Given the following system's block diagram, use Mason's rule to determine its transfer function (25%) 3)
Use Mason's rule to find the transfer function of the signal-flow diagram shown in Figure below. Knowing that: G1=7 G2=1/s G3=2 G4=1/s G5=-5 G6=1/s G7=-4 G8=5 G9=2 G10=9 G11=6 G12=3 H1=-4 H2=-2 H3=2 H4=-3 H5=-6 H6=1 G9 G10 G8 G11 R(s) G: G2 G3 G4 G5 G6 Y(s) 5 HI H2 H3 Ha Hs G12 HG
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
transfer function for the system shown below by using Mason's rule. 7 2 2 We were unable to transcribe this image transfer function for the system shown below by using Mason's rule. 7 2 2
(25 points) Using Mason's rule, find the transfer function, T(s) = C(s)/R(s), for the system represented by the following figure. 636) R(S) a G) Gz(s) Gs(s) H(s) Hz(s) Hz(s) The transfer function is: T(s) = 1 help (formulas)
Q3. A system's behavior is governed by the following transfer function relationships. Draw a block diagram to represent this scenario. X(s) = G($)U(s); Y(s) = H($)U(s); W(S) = M(9)Y(s); Z(s) = P(s)X(s); T(s) = Q(s)Y(s), N(s) = Z(s) + W(s) +T(s)
Problem 1 (30 points): A system's block diagram is shown in the figure. 1. Transform the block diagram to an SFG 2. Calculate the transfer function from R(s) to Y)
3. (25 points) For the block diagram shown in Figure 1, develop the transfer function between Y(s) and U(s) Figure 1. Block diagram for Problem 3. 4. (20 points) Consider each of the input profile in Figure 1. Develop an expression for U(s) for each case. Time Time Figure 1. Input profiles
Problem 10. If a continuous-time system's transfer function is given by G[s] = (3+3) P (2+5.55+25)(3+2and one wants to control the system with a discrete-time controller without changing the system's bandwidth, what is a reasonable sample period? 1. T = 0.001 seconds 2. T=0.1 seconds 3. T = 0.4 seconds 4. T=0.04 seconds 3. None of the above.
Problem 1 Block Diagram Reduction Use the block diagram reduction method to compute the transfer function ()/R(8). Show work! Ab R(s) 0 FIGURE 7.27. Block diagram reduction.