基于实用稳定性的行波旋转超声电机鲁棒控制方法
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国家自然科学基金(62303219);中国博士后基金(2022M721599);江苏省自然科学基金(BK20230879)


Robust Control Method of Traveling Wave Rotary Ultrasonic Motor Based on Practical Stability
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    摘要:

    针对超声电机的复杂耦合、非线性和不确定性导致的控制效果差的问题,提出一种基于实用稳定性的行波旋转超声电机鲁棒控制方法。根据行波超声电机定转子结构和摩擦系统的动力学特性,构建行波旋转超声电机系统复杂非线性动力学模型,并通过泰勒展开对赫兹接触模型的复杂非线性和耦合进行简化,使其满足控制器设计的要求;讨论系统不确定性影响,并采用α综合表征系统不确定性,借此提出鲁棒控制器;仿真验证了所提出的控制设计的优越性。构建硬件在环的Simulink仿真实验平台,最终证实了控制器的优越性。实验结果表明:该控制方法是在模型的基础上逐级精心设计的,具有通用性,可解决所有行波超声电机的复杂不确定性。

    Abstract:

    Aiming at the problem of poor control effect caused by complex coupling, nonlinearity and uncertainty of ultrasonic motor, a robust control method of traveling wave rotary ultrasonic motor based on practical stability was proposed. According to the dynamic characteristics of the stator and rotor of the traveling wave ultrasonic motor and the friction system, a complex nonlinear dynamic model of the traveling wave ultrasonic motor system is constructed, and the complex nonlinearity and coupling of the Hertz contact model are simplified through Taylor expansion to meet the requirements of the controller design; The influence of system uncertainty is discussed, and α synthesis is used to characterize the system uncertainty, by which a robust controller is proposed. Simulation results demonstrate the superiority of the proposed control design. The hardware in the loop Simulink simulation experimental platform is constructed, and the superiority of the controller is finally confirmed. The experimental results show that the control method is carefully designed step by step based on the model, which is versatile and can solve the complex uncertainties of all traveling wave ultrasonic motors.

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刘卜溢.基于实用稳定性的行波旋转超声电机鲁棒控制方法[J].,2025,44(07).

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  • 收稿日期:2024-09-24
  • 最后修改日期:2024-10-25
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  • 在线发布日期: 2025-08-28
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