It is desired to control the angular displacement of a

Chapter , Problem 12.3

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It is desired to control the angular displacement \(\theta\) of a space vehicle by controlling the applied torque T supplied by thrusters (Figure P12.3). The plant model is

                                                  \(G_p(s)=\frac{\Theta(s)}{T(s)}=\frac{5}{s^2}\)

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 \(\zeta \geq 0.45\).

                                                       

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