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T–S fuzzy predictive control for fractional order dynamical systems and its applications

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Abstract

In this paper, the fractional order dynamical systems are precisely reproduced based on T–S fuzzy model and the predictive control method is employed for T–S fuzzy fractional order dynamical systems. The proposed control technique is applied for synchronization of two identical and nonidentical with mismatched fractional derivatives of T–S fuzzy fractional order dynamical systems. Also their corresponding necessary conditions are derived to achieve the synchronization. Numerical simulations are demonstrated to validate the effectiveness of the proposed theoretical results.

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Acknowledgments

This work was supported by the University of Malaya HIR grant UM.C/625/1/HIR/MOHE/SC/13, Malaysia.

Conflict of interest

We declare that there is no conflict of interests regarding the publication of this article.

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Authors and Affiliations

  1. Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram, Dindigul, Tamil Nadu, India

    P. Balasubramaniam

  2. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia

    P. Muthukumar & K. Ratnavelu

Authors
  1. P. Muthukumar
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  2. P. Balasubramaniam
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  3. K. Ratnavelu
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Corresponding author

Correspondence to P. Balasubramaniam.

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Muthukumar, P., Balasubramaniam, P. & Ratnavelu, K. T–S fuzzy predictive control for fractional order dynamical systems and its applications. Nonlinear Dyn 86, 751–763 (2016). https://doi.org/10.1007/s11071-016-2919-6

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  • DOI: https://doi.org/10.1007/s11071-016-2919-6

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