Consider the block diagram in figure 2 a. Hy R(s) GI G G3 +1 Figure 2 Convert figure 2 to signal flow graph. Using your...
4)Convert the following block diagram into signal flow graph (15 marks) R(s) X (s) U(s) H.(s) D(s) G(s) Xx(s) Hz(s) 5) Using Mason's gain formula, find the transfer function of the following systems (40 marks).
Question 1: Given the Block Diagram as shown in Figure 1. Draw the Signal Flow Graph and find the overall system Transfer Function using Mason's Gain formula. R G G Gg H G Figure 1. Block Diagram Representation
Hz(s) + R(s) Gi(s) G2(s) G3(s) G4(s) C(s) Hi(s) Consider the system described by the block diagram above. a. Find the transfer function of the system by reducing the diagram. b. Draw a signal-flow diagram for the given system. c. Using Mason's rule find the transfer function of the system. d. Compare your answers to part (a) and part (c). What do you notice? Explain.
Question 2 Figure 2 represents block diagram and signal flow chart which are commonly used in the industry to represent systems. (a) Determine the closed loop transfer function using block reduction method. (8 marks) (8 marks) (b) Using Mason's rule, determine the closed loop transfer function. (c) Comment your results found in part 2a and 2b. (4 marks) R(s) + Vi(s) V2() V3 (8) V4(s) + V:(s) C(s) G(S) Gz() G3(s) V-(8) H2(S) Hz(5) V (5) H (8) Figure 2
Draw a signal flow graph from the given block diagram below and find a transfer function Ys X() using Mason's rule. (15 pts)Bke i G3 (s) x(s) G2 (s) - Y(s) → H1 (s) C. H2 (s) 63
Simplify the following block diagram. Obtain the transfer function from R to C for Fig. 1, and the transfer function from X(s) to Y(s) for Fig. 2.Convert the block diagram of figures 1 and 2 to a signal flow graph.Below are the diagrams:
3. There is a block diagram as shown in Fig. G1 G2 G3 Fig. 2 (a) Convert the block diagram to a signal flow (b) Obtain its transfer function (G(s)-C(s)/R(s)) (c) As G -K.G3 G3 and its inputrt) is unit step, obtain the 50 condition of the P-controller(G1) for c(t) not to oscillate.
Upload your answers to this question below or via the submission folder on Brightspace. Hz/s) R(s) Gi(s) Gr(s) G3(s) Ga(s) Cls) Hils) Consider the system described by the block diagram above. a. Find the transfer function of the system by reducing the diagram. b. Draw a signal-flow diagram for the given system. c. Using Mason's rule find the transfer function of the system. d. Compare your answers to part (a) and part (c). What do you notice? Explain.
4. Find the modified signal flow graph from the block diagram in Figure 2 5. Determine the output wrt. the input R(s) Y (s) Gi(s) G2(s) H1(s) H2(s) Figure 2: A hybrid system.
Consider the system described in the figure below. a. Draw a signal-flow diagram for the given system. b. Using Mason's rule find the transfer function of the system. c. Find the value(s) of K for which the system will be stable. R(S) C(s) 5+1