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发表于 2025-8-31 20:39:41
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我从运动曲线开始。我需要知道运动距离和时间。我用它来估算上升和下降的斜坡时间。我将两者相加得到总时间,然后取反得到斜坡频率。气缸和负载的固有频率必须是使用带前馈的常规PID控制的斜坡频率的4倍。固有频率大致与气缸的直径成正比,因此斜坡时间越短,固有频率就必须越高。有一些公式可以计算固有频率和最佳运动曲线。我在Mathcad中有公式,所以我可以在几分钟内估算出气缸直径。
I start with the motion profile. I need to know how far the motion must be and in how much time. I use this to estimate the ramp times up and down. I add the two together to get the total time and then invert it to get the frequency of ramping. The natural frequency of the cylinder and load must be 4 times the frequency of ramping using normal PID control with feed forwards. The natural frequency is roughly proportional to the diameter of the cylinder so the shorter the ramp times, the higher the natural frequency must be. There are formulas for calculating the natural frequency and optimum motion profiles. I have formulas in Mathcad so I can estimate cylinder diameter in a few minutes.
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