Question 1: Given the Block Diagram as shown in Figure 1. Draw the Signal Flow Graph...
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 result in Q5ali), determine the transfer function using the Mason's gain (2marks) formula. 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 result in Q5ali), determine the transfer function using the Mason's gain (2marks) formula.
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).
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
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) WIN 1 5+1
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
Xs) H/(%) Fig. 2. System with disturbance a) Draw its corresponding Signal-Flow graph model b) Obtain the transfer function G(s) = Y(s)/T1(s) using Mason's formula based on the Signal-Flow graph model. Assume that R(s)0.
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
Problem 2. A signal flow graph for a system with input (k) and output y(k) is shown in Figure 1. 0.005 r(k) ei(k) z1v2(k) Vk) 0.03 0.1 0.05 e2(k) y(k) 0.07 e2(k) 11 0.7 0.2 V4(k) y(k) 0.9 0.4 Figure 1. Signal flow graph of a system. e) Find a state-space representation of the system in Figure 1 with state variables Find the transfer functionusing using Mason's gain rule and one other technique to verify the R(E) result g) Suppose...
3-21. The block diagram of a control system is shown in Fig. 3P-21. (a) Draw an equivalent SFG for the system. (b) Find the following transfer functions by applying the gain formula of the SFG directly to the block diagram. Y(s) Y(s) E(s) E(s) R(s)[N=0 N(s)R=0 R(s) N= N(s) R-0 (c) Compare the answers by applying the gain formula to the equivalent SFG. N() G (s) E(s) YS G () G3(s) H () Figure 3P-21
R E UA Given the block diagram as shown, R and D are inputs and G, G, and H, are transfer functions. a) Using only the block diagram reduction G G method", find the transfer function C/R in terms of G, G, and H. H, b) Using only the block diagram reduction method*, find the transfer function E/D in terms of G, G, and Hz. c) Using either the block diagram reduction method* or the equation method, find the transfer...