Be my best and save my life please Consider the following bl

Consider the following block diagram representation for the speed control of a DC motor, G_p (S) For a specific parameter values the transfer function of the plant is given as: G_P (S) = 244680.85/(s + 297.456)(s + 879.844) Design the digital compensator, G_D (Z) using any technique that you deem appropriate such that the following constraints are met: Zero steady state error due to a unit step input. Settling time of less than 0.02 seconds An overshoot of at most 5% Use Matlab to obtain the pulse transfer function of the closed-loop system using a sampling time of T =1 ms to verify your design (include the Matlab code along with plots with your solution documentation).

Solution

Thus G_P(0) = 244680.85/(297.456*879.844) = 0.935.