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Novel Flexible Sliding Mode Control for Projective Synchronization of Mismatched Time-Delayed Fractional-Order Nonlinear Systems with Unknown Parameters and Disturbances

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Abstract

In this paper, the problem of projective synchronization between time-delayed fractional-order nonlinear systems with mismatched fractional orders, non-identical time-delays, unknown parameters and external disturbances is investigated. To solve this problem, a time-delayed fractional-order integral sliding surface is firstly introduced. Then, based on the fractional-order Lyapunov stability analysis and sliding mode control strategy, a novel flexible robust control scheme which includes the compensation controller, the sliding mode controller and the adaptive controller is derived that ensures the projective synchronization error dynamical system operates in the sliding mode. Furthermore, the necessary conditions for the error dynamics to be globally asymptotically stable in the sliding mode are determined. Finally, the validity of the achieved theoretical results is verified by a numerical example. The advantages of the proposed control scheme in comparison with previous approaches are also shown.

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Authors and Affiliations

  1. Department of Electrical Engineering, Faculty of Engineering, Vali-e-Asr University of Rafsanjan, 7718897111, Rafsanjan, Iran

    Susan Razmara, Meisam Yahyazadeh & Hassan Fatehi Marj

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  1. Susan Razmara
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  2. Meisam Yahyazadeh
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  3. Hassan Fatehi Marj
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Correspondence to Meisam Yahyazadeh.

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Razmara, S., Yahyazadeh, M. & Marj, H.F. Novel Flexible Sliding Mode Control for Projective Synchronization of Mismatched Time-Delayed Fractional-Order Nonlinear Systems with Unknown Parameters and Disturbances. Iran J Sci Technol Trans Electr Eng 45, 553–571 (2021). https://doi.org/10.1007/s40998-020-00386-6

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  • DOI: https://doi.org/10.1007/s40998-020-00386-6

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