Higher Study | Control Systems | Signal Flow Graph and Block Diagram

The total number of feedback loops of the signal flow graph is, where R is the input and C is the output.

ক

3

খ

4

গ

5

ঘ

6

The signal flow graph shown in the given figure has

ক

Three forward paths and two non-touching loops

খ

Three forward paths and three non-touching loops

গ

Two forward paths and two non-touching loops

ঘ

Two forward paths and three-loops

For the signal flow graph shown in fig below the graph determinant Δ is

ক

1-bc-fg-bcfg+cigj

খ

1-bc-fg-cigj+bcfg

গ

1+bc+fg+cigj-bcfg

ঘ

1+bc+fg+bcfg-cigj

For the block diagram as shown in figure, the overall transfer function \(\frac{C}{R}\) is

ক

\(\frac{{{G_1}{G_2}{H_1}}}{{\left( {1 - {G_1}{H_1} - {G_2}{H_2}} \right)}}\)

খ

\(\frac{{{G_1}{G_2}}}{{\left( {1 - {G_1}{H_1} + {G_2}{H_2}} \right)}}\)

গ

\(\frac{{{G_1}{G_2}{H_2}}}{{\left( {1 + {G_1}{H_1} + {G_2}{H_2}} \right)}}\)

ঘ

\(\frac{{{G_1}{G_2}}}{{\left( {1 + {G_1}{H_1} - {G_2}{H_2}} \right)}}\)

The sum of the gains of the feedback paths in the signal flow graph shown in the figure is -

ক

af + be + cd + abef + abcdef

খ

af + be + cd + cbef + bcde + abcdef

গ

af + be + cd

ঘ

af + be + cd + abef + bcde

Which of the following equations holds true for the following signal flow graph?

ক

x2 = A21x1 + A23x3

খ

x2 = A21x1 + A22x2

গ

x4 = A41x2 + A43x3

ঘ

x3 = A31x1 + A23x2 + A33x3

The point from which the signal is taken for the feedback purpose is called:

ক

Summing point

খ

Null point

গ

Take-off point

ঘ

Feedback point

Consider the following statements for signal flow graph: 1. It represents linear as well as non-linear systems. 2. It is not unique for a given system. Which of the above statements is/are correct?

ক

1 only

খ

2 only

গ

Both 1 and 2

ঘ

Neither 1 nor 2

The signal flow diagram for a certain feedback control system is shown in the figure. Now consider the following set of equations for the nodes 1. x2 = a1x1 + a9x3 2. x3 = a2x2 + a8x4 3. x4 = a3x3 + a5x2 4. x5 = a4x4 + a6x2 Which of the following is correct?

ক

1, 2 and 3

খ

1, 3 and 4

গ

2, 3 and 4

ঘ

1, 2 and 4

Which of the following statements about the signal flow graph of control systems is INCORRECT?

ক

The transfer function is referred to as transmittance in a signal flow graph.

খ

The representation of equation y = ax, is represented by a signal flow graph as <img alt="F1 Neha Madhuri 20.11.2021 D9" src="//storage.googleapis.com/tb-img/production/21/11/F1_Neha_Madhuri_20.11.2021_D9.png" style="width: 156px; height: 48px;">

গ

It is a further simplification the of K-graph of a control system.

ঘ

The blocks of transfer function, summing symbols and take off points are eliminated by branches and nodes in this graph.