Abstract
In this article, a novel compound nonlinear state error feedback super-twisting fractional-order sliding mode control (NLSEF-STFOSMC) is proposed for the control of the permanent magnet synchronous motor (PMSM) speed regulation system. Firstly, a novel fractional-order proportion integration differentiation (FOPID) switching manifold is designed. A modified sliding mode control (SMC) is constructed by a super-twisting reaching law and the novel FOPID sliding surface. Secondly, the nonlinear state error feedback control law (NLSEF) has been widely used because of high control accuracy, fast convergence, and flexible operation. Therefore, combining the modified SMC with the NLSEF, the compound NLSEF-STFOSMC is proposed, which has an excellent performance. At the same time, the external disturbance of the system is observed by a novel extended state observer. Finally, the performance of the corresponding control law to the speed operation of the PMSM is fully investigated compared with other related algorithms to demonstrate the effectiveness. The comparison results show that the proposed compound control strategy has excellent dynamic and static performance and strong robustness.
Highlights
Motivated by the above discussion and our previous research [43], the main contributions of the proposed control method, which are novel in comparison to previous studies, are listed as follows: (1) A novel compound nonlinear state error feedback control law (NLSEF)-supertwisting fractional-order sliding mode control (STFOSMC) combining the advantages of the modified sliding mode control (SMC) and the NLSEF is proposed. e modified SMC uses a novel fractional-order proportion integration differentiation (FOPID) sliding surface to improve the control performance of the sliding mode stage. e proposed compound controller is analyzed and used for the permanent magnet synchronous motor (PMSM) speed regulation system
(3) Lyapunov approach and fractional calculus are used to show the stability of the novel compound NLSEFSTFOSMC
Work is study successfully presents a novel compound NLSEFSTFOSMC for the speed control of PMSM servo drive based on a novel extended state observer (ESO)
Summary
Definition 2 (see [21,22,23,24]). e conventional FOPID sliding surface was defined as s(t) Kpe(t) + KiD−t ue(t) + KdDεte(t),. According to (37), the control error of the proposed FOSMC can converge to a small neighborhood of zero, and the stable condition has been achieved. According to (42), the control error of the proposed STFOSMC can converge to a small neighborhood of zero, and the stable condition has been achieved. According to the continuous and derivable function (20), the derivative of the value of fnew(x, a, δ) has a boundary layer, which satisfies the following condition:. According to (47), the control error of the proposed compound NLSEF-STFOSMC can converge to a small neighborhood of zero, and the stable condition has been achieved
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