The output of the feedback control system must be a function of:
Which of the following is not the feature of modern control systems?
For a good control system the speed of response and stability must be high and for the slow and sluggish response is not used and undesirable.
The principles of homogeneity and superposition are applied to ______.
Superposition theorem states that for two signals additivity and homogeneity property must be satisfied and that is applicable for the LTI systems.
The sum of the gains of the feedback paths in the signal flow graph shown in fig. is
A control system whose step response is 0.5(1+e^{2t}) is cascaded to another control block whose impulse response is e^{t}. What is the transfer function of the cascaded combination?
The overall transfer function C/R of the system shown in fig. will be:
Consider the signal flow graphs shown in fig. The transfer 2 is of the graph:
There are no loop in any graph. So option (B) is correct.
Consider the List I and List II
The correct match is
P. P_{1} = ab, Δ = 1, L = 0 ,T = ab
Q_{1} P_{1} = a, P_{2} = 6 , Δ = 1, L = Δ_{k} = 0,T = a+b
R. P_{1} = a, L_{1} = b, Δ = 1  b, Δ_{1} =1,
S. P_{1} = a, L_{1} = ab, Δ = 1  ab, Δ_{1} = 1,
For the signal flow graph shown in fig. an equivalent graph is
Consider the block diagram shown in figure.
For this system the signal flow graph is
Option (A) is correct. Best method is to check the signal flow graph. In block diagram there is feedback from 4 to 1 of gain  H_{1}H_{2} . The signal flow graph of option (A) has feedback from 4 to 1 of gain  H_{1}H_{2}
The block diagram of a system is shown in fig. The closed loop transfer function of this system is
Consider the block diagram as SFG. There are two feedback loop G_{1}G_{2}H_{1} and G_{2}G_{3}H_{2} and one forward path G_{1}G_{2} G_{3} . So (D) is correct option.
For the system shown in fig. transfer function C(s) R(s) is
Consider the block diagram as a SFG. Two forward path G_{1}G_{2 }and G_{3 }and three loops G_{1}G_{2} H_{2}, G_{2}H_{1}, G_{3} H_{2}
There are no nontouching loop. So (B) is correct.
In the signal flow graph shown in fig. the transfer function is
P_{1} = 5 x 3 x 2 = 30, Δ = 1  (3x  3) = 10
Δ_{1} = 1,
In the signal flow graph shown in fig. the gain C/R is
P_{1} = 2 x 3 x 4 = 24 , P_{2} = 1 x 5 x 1 = 5
L_{1} = 2, L_{2} = 3, L_{3} = 4, L_{4} = 5,
L_{1}L_{3} = 8, Δ = 1 (2  3  4  5) + 8 = 23, Δ_{1} = 1, Δ_{2} = 1  (3) = 4,
The gain C(s)/R(s) of the signal flow graph shown in fig.
The negative feedback closedloop system was subjected to 15V. The system has a forward gain of 2 and a feedback gain of 0.5. Determine the output voltage and the error voltage.
Given:
G(s) = 2
H(s) = 0.5 and R(s) = 10V
Output voltage:
= (2/1 + 2 x 0.5) x 15 = 15V
Error voltage:
= (1/1 + 2 x 0.5) x 15 = 7.5V
For the block diagram shown in fig. transfer function C(s)/R(s) is
Four loops G_{1}G_{4}, G_{1}G_{2}G_{5}, G_{1},G_{2}G_{5}G_{7} and G_{1}G_{2}G_{3}G_{3}G_{7}.
There is no nontouching loop. So (B) is correct.
For the block diagram shown in fig. the numerator of transfer function is
SFG
P_{1} = G_{2}G_{5}G_{6} , P_{2} = G_{3}G_{5}G_{6}, P_{3} = G_{3}G_{6} , P_{4} = G_{4}G_{6}
If any path is deleted, there would not be any loop.
Hence Δ_{1} = Δ_{2} = Δ_{3} = Δ_{4} = 1
For the block diagram shown in fig. the transfer function C(s)/R(s) is
In the signal flow graph of figure y/x equals
Transfer function
PK = 5 x 2 x 1 = 10
Δ_{K} = 1
Δ = 1  (4) = 5
= 2
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