Engineering Control System mass spring damper

AI Thread Summary
The discussion focuses on a control system for a mass-spring-damper setup using a PI controller in Simulink. The user seeks clarification on ensuring unit consistency when controlling the PI controller for either position or velocity. They have made assumptions regarding damping coefficients and stiffness constants as conversion factors but are unsure of their validity. The user requests guidance on whether their approach is correct or if there are better solutions. Insights and suggestions from the community are welcomed to resolve this issue.
Gunter1977
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Homework Statement
Hobby project PI controller mass spring damper system
Relevant Equations
mz_ddot + cdz_dot+kz = External force + Force controller
Hello everybody

I have a question about my control system, and I've included a diagram for reference. In the diagram below, I've illustrated three different control schemes using Simulink. The first scheme represents a PI controller for a mass-spring-damper system, which I understand well. It involves calculating the error between the desired value and feedback, and the units appear to be correctly matched.

My question pertains to the control of the PI controller for position or velocity. In the section highlighted in red within the Simulink diagram, I have made an assumption to ensure unit consistency. However, I'm unsure if this approach is permissible. I have experimented with damping coefficients or stiffness constants as conversion factors, but I'm uncertain whether this is the correct approach or if it is allowed

Could someone provide guidance on how to resolve this issue? Have I gone about it the wrong way, and if so, what would be a more appropriate solution?

Your insights and suggestions would be greatly appreciated. Thank you!
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