For a first order system with a transfer function of (1/(5s+2), given a unit step input, please
a.) Derive the transfer function of this system with a proportional control (Kp) with a feedback loop. Draw the system response for Kp= 1,2,3,...,10.
Draw the body plot of the closed loop system for Kp = 1,2,3,...,10.
b.)Derive the transfer function of the system with a proportional control (Kp) and an integral control (Kt) with a feedback loop. Draw the system response for Kp= 1,2,3,4, and Kt= 0.1,0.3,0.5,1.0.
You may generate four figures each with different Kp and overlaid K1s
Dra the bode plot of the closed loop system for Kp= 1,3; and Kt=0.3,1.0