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Write an m - file to represent the TF and find the step response of a separately

ID: 2083103 • Letter: W

Question

Write an m - file to represent the TF and find the step response of a separately excited motor (Given that the system parameters are: (j) moment of inertia of the rotor 0.01 kg.m^2 (b) motor viscous friction constant 0.1 N.n.s (ke) electromotive force constant 0.01 V/rad/sec (kt) motor torque constant 0.01 N.m/Amp (R) electric resistance 1 ohm (L) electric inductance 0.5 H Develop the m - file of question 1 to add P, PI, and controller for the system how to tune the P, I, D parameters to get an output achieving a good performance.

Explanation / Answer

First construct a state-space model of the DC motor with two inputs (Va,Td) and one output (w):

Note: Compute with the state-space form to minimize the model order.

Now plot the angular velocity response to a step change in voltage Va:

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