GATE EE 2024 | Block Diagram and Signal Flow Graph Question 1 | Control Systems

GATE EE 2024

MCQ (Single Correct Answer)

-0.33

For the block-diagram shown in the figure, the transfer function $\frac{C(s)}{R(s)}$ is

GATE EE 2024 Control Systems - Block Diagram and Signal Flow Graph Question 1 English

$\frac{G(s)}{1 + 2G(s)}$

-$\frac{G(s)}{1 + 2G(s)}$

$\frac{G(s)}{1 - 2G(s)}$

-$\frac{G(s)}{1 - 2G(s)}$

GATE EE 2023

MCQ (Single Correct Answer)

-0.33

For the block diagram shown in the figure, the transfer function $${{Y(s)} \over {R(s)}}$$ is

GATE EE 2023 Control Systems - Block Diagram and Signal Flow Graph Question 2 English

$${{2s + 3} \over {s + 1}}$$

$${{3x + 2} \over {s - 1}}$$

$${{s + 1} \over {3s + 2}}$$

$${{3s + 2} \over {s + 1}}$$

GATE EE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function $${\left. {{{Y\left( s \right)} \over {{X_2}\left( s \right)}}} \right|_{{x_1}\left( s \right) = 0}}?$$ GATE EE 2015 Set 1 Control Systems - Block Diagram and Signal Flow Graph Question 13 English

GATE EE 2015 Set 1 Control Systems - Block Diagram and Signal Flow Graph Question 13 English

$${{{G_1}} \over {1 + {G_2}\left( {1 + {G_1}} \right)}}$$

$${{{G_2}} \over {1 + {G_1}\left( {1 + {G_2}} \right)}}$$

$${{{G_1}} \over {1 + {G_1}{G_2}}}$$

$${{{G_2}} \over {1 + {G_1}{G_2}}}$$

GATE EE 2014 Set 3

MCQ (Single Correct Answer)

-0.3

The signal flow graph of a system is shown below. $$U(S)$$ is the input and $$C(S)$$ is the output. GATE EE 2014 Set 3 Control Systems - Block Diagram and Signal Flow Graph Question 14 English

GATE EE 2014 Set 3 Control Systems - Block Diagram and Signal Flow Graph Question 14 English

Assuming $${h_1} = {b_1}$$ and $${h_0} = {b_0} - {b_1}{a_1},$$ the input-output transfer function, $$G\left( S \right) = {{C\left( S \right)} \over {U\left( S \right)}}$$ of the system is given by

$$G\left( S \right) = {{{b_0}s + {b_1}} \over {{s^2} + {a_0}s + {a_1}}}$$

$$G\left( S \right) = {{{a_1}s + {a_0}} \over {{s^2} + {b_1} + {b_0}}}$$

$$G\left( S \right) = {{{b_1}s + {b_0}} \over {{s^2} + {a_1}s + {a_0}}}$$

$$G\left( S \right) = {{{a_0}s + {a_1}} \over {{s^2} + {b_0}s + {b_1}}}$$