The space satellite shown in Figure DP5.4(a) uses a control system to readjust its orientation, as shown in Figure DP5.4(b).
(a) Determine a second-order model for the closed-loop system.
(b) Using the second-order model, select a gain K so that the percent overshoot is less than 15% and the steady-state error to a step is less than 12%.
(c) Verify your design by determining the actual performance of the third-order system.
Figure DP5.4
Control of a space satellite.

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G(s) G(s) R(S) 10 orientation