(Root Locus Design) 4. Given a unity feedback system with the transfer function G(s) — K s(s + 20)(s + 90) a) Find a pole for a phase lead compensator using Root locus method so that the desired dominant roots for the transient response are at —12.78 ± i2.94. Choose the compensator zero at s=-20. b) Find K for the compensated system
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