基于高阶控制障碍函数的PMSM转速约束RBF自适应控制
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1.兰州理工大学机电工程学院;2.北京航空航天大学工程实践与创新中心;3.上海航天控制技术研究所

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TP273

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国家自然科学基金:52365057; 甘肃省科技重大专项:23ZDGE002; 浙江省温州市科技计划项目:G2023045


PMSM Speed-Constrained RBF Adaptive Control Based on High-Order Control Barrier Function
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National Natural Science Foundation of China(52365057);Gansu Provincial Science and Technology Major Project (23ZDGE002) ; Wenzhou Science and Technology Program (G2023045)

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    摘要:

    针对传统径向基神经网络(RBFN)中权重自适应律依赖持续激励(PE)条件、易出现停滞与漂移的问题,以及高阶控制障碍函数(HOCBF)在永磁同步电机(PMSM)转速约束中因高增益与多次微分引发的抖振问题,以PMSM位置控制系统为研究对象,提出了一种结合新型权重自适应律与动态补偿式高阶控制障碍函数的转速约束控制策略。首先,设计了一种基于历史误差与当前误差的神经网络权重自适应律,该自适应律利用误差的历史信息构造校正项,能够在激励不足时维持参数学习动态,避免权重更新停滞,同时抑制因逼近误差累积导致的权重漂移。其次,针对转速约束抖振问题,提出一种带补偿机制的高阶控制障碍函数,通过“低增益约束+边界动态补偿”的设计,先以较低增益将转速初步约束于保守边界内以抑制抖振,再通过补偿机制将约束边界平滑调节至期望值,从而在保证约束效果的同时有效解决高增益与微分放大引起的约束边界抖振问题。此外,利用李雅普诺夫稳定性理论对系统稳定性进行了详细的分析,证明了系统一致最终有界(UUB)。最后,通过实验验证了所提方法的有效性。结果表明,该方法能有效解决传统神经网络权重学习的停滞与漂移问题,同时实现了对电机转速的平滑、无抖振约束,在提升系统控制精度的基础上,显著增强了其安全性与动态性能。

    Abstract:

    To address the issues of weight update stagnation and drift in traditional radial basis function networks(RBFN) caused by the reliance of weight adaptive laws on the persistent excitation (PE) condition, as well as the boundary chattering phenomenon in permanent magnet synchronous motor(PMSM) speed constraint induced by high gains and repeated differentiation in high-order control barrier functions(HOCBF), a constraint control strategy combining a novel weight adaptive law and a dynamic compensation-based HOCBF is proposed for the PMSM position control system. First, a neural network weight composite-adaptation law based on both historical and current errors is designed. By utilizing historical error information to construct a correction term, this law maintains parameter learning dynamics under insufficient excitation, thereby avoiding weight update stagnation and suppressing adaptable weight drift caused by accumulated approximation errors. Second, addressing the speed constraint chattering, a dynamic compensation-based HOCBF is proposed. Adopting a design of "low-gain constraint plus dynamic boundary compensation," this method initially confines speed states within a conservative boundary using lower gains to mitigate chattering. Subsequently, the compensation mechanism smoothly adjusts the constraint boundary to the desired value, thereby effectively resolving boundary chattering caused by high gains and differential amplification while ensuring constraint effectiveness. Furthermore, the system stability is analyzed in detail using lyapunov stability theory, proving that the system is uniformly ultimately bounded(UUB). Finally, the effectiveness of the proposed method is verified through experiments. The results demonstrate that this method effectively solves the stagnation and drift problems in traditional neural network weight learning and achieves smooth, chatter-free chatter-free speed constraint, significantly enhancing the safety and dynamic performance of the system while improving control accuracy.

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  • 收稿日期:2026-01-24
  • 最后修改日期:2026-07-10
  • 录用日期:2026-07-13
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