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

Which of the following statements about the signal flow graph of control systems is INCORRECT? Correct Answer It is a further simplification the of K-graph of a control system.

correct option is 3

Concept:

Signal flow graph(SFG):

In SFG input-output relationship of a system is represented in graphical form. In SFG variables are represented by nodes and nodes are connected by line segments which are known as the branches of the graph.

Each branch has an associated gain and direction, signal can flow only in the direction of the arrow.

In SFG transfer function is referred to as transmittance. (option 1 is a correct statement)

2)[ 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;">if we write an equation for y it is given by y = ax which is similar to y = kx. (option 2 is a correct statement)

3) It is not a further simplification of the K-graph of a control system. (option 3 is an incorrect statement)

4) In the signal flow graph, The blocks of the transfer function, are eliminated by branches. summing symbols and take-off points are eliminated by nodes in this graph. (option 4 is a correct statement).

[ alt="F1 Neha Madhuri 20.11.2021 D10" graph wikipedia src="//storage.googleapis.com/tb-img/production/21/11/F1_Neha_Madhuri_20.11.2021_D10.png" style="width: 319px; height: 160px;">

[ alt="F1 Neha Madhuri 20.11.2021 D11" src="//storage.googleapis.com/tb-img/production/21/11/F1_Neha_Madhuri_20.11.2021_D11.png" style="width: 282px; height: 252px;">

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