[zeros, poles, gain]=zpkdata(GH,'v)i contribution in degrees contrib =(180/pi)*(sum(angle(s1 zeros)) sum(angle(s1- poles))) contrib -270 The root locus angle criterion gives lead contribution ∠G(s1)H(S1)+p=-180 =-180-∠G(5)H(S1)(6.12) 2022-2-3 16
2022-2-3 16 [zeros,poles,gain]=zpkdata(GH, 'v'); % contribution in degrees contrib = (180/pi)*(sum(angle(s1 - zeros)) - sum(angle(s1 - poles))) contrib = -270 The root locus angle criterion gives lead contribution 180 ( ) ( ) ( ) ( ) 180 1 1 1 1 G s H s G s H s c c (6.12)
phi C=-l80-contrib phi C= 90 half phi c= phi c/2 half phi C 45 Because the line ba and od are parallel, the angle subtended by the line oab is also 135. thus angle OAB 135 angle BAD angle OAB/2 -half phi ci angle BEo angle OAB/2 half phi ci 2022-2-3 17
2022-2-3 17 phi_c = -180 - contrib phi_c = 90 half_phi_c = phi_c/2 half_phi_c = 45 Because the line BA and OD are parallel, the angle subtended by the line OAB is also 135°. Thus angle_OAB = 135; angle_BAD = angle_OAB/2 - half_phi_c; angle_BEO = angle_OAB/2 + half_phi_c;