It is desired to control the angular displacement ( of a space vehicle by controlling the applied torque T supplied by thrusters (Figure PI2.3). The plant model is
Gp (s) = ( (s) / T (s) = 5/s2
Design a compensator for this plant. The system must have a settling time no greater than 4 sec and a steady-state error of zero for a step command, and the dominant roots of the closed-loop system must have ( ≥ 0.45.