基于压电叠堆惯性作动器的随机振动控制研究 1)
STOCHASTIC VIBRATION CONTROL BASED ON PIEZOELECTRIC STACK INERTIAL ACTUATOR1)
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摘要: 本文主要研究了基于压电叠堆惯性作动器的随机振动控制方法并分析了控制力时滞对控制效果的影响规律。首先,对压电叠堆惯性作动器的动力学特性进行分析,建立了考虑惯性作动器动力学的主结构的随机动力学模型;接着,提出主结构随机振动 "线性"二次高斯控制(linear quadratic Gaussian,LQG)方法,并探讨了作动器惯性质量和刚度等对控制效果的影响规律;最后,研究了控制力时滞对控制效果的影响,并提出了利用时滞优化控制效果的方法。研究结果表明,压电叠堆惯性作动器对结构的随机振动具有较好的控制效果,当控制时滞时间\tau = 0.025s时控制效果可以得到进一步优化。Abstract: This paper presents a stochastic vibration control strategy based on a piezoelectric stack inertial actuator and investigates the influence of the time delay on the control effectiveness. Firstly, the dynamic characteristics of the piezoelectric stack inertial actuator are analyzed, and the stochastic dynamic model of the main structure with an inertia actuator is established. Then, the LQG (linear quadratic Gaussian) control strategy is proposed and the influences of the system parameters (such as the inertia mass and the stiffness of the actuator) on the control effectiveness are discussed. Finally, the time delay is considered in designing the control strategy and a method of using the time delay is proposed to optimize the control strategy. The results show that the piezoelectric stack inertial actuator is very effective for the random vibration control, and the control effectiveness can be further optimized when the time delay \tau=0.025s.
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