EE 37100 Lecture 1: 9 Root Locus (1)

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Parameter k , we don"t know if system is stable or not. " t4s2teg unknown affects poles poles : values of s that cause the tf to divide by zero. Root lows : used to describe quantitatively the performance of a system as parameters are changed. Yw be : (s+d(s-a (cid:8869) unstable cause theres a pole in rhp g- 2) m 8=2 roots @ lhp. 51--0 ; sz =-3 ; sz = - it j ; Rule # 1 : locate poles & zeros of hgls) - ta sy are those the segment of re axis of poles and zeros segments that lie to the left of an odd number that are part of the root lows ( only real poles. - ta but odd t left of odd pole on lows . Rule 3b : the branches originate @ the poles.

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