(25 points) Using Mason's rule, find the transfer function, T(s) = C(s)/R(s), for the system represented...
2. Find the closed loop transfer function, T(S)-Y(S)/R(S) by using Mason's rule. R(S) O 2
Control Systems 3. Y(s) Derive the transfer function G(s) = rule. U(S) of the following system using Mason's gain (18 marks) G9 G Gs Gi G2 G3 G4 GS G6 UO юү Hi H2 H3
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
(SLO ... (6)Points) 3. Find the C(S)/R(S) for the signal flow diagram using Mason's Gain Rule
Consider the system described 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. Hals) R(s) Ga(s) Gals) Go(s) Ge(s) C(s) Hz(s)
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
4. (25 points) Consider a sampled data system shown in the following figure, wherein the transfer function of the y (t) r*(t ZOH Process zero-order hold, and the process are given by 2s +1 Go(s) =--s G(s) = There parameter a is some real number, and T is the sampling time. (a) (15 points) Determine the discrete-time transfer function G(z). 4. (25 points) Consider a sampled data system shown in the following figure, wherein the transfer function of the y...
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
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to a single transfer function T(s) =R) using the append and connect commands in MATLAB. pts b) Using Simulink simulate the transfer obtained in a) for a step input. c) Obtain the state-space representation of T(s). [10 [5 pts [10 pts] C(s) Ris 50 s+I 2 Figure 1 -Irt Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to...
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.