Question: AP6.6 A spacecraft with a camera is shown in Figure AP6.6(a). The camera slews about 16 in a canted plane relative to the base. Reaction

AP6.6 A spacecraft with a camera is shown in Figure AP6.6(a). The camera slews about 16° 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 A proportional plus derivative controller is used in a system as shown in Figure AP6.6(b), where

G s c p ( ) = + K KDs, and where K> 0 and K> 0. Obtain and plot the relationship between Kp and KD that results in a sta

ble closed-loop system.

Camera Solar panel Boom Controller T(s) (a) Plant 1 (s+1)(s+2)(s+4) Es) R(s)

Kp+ KD FIGURE AP6.6 (a) Spacecraft with a camera. (b) Feedback control

Camera Solar panel Boom Controller T(s) (a) Plant 1 (s+1)(s+2)(s+4) Es) R(s) Kp+ KD FIGURE AP6.6 (a) Spacecraft with a camera. (b) Feedback control system. (b) Y(s)

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