基于牛顿迭代算法的伺服压力机控制系统研究

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为了实现伺服压力机滑块位移在特定工艺条件下的精确控制,以四连杆压力机为研究对象,以实现拉深工艺曲线为例,提出了基于牛顿迭代法伺服控制系统的设计方案。通过几何方法建立曲柄转角-滑块位移的数学方程式,得到运动学方程并进行仿真,根据仿真数据拟合出曲柄转角-滑块位移的数学关系式;利用MATLAB软件拟合目标工艺曲线,基于牛顿迭代算法实现了利用滑块位移对曲柄转角的多点一次性精确求解,并进一步利用计算结果拟合出曲柄转角-时间的函数;推导出控制周期内目标工艺曲线滑块位移对应的脉冲频率与个数,利用STM32实现输出目标脉冲。研究结果表明,目标工艺曲线与滑块实际位移曲线基本吻合,证明了该控制系统的设计方案可以实现对滑块位移的精确控制。 In order to realize accurate control of the displacement of the servo press under the specific process conditions, the four-bar press is taken as the research object, and the drawing process of the drawing is taken as an example to propose the design scheme of the servo control system based on the Newton iteration method. The mathematical equations of the crank angle and slider displacement are established by geometric method, and the kinematic equations are obtained and simulated. The mathematical relationship between crank angle and slider displacement is fitted according to the simulation data. The target process curve is fitted by MATLAB software, The iterative algorithm realizes the one-time accurate solution to the crank angle by using the slider displacement, and further uses the calculation result to fit the crank angle-time function. The pulse frequency corresponding to the displacement of the target technology curve slider in the control cycle is derived The number of STM32 output target pulse. The results show that the target process curve is basically consistent with the actual displacement curve of the slider, which proves that the design of the control system can precisely control the displacement of the slider.
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