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Synchronization of Chaotic Nonlinear Gyros Using Fractional Order Controller

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New Trends in Nanotechnology and Fractional Calculus Applications

Abstract

In this paper, a fractional sliding mode controller is proposed to synchronize chaotic fractional-order gyroscope systems in a master–slave structure. The dynamic has been controlled by a fractional controller in a fractional modelled dynamic gyro. A fuzzy control is applied to reduce the chattering phenomenon in the proposed sliding mode controller. A genetic algorithm identifies parameters of the fuzzy sliding mode controller. Numerical simulation verifies the significance of the proposed technique.

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Correspondence to Abolfazl Ranjbar .

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Delavari, H., Ghaderi, R., Ranjbar, A., Momani, S. (2010). Synchronization of Chaotic Nonlinear Gyros Using Fractional Order Controller. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_42

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  • DOI: https://doi.org/10.1007/978-90-481-3293-5_42

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