Question: It is desired to control the angular displacement ( of a space vehicle by controlling the applied torque T supplied by thrusters (Figure PI2.8a). The

It is desired to control the angular displacement ( of a space vehicle by controlling the applied torque T supplied by thrusters (Figure PI2.8a). The plant model is
Gp (s) = ( (s) / T (s) = 10 / s2
Figure P12.8

The feedback sensor that measures the displacement has a time constant of 0.1 sec (Figure P12.8b). Design a compensator so that the closed loop system will have a time constant of 1 sec and a damping ratio of 0.5.

G (s) 0.s 1 Sensor

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