Consider the block diagram in Figure CP2.10. Create an m-file to complete the following tasks:
(a) Compute the step response of the closed-loop system (that is, R(s) = 1/s and Td(s) = 0) and plot the steady-state value of the output Y(s) as a function of the controller gain 0 (b) Compute the disturbance step response of the closed-loop system (that is, R(s) = 0 and Td(s) - 1/s) and co-plot the steady-state value of the output Y (s) as a function of the controller gain 0 (c) Determine the value of K such that the steady-state value of the output is equal for both the input response and the disturbance response.
Figure CP2.10
Block diagram of a unity feedback system with a reference input R(s) and a disturbance input Td(s).

s) Controller Plant Ea(s) Rts) Ys)