基于准零刚度隔振器的自适应模糊控制
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国家自然科学基金资助项目(11832005)


Adaptive Fuzzy Control Based on Quasi-zero Stiffness Vibration Isolator
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    摘要:

    准零刚度隔振器兼具高承载力和低固有频率,对于隔离地面的振动具有良好的效果.但准零刚度隔振器在平衡位置处刚度较低,这会使负载对低频的直接扰动力具有很强的敏感性并且隔振器的工作位置很容易出现偏差;其次,准零刚度隔振器的负载受到的扰动越大则表现出的非线性越强,这种非线性又会导致振幅放大和幅值跳跃.针对以上问题,提出了一种基于非线性准零刚度隔振器的自适应模糊控制方法,该方法在天棚阻尼的基础上增加了位置反馈量,并以负载的振动频率作为自适应系数,以Sigmoid函数建立自适应系数和振动频率之间的关系,控制方法采用模糊控制.首先建立了准零刚度隔振器的物理模型,之后利用Matlab/Simulink对系统动力学特性和控制系统进行仿真,最后搭建了主动隔振试验系统对所提方法的有效性进行验证.结果表明,所提方法对于作用在负载上的复杂且时变的直接扰动具有良好的抑制效果,同时对负载具有精准定位的作用.

    Abstract:

    Quasi-zero stiffness(QZS)isolator has both high bearing capacity and low natural frequency, and has a good effect on isolating ground vibration. However, the stiffness of the QZS isolator is low at the balance position, which makes the load highly sensitive to the direct disturbing force of low frequency, and the working position of the isolator is easy to deviate. Secondly, the greater the disturbance of the load of the QZS isolator, the stronger the nonlinearity. This nonlinearity will lead to amplitude amplification and amplitude jump. To solve the above problems, an adaptive fuzzy control method based on nonlinear QZS isolator is proposed. This method adds position feedback on the basis of sky-hook, takes the vibration frequency of the load as the adaptive coefficient, and establishes the relationship between the adaptive coefficient and the vibration frequency with the sigmoid function. Firstly, the physical model of the QZS isolator is established, and then the system dynamic characteristics and control system are simulated by Matlab / Simulink. Finally, an active vibration isolation test system is built to verify the effectiveness of the proposed method. The results show that the proposed method has a good inhibitory effect on the complex and time-varying direct disturbance acting on the load, and can accurately locate the load.

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周春燕,赵彪.基于准零刚度隔振器的自适应模糊控制[J].动力学与控制学报,2023,21(9):74~82; Zhou Chunyan, Zhao Biao. Adaptive Fuzzy Control Based on Quasi-zero Stiffness Vibration Isolator[J]. Journal of Dynamics and Control,2023,21(9):74-82.

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  • 收稿日期:2022-05-27
  • 最后修改日期:2022-07-08
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  • 在线发布日期: 2023-10-23
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