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1. (15pts) Design a LEAD controller for the heading control of an antenna. The purpose of this system is to have the azimuth angle output of the antenna, θ。(t), follow the input angle of the potentiometer, θ(t). Figure (a) shows a scheme of this system. Antesna Potentioneter 0i 8. K (s) G(s) Azimuth arglk Desised rimeth angle eput 6.625 Ts +1 G(s) = s(s +1.71) (s +100) The control objectives are: ·Steady state error of 12.9% for a unit-ramp input Minimum phase margin of 45 deg Minimum gain margin of 5 dB

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