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Chaos synchronization of gyroscopes using an adaptive robust finite-time controller

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Abstract

The problem of robust finite-time chaos synchronization between two chaotic nonlinear gyroscopes with model uncertainties, external disturbances and unknown parameters is investigated. Appropriate adaptive laws are derived to tackle the unknown parameters. Based on the adaptive laws and the finite-time control technique, suitable adaptive control laws are designed to ensure the stability of the resulting synchronization error system in a given finite time. Numerical simulations and comparative examples are presented to illustrate the applicability and usefulness of the proposed finite-time control strategy.

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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

Authors
  1. Mohammad Pourmahmood Aghababa
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  2. Hasan Pourmahmood Aghababa
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Corresponding author

Correspondence to Mohammad Pourmahmood Aghababa.

Additional information

Recommended by Associate Editor Yang Shi

Mohammad Pourmahmood Aghababa received his B.S. in Biomedical Engineering from Isfahan University in 2005, and his M.S. and Ph.D. degrees both in Control Engineering from the University of Tabriz in 2007 and 2011, respectively. He is currently an Assistant Professor in the Department of Electrical Engineering of the Urmia University of Technology, Urmia, Iran. His research interests include nonlinear control, fractional calculus, and artificial intelligence.

Hasan Pourmahmood Aghababa received his B.S. in Pure Mathematics from Azad University (Tabriz Branch) in 2004, his M.S. in Pure Mathematics from the Sharif University of Technology in 2006, and his Ph.D. in Mathematical Analysis from Tarbiat Moallem University in 2010. He is currently an Assistant Professor in the Department of Mathematical Science of the University of Tabriz, Tabriz, Iran. His research interests include harmonic analysis, nonlinear control and fractional calculus.

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Aghababa, M.P., Aghababa, H.P. Chaos synchronization of gyroscopes using an adaptive robust finite-time controller. J Mech Sci Technol 27, 909–916 (2013). https://doi.org/10.1007/s12206-013-0106-y

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  • DOI: https://doi.org/10.1007/s12206-013-0106-y

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