What Software To Use For Using Pole Placement To Determine PID Gains?

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For modeling a control system and determining PID gains using pole placement, Matlab is recommended for its comprehensive capabilities in handling complex computations, including algebraic manipulations and Laplace transforms. Python is also mentioned as a potential alternative, though specific software tools within Python are not detailed. The user expresses a need for assistance with computational difficulties related to equations of motion and transfer functions. There is an inquiry about any preliminary work completed that could guide further assistance. Overall, Matlab is highlighted as a suitable choice for the required tasks.
Pipsqueakalchemist
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I'm trying to develop a closed loop control system and trying to tune PID gains using pole placement and deciding which software is the best
Hello I'm trying to model a controls system. The issue I'm having is that the equation of motion and taking the Laplace transform and obtaining the transfer function is computationally difficult. I'm new to this so I don't know which software tools to use. I've heard about Matlab and python. I just need something that can help me do complex computation such as doing tedious algebra for complex equations of motion, Laplace transform, transfer function. Then be able to use for pole placement for tuning PID gains.

Thanks and regards
 
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Matlab should be able to do all those functions and equations. Have you completed any work already to show?