The Design of Fractional-order Predictive Functional Controller for Magnetic Levitation System

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BIGDELI N.; Sanatizadeh M.

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Paper Information

Journal: Journal of Aerospace Mechanics Year:2021 | Volume:16 | Issue:4 (62) Page(s): 1-12

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Title

The Design of Fractional-order Predictive Functional Controller for Magnetic Levitation System

Author(s)

BIGDELI N. | Sanatizadeh M. | Issue Writer Certificate

Keywords

Magnetic levitation systemQ1

unstable systemQ1

Predictive functional controllerQ1

Fractional order controllerQ1

Abstract

Magnetic levitation systems (Maglev) are widely used in various industries. Open loop Maglev system is highly nonlinear and unstable. Therefore, designing a simple, but effective controller for such a system is a challenging problem. In this paper, a fractional order Predictive functional controller (FPFC) is proposed for control of Magnetic levitation system based on its linearized unstable model. At first, the unstable plant is decomposed into two stable models. Then, using these two stable models and employing fractional order cost function, the PFC controller is designed. Because of more degrees of freedom and its flexibility of fractional order calculus, the proposed fractional PFC would improve the performance of closed loop system, noticeably. Robust stability of closed-loop system has been also studied considering the uncertainties and model mismatches via small gain theorem. Simulation results show good performance of the proposed controller in nominal and perturbed conditions. Based on provided simulations, via the proposed controller, overshoot has been omitted and performance indices have been improved more than 50% with respect to first and second order of freedom integer/fractional order PID controllers, designed for this system, in the literature.

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APA: Copy

BIGDELI, N., & Sanatizadeh, M.. (2021). The Design of Fractional-order Predictive Functional Controller for Magnetic Levitation System. AEROSPACE MECHANICS JOURNAL, 16(4 (62) ), 1-12. SID. https://sid.ir/paper/370935/en

Vancouver: Copy

BIGDELI N., Sanatizadeh M.. The Design of Fractional-order Predictive Functional Controller for Magnetic Levitation System. AEROSPACE MECHANICS JOURNAL[Internet]. 2021;16(4 (62) ):1-12. Available from: https://sid.ir/paper/370935/en

IEEE: Copy

N. BIGDELI, and M. Sanatizadeh, “The Design of Fractional-order Predictive Functional Controller for Magnetic Levitation System,” AEROSPACE MECHANICS JOURNAL, vol. 16, no. 4 (62) , pp. 1–12, 2021, [Online]. Available: https://sid.ir/paper/370935/en

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