Build Simulink Model to Measure the Static Gain of the Motor - Sisotool in Matlab to Design PI Controller - Matlab Assignment Help

Assignment Task :

Answer all the questions
1. Consider the following motor speed transfer function

Calculations for the static gain:
b) Build Simulink model to measure the first order pole position. Show the units clearly Measurements for the pole:
 

Submit:
• Screenshot of the *.mdl file used in a & b
• Copy of the model used
• Output figures (scope)  with the Cursor Measurements function activated and showing the measured results
• Detailed calculations 
 

2. For the following motor speed transfer function
 

Build a Simulink model that can be used to find the corner frequencies

First Corner Frequency Measurement and Calculation.

Second Corner Frequency Measurement and Calculation.

Submit:
• Screenshot of the *.mdl file used 
• Copy of the model used
• Output figures (scope) with the Cursor Measurements function activated and showing the measured results
• Detailed calculations 
 

3. Implement motor position transfer function in MATLAB with the following C/Cs:
• The first pole at 40rad/sec
• The second pole at 1000 rad/sec
• static gain K=40
 

a) Use the sisotool in Matlab to design PI controller that gives phase margin=60???? when f=22 rad/sec then read from the ouput of sisotool the following:

•  Gain margin and corresponding frequency
•  Rise time 
•  Settling time within 5%
•  Overshoot%
• Measured values are:
   

b) In MATLAB implement the overall transfer function of your system then 

•  Draw Bode plots and read the phase margin and the gain margin from the plot (show them on the submitted graph)
•  Draw the step response and measure rise time, settling time (5%), delay time and Overshoot
   

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