Problem 1. H3(S) HI(S) H2(S) H4(S) Consider the system whose block diagram is shown above. Use the successive simplification (Block Diagram) procedure to find the system's transfer function directly relating the input U to the output Y.

Explain this diagram

R(s) G₁(s) G₂(s) G4(S) G6(s) G3(s) G5(s) - H₁(s) G7(s) b) Find the equivalent transfer function of this system. -H₂(s) C(s) - H3(s) a) Convert the signal flow graph into an equivalent block diagram, no simplification needed

Subject: Digital signal processing (DSP)

Question 1 (a) Draw a block diagram of a digitally controlled continuous plant and indicate on the diagram if the connections between blocks are digital or analogue signals. Assume the reference signal is digital. (b) If the plant transfer function is: 2000 H(s) = s + 400 By assuming a zero-order hold (using the conversion equation below) and a sample rate of 1000 SPS, show that the equivalent discrete transfer function of G(s) is: 1.648 H(z) %3D z - 0.6703 Zero-order Hold equation: [Z - 11 G(z) = Sketch the unit step response of H(s) and H(z) on the same graph and label significant points. Use a time range from 0 to 20 ms.

1. Find the transfer function using both Block Diagram Reduction and Signal Flow Graph H2 G1 appened R H1 G2 G3 Y

Apply the Mason's gain formula to the signal- flow graphs shown in figure below to find the transfer functions C(s) and (s) R(s) N(s) R(s) G₁ (5) G₂(5) G35) Hi (5) GA(S) G16 Gg(s) -H:S G6(5) No 1 C(s)

for the block diagram of a system shown, determine the transfer function?

control theory

Use Block diagram reduction method to For solving transfer function. [Show every work on a sheet of paper ]