GATE ECE 2011 | Root Locus Diagram Question 9 | Control Systems

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)

-0.3

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)

-0.3

The root-locus diagram for a closed loop feedback system is shown in Figure. The system is overdamped. GATE ECE 2001 Control Systems - Root Locus Diagram Question 7 English

GATE ECE 2001 Control Systems - Root Locus Diagram Question 7 English

$$only\;if\;0\;\leq\;K\;\leq\;1$$

$$only\;if\;1\;<\;K\;<\;5$$

$$only\;if\;\;K\;>\;5$$

$$if\;0\;\leq\;K\;<\;1\;or\;K\;>\;5$$

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

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

-4

1.33

-1.33

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GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform

Network Theory

State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs Miscellaneous

Control Systems

Signal Flow Graph and Block Diagram Time Response Analysis Compensators Basic of Control Systems Frequency Response Analysis Stability Root Locus Diagram State Space Analysis

Digital Circuits