CP7.8 Consider the spacecraft single-axis attitude con

trol system shown in Figure CP7.8. The controller is known as a proportional-derivative (PD) controller.

Suppose that we require the ratio of K Kp D / = 12.

Then, develop an m-file using root locus methods find the values of K J D/ and K J p/ so that the set

tling time Ts is Ts ≤ 2 s, and the peak overshoo

≤ 5% for a unit step input. Use a 2% criterion to determine the settling time. 

Spacecraft PD controller model (s) B(s) Kp+Kps Actual Js attitude FIGURE CP7.8 A spacecraft atti- tude control system with a proportional- derivative controller. Desired attitude