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GATE EE 2024 Set 1 — Question 57

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NAT+2 / -0HardRoot Locus: Asymptotes & AnglesFrequency Response & Root LocusControl Systems

Control Systems → Frequency Response & Root Locus → Root Locus: Asymptotes & Angles

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Question

Consider the closed-loop system shown in the figure with G(s)=K(s2−2s+2)(s2+2s+5).G(s) = \frac{K(s^2 - 2s + 2)}{(s^2 + 2s + 5)}. The root locus for the closed-loop system is to be drawn for 0≤K<∞0 \leq K < \infty. The angle of departure (between 0∘0^\circ and 360∘360^\circ) of the root locus branch drawn from the pole (−1+j2)(-1 + j2), in degrees, is _________________ (rounded off to the nearest integer).

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