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A study of PMSM control based on a composite variable order integral sliding mode controller. (Chinese. English summary) Zbl 1324.93026

Summary: Based on the mathematical model and state equation of the Permanent Magnet Synchronous Motor (PMSM), a composite nonlinear integral sliding surface which contains integer order and fractional order integral is proposed, and the corresponding sliding mode controller is designed in order to improve the dynamic performance and robustness of the PMSM position control system. The order of the fractional integral term is obtained by fuzzy inference. In order to improve the robustness to load disturbance and eliminate the system chattering, the fractional order integral to the sliding surface is considered as a feed forward compensation in the control output. The stability of the proposed method is proved by using the Lyapunov stability theory. The control model is established and the numerical simulation is done. Simulation results show the performance and robustness of the proposed method.

MSC:

93B12 Variable structure systems
93C10 Nonlinear systems in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
78A55 Technical applications of optics and electromagnetic theory
34A08 Fractional ordinary differential equations
26A33 Fractional derivatives and integrals
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