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Unformatted text preview: Solution: The part between-2 and 0. (2.5 pts) Find the asymptotes of the root locus (their center and angles) and mark them on the above plot. Solution: There are two asymptotes diverging to in±nity along ± 90 ◦ angles, with the center [(-2 + j . 5-j . 5)-0] / (3-1) =-1. (2.5 pts) Determine if z = j 2 is on the root locus. If not, what is the angle of de±ciency φ ? Solution: The angle of di±ciency is φ = 180 ◦-n G ( j 2) =-45 ◦ , which is not 0. Therefore, j 2 is not on the root locus. See the plot next page for the root locus by Matlab. 1-3-2-1 1 2 3-2-1.5-1-0.5 0.5 1 1.5 2 2.5 Root Locus Real Axis Imaginary Axis 2...
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- Spring '08
- Root Locus, Complex number