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Fractional-Order Adaptive Sliding Mode Control for Fractional-Order Buck-Boost Converters
Xie Lingling,Liu Zhipei,Ning Kangzhi,Qin Rui 대한전기학회 2022 Journal of Electrical Engineering & Technology Vol.17 No.3
In previous studies, the combination of fractional calculus (FC) and sliding-mode control (SMC) has been gaining more and more interest due to fusion characteristics of SMC and FC. But most study integer-order buck converters, and few study control strategies of fractional-order converters. In this paper, the sliding mode controller and fractional adaptive sliding mode controller for fractional-order buck-boost converters are proposed. An affi ne nonlinear system model of the fractionalorder buck-boost converter is built. Based on the diff erential geometry theory, the exact feedback linearization is performed on the affi ne nonlinear model of the fractional-order buck-boost converter. On this basis, a fractional adaptive sliding mode controller is designed by selecting a linear sliding surface and adaptive control law. The stability of the fractional controller is proved by the Mittag–Leffl er stability theorem. The simulation results show that the fractional adaptive sliding mode control has good dynamic response performance and small steady-stage error regulating characteristics. Compared with traditional sliding mode control and PI λ control, the control method demonstrates stronger robustness under various disturbances.
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