Control of the attitude 0 of a missile by controlling the fin angle cp. as shown in

Question:

Control of the attitude 0 of a missile by controlling the fin angle cp. as shown in Figure P12.1, involves controlling an inherently unstable plant. Consider the specific plant transfer function
Gp(s) = ( (s) / ( (s) = 1 / 5s2 - 6
Design a PD compensator for this plant. The dominant roots of the closed loop system must have ( = 0.707 and (n = 0.5.