Robust position control of PMSM using fractional-order sliding mode controller.

*(English)*Zbl 1256.93053Summary: A new robust fractional-order sliding mode controller (FOSMC) is proposed for the position control of a permanent magnet synchronous motor (PMSM). The sliding mode controller (SMC), which is insensitive to uncertainties and load disturbances, is studied widely in the application of PMSM drive. In the existing SMC method, the sliding surface is usually designed based on the integer-order integration or differentiation of the state variables, while in this proposed robust FOSMC algorithm, the sliding surface is designed based on the fractional-order calculus of the state variables. In fact, the conventional SMC method can be seen as a special case of the proposed FOSMC method. The performance and robustness of the proposed method are analyzed and tested for nonlinear load torque disturbances, and simulation results show that the proposed algorithm is more robust and effective than the conventional SMC method.

##### MSC:

93C10 | Nonlinear systems in control theory |

34A08 | Fractional ordinary differential equations |

93D09 | Robust stability |

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\textit{J. Huang} et al., Abstr. Appl. Anal. 2012, Article ID 512703, 33 p. (2012; Zbl 1256.93053)

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