1. The transfer function from the DC motor voltage to the rotational speed can be expressed as the following primary transfer function when the dynamic characteristics of the current are neglected. G(s) = b/(s+a). Perform a step response experiment using 5V and 10V as input, and use the obtained results to find the unknown coefficients a and b of the transfer function. Verify the validity of the results obtained by comparing the simulation results with Simulink simulation results. Condition: The unit of input is volt, and the unit of output is rad/sec.

2. Using the transfer function obtained in 1, design a PI controller using Simulink and simulate velocity follow-up control using a sine wave or triangular wave as a speed reference, and write a report using block diagram and simulation results.

input1:5V output1:500rad/sec

input2:10V output2:1000rad/sec