Abstract
This study proposes a novel model-free intelligent proportional-integral supertwisting nonlinear fractional-order sliding mode control (MF-iPI-ST-NLFOSMC) strategy for permanent magnet synchronous motor (PMSM) speed regulation system. First of all, a model independent intelligent proportional-integral (iPI) control strategy is adopted for the motor speed regulation system. Next, a novel model-free supertwisting nonlinear fractional-order sliding mode control (ST-NLFOSMC) strategy is constructed based on the ultralocal model of PMSM. Meanwhile, a linear extended state observer (LESO) is used to estimate the unknown terms of the ultralocal model. Then, this study presents the novel hybrid MF-iPI-ST-NLFOSMC strategy which integrates the model-free ST-NLFOSMC strategy, the model-free iPI control strategy, and the LESO. Moreover, the stability of the proposed hybrid MF-iPI-ST-NLFOSMC strategy is proved by the Lyapunov stability theorem and fractional-order theory. Finally, the simulations and comparison results verify that the hybrid MF-iPI-ST-NLFOSMC strategy proposed in this paper has better performance than the other model-free controllers in terms of the static characteristic, dynamic characteristic, and robustness.
Highlights
A permanent magnet synchronous motor (PMSM) has the advantages of simple structure, small size, high efficiency, and high power factor, which has been widely used in many industrial applications [1,2,3,4].By using a PMSM mathematical model, many prior scholars have designed various advanced controllers for the speed system of PMSM efficiently, examples of such algorithms include model predictive control [5], finite-time feedback control [6], adaptive control [7, 8], and H-infinite control [9]
We presented the nonlinear fractional-order sliding mode controller (NLFOSMC), which can effectively settle the abovementioned issues [36,37,38]
In order to overcome the above difficulties, inspired by the above studies and our previous researches [36,37,38], a novel model-free intelligent proportional-integral supertwisting nonlinear fractional-order sliding mode control (MF-iPI-ST-NLFOSMC) strategy is proposed for the PMSM speed regulation system in this study. e proposed control strategy is based on the ultralocal model of the PMSM. e unknown uncertain dynamics of the ultralocal model is estimated by an linear extended state observer (LESO). e novel hybrid MF-iPI-STNLFOSMC strategy is proposed in this paper which integrates the ST-NLFOSMC strategy, the model-free iPI control strategy, and the LESO
Summary
A permanent magnet synchronous motor (PMSM) has the advantages of simple structure, small size, high efficiency, and high power factor, which has been widely used in many industrial applications [1,2,3,4]. Reference [22] introduces the sliding mode control (SMC) into the model-free iPI control strategy to overcome this main drawback. Is paper constructs a supertwisting nonlinear fractional-order sliding mode control (STNLFOSMC) strategy based on the NLFOSMC strategy and the ST structure. In order to overcome the above difficulties, inspired by the above studies and our previous researches [36,37,38], a novel model-free intelligent proportional-integral supertwisting nonlinear fractional-order sliding mode control (MF-iPI-ST-NLFOSMC) strategy is proposed for the PMSM speed regulation system in this study. E novel hybrid MF-iPI-STNLFOSMC strategy is proposed in this paper which integrates the ST-NLFOSMC strategy, the model-free iPI control strategy, and the LESO. (3) e simulations and comparison results verify that the proposed hybrid MF-iPI-ST-NLFOSMC strategy has better performance than the other model-free controllers in terms of the static characteristic, dynamic characteristic, and robustness. Where yr(t) and e(t) are the desired output and the tracking error, respectively
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