Engineering Control System mass spring damper

Thread starter Gunter1977
Start date Sep 27, 2023
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Control system Simulink

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SUMMARY

The discussion focuses on the implementation of a PI controller for a mass-spring-damper system using Simulink. The user seeks clarification on ensuring unit consistency when controlling position or velocity, specifically regarding the use of damping coefficients and stiffness constants as conversion factors. The inquiry emphasizes the importance of correct unit matching in control systems and the need for guidance on permissible approaches in this context. The community is invited to provide insights and alternative solutions to enhance the user's understanding.

PREREQUISITES

Understanding of PI controllers in control systems
Familiarity with mass-spring-damper dynamics
Proficiency in using Simulink for modeling control systems
Knowledge of unit consistency in engineering calculations

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Research "Simulink PI controller implementation" for practical examples
Study "mass-spring-damper system dynamics" to deepen understanding
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Control engineers, systems designers, and students studying control systems who are working with mass-spring-damper models and seeking to optimize their understanding of PI controllers in Simulink.

Sep 27, 2023

Gunter1977

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!