Question

Please to (B) in depth as its for exam review. It'd be nice to see al equations you used.

Real poles and zeros. Sketch the root locus with respect to K for the equabon 1 + KL(s) = 0 and the listed choices for L (s). Be sure to give the asymptotes and the arrival and departure angles at any complex zero or pole. At pleting each hand sketch, verify your results using Matlab. Turn in your hand sketches and the Matlab results on the same scales. 5.4 com-

Answer 1

(st3) Step 1: The open The open-op poles piso, Pa-1, The Open No. ot poles -4-sp DE의

480 6o (a) - 2 poles - ^eros -16-C-3) 13 34.33 3 Step S s: Break point: st 3 (st3) The Break oun detomined tmdk

dk

1o-S 3 s=-os is between two Poux. Hence Break point

60 ° jo.&66 NRL RL 0 -ja. Thtewetion with 0 R 6 6

Command Window 1syms s rlocus (x)

Root Locu:s 10 -10 20 0 20 Real Axis (seconds-1)

3 Continuous-time transfer function. X- 3^4 + 16 3^3 + 65 3^2 + 50 3 Continuous-time transfer function.

Matlab Code:

syms s
s=tf('s')
x=(s+3)/(s*(s+1)*(s+5)*(s+10))
rlocus(x)