基于自适应反步法的永磁同步电机单级位置伺服控制设计与分析
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福建省新能源发电与电能变换重点实验室(福州大学)福州350108

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TM341TH86

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国家科技重大专项(2025ZD1601000)项目资助


Design and analysis of single-stage position servo control for permanent magnet synchronous motors based on adaptive backstepping method
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Fujian Key Laboratory of New Energy Generation and Power Conversion (Fuzhou University), Fuzhou 350108, China

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    摘要:

    永磁同步电机(PMSM)伺服系统凭借其高功率密度、高效率与优异的控制性能,已成为高端装备与自动化领域的核心驱动部件。随着数控机床、工业机器人等应用向高速、高精度与高动态响应方向持续发展,对位置伺服系统的跟踪精度、响应速度与抗干扰能力提出了更为严苛的要求。“位置+电流”的单级比例-积分-微分(PID)位置伺服控制结构因位置响应迅速的优点而受到行业青睐,但其设计复杂,且系统参数不确定性、未建模动态等干扰因素严重制约了其在高端伺服领域的应用。为此,提出一种基于自适应反步法的单级位置伺服控制策略。首先,对位置伺服环进行自适应反步设计,基于位置闭环递推出虚拟速度给定;针对参数不确定与未建模干扰,设计自适应观测器,通过虚拟速度闭环递推出控制转矩的q轴电流给定,实现了位置环与速度环的一体化设计。在此基础上,构建完整的位置闭环模型,精确分析位置闭环的稳定性。最后,通过与PID单级位置控制策略进行仿真与实验对比,结果表明,所提控制策略在位置闭环稳态与动态误差方面均更小,对系统参数不确定性及未建模干扰具有更强的鲁棒性,为高端伺服系统的高性能控制提供了一种有效解决方案。

    Abstract:

    Permanent magnet synchronous motor (PMSM) servo systems have become a core driving component in high-end equipment and automation due to their high power density, high efficiency, and excellent control performance. As applications such as computer numerical control (CNC) machine tools and industrial robots advance toward higher speeds, precision, and dynamic response, more stringent requirements are imposed on position servo systems in terms of tracking accuracy, response speed, and disturbance rejection capability. The "position + current" single-stage proportional-integral-derivative (PID) position servo control structure is favored for its fast position response; however, its design complexity, combined with disturbances such as parameter uncertainties and unmodeled dynamics, limits its application in high-end servo domains. To address these challenges, this article proposes a single-stage position servo control strategy based on adaptive backstepping. First, an adaptive backstepping design is conducted for the position servo loop to derive a virtual velocity reference. An adaptive observer is then designed to compensate for parameter uncertainties and unmodeled disturbances, and the q-axis current reference for torque control is derived through the virtual velocity closed loop, achieving integrated position-velocity control. A complete position closed-loop model is subsequently constructed to accurately analyze stability. Finally, simulation and experimental comparisons with the PID-based single-stage position control demonstrate that the proposed strategy achieves smaller steady-state and dynamic position errors, as well as stronger robustness against parameter uncertainties and unmodeled disturbances, providing an effective solution for high-performance high-end servo systems.

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王金燕,周扬忠.基于自适应反步法的永磁同步电机单级位置伺服控制设计与分析[J].仪器仪表学报,2026,47(4):335-342

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  • 在线发布日期: 2026-06-08
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