A space telescope is to be launched to carry out astronomical experiments [8]. The pointing control system is desired to achieve 0.01 minute of arc and track solar objects with apparent motion up to 0.21 are minute per second. The system is illustrated in Figure P5.5(a). The control system is shown in Figure P5.5(b). Assume that Ñ‚1 = 1 second and Ñ‚2 = 0 (an approximation).
(a) Determine the gain K = K1K2 required so that the response to a step command is as rapid as reasonable with an overshoot of less than 5%.
(b) Determine the steady-state error of the system for a step and a ramp input.
(c) Determine the value of K1K2 for an ITAE optimal system for (1) a step input and (2) a ramp input.
Figure P5.5
(a) The space telescope.
(b) The space telescope pointing control system.

Transcribed Image Text:

Starlight Tracking an data relay satellite system Space Shuttle station Controller Process RUN) K1 Pointing angle