Consider the following block diagram representation for the speed control of a DC motor:
Gp(S)
For a specific parameter values, the transfer function of the plant is given as:
244680.85 Gp(s) / (s + 297.546)(s + 879.844)
Design the digital compensator, Gp(z), using any technique that you deem appropriate such that the following constraints are met:
1. Zero steady-state error due to unit step input
2. Settling time of less than 0.025 seconds
3. An overshoot of at most 10%
Use Matlab to obtain the pulse transfer function of the closed-loop system using a sampling time of Tlms to verify your design (include the Matlab code along with plots in your solution documentation).