基于牛顿迭代算法的伺服压力机控制系统研究

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。

Study on servo press control system based on Newton iteration method

In order to realize the precise control of the slider displacement under specific conditions, a set of servo control system design scheme based on Newton iteration method was put forward to obtain drawing process curve for four-bar linkage press. Therefore, the math-ematical equation of crank angle and sliding block displacement was established by geometric method, and the kinematic equations were derived and simulated. Then, the mathematics relationship between the crank angle and the sliding block displacement based on fitting the simulation data was obtained, and its multi-point and one-time accurate solution was realized by fitting the target process curve with MATLAB and based on Newton iterative algorithm. Furthermore, the function of crank angle and time was fit by the calculation results. Finally, the frequency and pulse number for the target process curve ( slider block displacement) during one regulating period were de-rived, and target pulse was output by STM32. The research results show that the target process curve is consistent with the actual displace-ment of the slider, and the precise control of the sliding block displacement can be realized.