A spacecraft with a camera is shown in the figure. The camera slews about 16 inches in a canted plane relative to the base. Reaction jets stabilize the base against the reaction torques from the slewing motors. Suppose that the rotational speed control for the camera slewing has a plant transfer function:
Camera
Solar panel
1
= s(s+2)(s+3)(s+4)
A proportional plus derivative controller is used in a system as shown in the figure, where:
Gcs = Kp + KpS
and where K > 0 and Ko > 0. Obtain and plot in Matlab the relationship between KP and Ko that results in a stable closed-loop system.
Ta(s)
Controller
Plant
Ea(s)
R(s)
Kp + KpS
(s+2)(s+3)(s+4)
Ys