A space telescope is to be launched to carry out astronomical experiments. The pointing control system is desired to achieve 0.01 minute of arc and track solar objects with apparent motion up to0.21 arc minute per second. The system is illustrated in figure (a). The control system is shown in figure (b). Assume that T1=1 second and T2=0.
(a) Determine the gain K=k1k2 required so that the response to a step command is as rapid as
reasonable with an over shoot of 5%. 5
(b) Determine the steady state error of the system for a step and a ramp input.

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Starlight Tracking and data relay satellite system Space shottle Ground station (a) Controller Process Y(s) R(s) K2{7|S + 1} KI Pointing angle Input T3s + 1 Starlight Tracking and data relay satellite system Space shottle Ground station (a) Controller Process Y(s) R(s) K2{7|S + 1} KI Pointing angle Input T3s + 1