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基于小增益技术的电静液作动器自适应控制

马嘉华1,李丰驰1,谢彦2,邢雪岩3,姚志凯1,姚建勇1   

  1. 1. 南京理工大学
    2. 航空工业第一飞机设计研究院
    3. 北京航空航天大学
  • 收稿日期:2026-04-27 修回日期:2026-06-17 出版日期:2026-07-16 发布日期:2026-07-16
  • 通讯作者: 姚建勇
  • 基金资助:
    国家重点研发计划;国家自然科学基金;江苏省自然科学基金;江苏省前沿引领技术基础研究专项

Adaptive control of electro-hydrostatic actuators via small-gain technique

  • Received:2026-04-27 Revised:2026-06-17 Online:2026-07-16 Published:2026-07-16
  • Contact: Yao Jianyong

摘要: 电静液作动器具有集成度高、功重比大等优势,是新一代航空航天机载作动系统的重要发展方向。然而,其固有的高阶非线性、模型不确定性及外部扰动给高精度位置跟踪控制带来了挑战。针对上述问题,本文提出一种基于小增益技术的自适应控制方法。首先,在反步控制框架下,利用神经网络范式表达描述系统未建模动态,将未知非线性项转化为范数约束形式。其次,结合小增益技术设计最小学习参数自适应律,仅需在线估计神经网络权重的范数相关信息,避免了传统自适应神经网络控制中复杂的矩阵权值更新。同时,该自适应律能够根据系统实时跟踪误差动态调整不确定性补偿强度,在保证系统鲁棒性的同时,缓解高增益反馈可能引起的传感器噪声放大问题。随后,基于输入-状态稳定性原理和小增益理论,证明了闭环系统所有信号的一致最终有界性。最后,利用EHA实验平台开展对比验证。实验结果表明,在不同期望轨迹工况下,与传统比例-积分控制器相比,所提控制方法的最大跟踪误差分别降低55%、44%和61%,验证了该方法在EHA高精度位置跟踪控制中的有效性。

关键词: 电静液作动器, 小增益技术, 自适应控制, 运动控制, 神经网络

Abstract: Electro-hydrostatic actuators have the advantages of high integration and high power-to-weight ratio, and are an important develop-ment direction for a new generation of aerospace onboard actuation systems. However, their inherent high-order nonlinearity, model uncertainty, and external disturbances bring challenges to high-precision position tracking control. To address the above problems, this paper proposes an adaptive control method based on the small-gain technique. First, under the backstepping control framework, the neural network canonical representation is used to describe the unmodeled dynamics of the system, and the unknown nonlinear terms are transformed into a norm-constrained form. Second, combined with the small-gain technique, a minimal learning parameter adaptive law is designed, which only needs to estimate the norm-related information of the neural network weights online, avoiding the complex matrix weight updating in traditional adaptive neural network control. Meanwhile, the adaptive law can dynamically adjust the uncertainty compensation strength according to the real-time tracking error of the system. While ensuring the robustness of the system, it alleviates the sensor noise amplification problem that may be caused by high-gain feedback. Then, based on the input-to-state stability principle and the small-gain theory, the uniform ultimate boundedness of all signals in the closed-loop system is proved. Finally, comparative verification is carried out on an EHA experimental platform. The experimental results show that, under different desired trajectory conditions, compared with the traditional proportional-integral controller, the maximum tracking errors of the proposed control method are reduced by 55%, 44%, and 61%, respectively, which verifies the effectiveness of the proposed method in high-precision position tracking control of EHA.

Key words: electro-hydrostatic actuator, small-gain technique, adaptive control, motion control, neural network

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