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三轴液压转台系统的核心是阀控马达伺服机构,由于其负载惯量大,固有频率较低,采用经典控制理论设计的控制系统难以获得满意的响应特性和控制精度。以转台外框为例建立了转台液压系统的数学模型,应用最优控制理论,获得了使线性二次型性能指标为极小的最优控制规律。数字仿真结果和以该控制规律为依据设计的数模混合控制器进行的试验结果均表明,最优控制规津不仅有效地改善了转台的稳定性,而且提高了转台的响应速度和控制精度。由于选用了无限时域的性能指标函数,获得的最优控制规律为一线性状态反馈,因此该方法在工程上容易实现,有实用价值。
The core of the three-axis hydraulic turntable system is a valve-controlled motor servo mechanism. Due to its large load inertia and low natural frequency, the control system designed by the classical control theory is difficult to obtain satisfactory response characteristics and control accuracy. Taking turntable outer frame as an example, the mathematical model of hydraulic system of turntable was established. By using the optimal control theory, the optimal control law was obtained to minimize the linear quadratic performance index. The results of numerical simulation and the experiments carried out by the digital-analog hybrid controller based on the control law show that the optimal control method not only effectively improves the stability of the turntable, but also improves the response speed and accuracy of the turntable. Due to the selection of the performance index function of infinite time domain, the optimal control law obtained is a linear state feedback, so the method is easy to implement in engineering and has practical value.