GATE ECE 2022 | Root Locus Diagram Question 1 | Control Systems

GATE ECE 2022

MCQ (Single Correct Answer)

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The root-locus plot of a closed-loop system with unity negative feedback and transfer function KG(s) in the forward path is shown in the figure. Note that K is varied from 0 to $$\infty$$.

Select the transfer function G(s) that results in the root-locus plot of the closed-loop system as shown in the figure.

GATE ECE 2022 Control Systems - Root Locus Diagram Question 1 English

$$G(s) = {1 \over {{{(s + 1)}^5}}}$$

$$G(s) = {1 \over {{s^5} + 1}}$$

$$G(s) = {{s - 1} \over {{{(s + 1)}^6}}}$$

$$G(s) = {{s + 1} \over {{s^6} + 1}}$$

GATE ECE 2011

MCQ (Single Correct Answer)

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The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by GATE ECE 2011 Control Systems - Root Locus Diagram Question 18 English

GATE ECE 2011 Control Systems - Root Locus Diagram Question 18 English

$$G\left(s\right)H\left(s\right)=k\frac{s\left(s+1\right)}{\left(s+2\right)\left(s+3\right)}$$

$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)^2}$$

$$G\left(s\right)H\left(s\right)=k\frac1{s\left(s-1\right)\left(s+2\right)\left(s+3\right)}$$

$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)}$$

GATE ECE 2002

MCQ (Single Correct Answer)

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Which of the following points is NOT on the root locus of a system with the open loop transfer function $$$G\left(s\right)H\left(s\right)=\frac K{s(s+1)(s+3)}$$$

$$s=-j\sqrt{3}$$

$$s=-1.5$$

$$s=-3$$

$$s=-\infty$$

GATE ECE 2001

MCQ (Single Correct Answer)

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Given the $$G\left(s\right)H\left(s\right)=\frac K{s\left(s+1\right)\left(s+3\right)}$$, the point of intersection of the asymptotes of the root loci with the real axis is

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