International
Space Station is a habitable artificial satellite in low Earth orbit. Solar arrays, used
for onboard power generation, are large flexible components whose oscillations are easily excited.
The transfer function given below simulates the first two structural resonances of such a solar array.
G(s) = 50000
(s
2 + 0.02s + 400)(s
2 + 0.1s + 2500)
Design a suitable controller with root locus method to damp out the structural oscillations to a
step command, in less than 100s. (Hint: use 2% error criterion to set up the problem). What can
you say about the peak overshoot and resonant peak of the closed loop system due to the designed
controller? What is the nature of the controller? Do you think that a design is feasible if the
settling time required is less than 50 sec? If yes, give the design. If no, give reasons for the same
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