This section of Control Systems Multiple Choice Questions and Answers (MCQs) focuses on the ” Signal Flow graph”.It will help you to prepare for various competitive exams.
CONTROL SYSTEM – SIGNAL FLOW GRAPH MCQs
1. The node that has one or more incoming branches only is called as:
Explanation:- Sink node or output node: It is a node that has one or more incoming branches only and no outgoing branches.
Source node or input node: It is a node that has only outgoing branches and no incoming branches.
2. Signal flow graph (SFG) is applicable to Nonlinear systems:
Explanation:- Signal flow graph (SFG) is applicable only to linear time-invariant (LTI) systems.
3. The node having both incoming and outgoing branches is called as:
Explanation:- Chain node: It is a node that has both incoming and outgoing branches.
Sink node or output node: It is a node that has one or more incoming branches only and has no outgoing branches.
Source node or input node : It is a node that has only outgoing branches and no incoming branches.
Explanation:- The overall transfer function of SFG is obtained by using Mason’s gain formula.Here in given figure, forward path gain g1=10 and loop gain L1=0.5 , Δ1 =1 and Δ=1-L1 = 1-0.5 , according to Mason’s gain formula TF = (g1 .Δ1)/Δ = 10/1-0.5 =20
Explanation:- There are 5 individual loops in the given SFG. These are L1= -G1H1 , L2= -G3H3. , L3= -G1G2G3H2 , L4= -G4H4 , L5= -G5H5 .Also, there are 5 combinations of two non touching loops and these are (i) L1L2 (ii) L1L5 (iii) L1.L4 (iv) L2L5. (v) L3L5
Explanation:- In the given figure there are 6 forward paths i.e g1.=G2G2G3 , g2= G4G5G6 , g3=G1G7G6 g4=G4G8G3 , g5= -G4G8H2G7G6, g6=-G1G7H1G8G3
Explanation:- It has 4 forward paths g1= G1G2G7 , g2=G4G7 , g3=G1G6 , g4=G4G3G6 and has 2 individual loops L1= G2G3 , L2=G5.
8. Signal flow graph is used to find:
Explanation:-Signal flow graph is used for obtaining the transfer function of the system by using Mason’s gain formula.
9. Which of the following is not a true statement for the signal flow graph?
Explaination:- In the signal flow graph, nodes are arranged from left to right in a sequence.
Explanation:- There are no combinations of three non touching loops in the given signal flow graph.
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