SOLUTION - A
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to a single transfer function T(s) =R)...
(1) For Figure 1, reduce the block diagram to the transfer function level. (2) For Figure 2, also reduce the block diagram to the transfer function level. (3) For Figure 3, again reduce the block diagram to the transfer function level. (4) For Figure 4, reduce the block diagram to the unity feedback loop level. Frgura 3 Ris) Hs Frere y Fes S8-12 K3 Kur (1) For Figure 1, reduce the block diagram to the transfer function level. (2) For...
Reduce the block diagram below to a single block representing the transfer function T(S) C(s) R(S) H3(s) Hl(s) R(s) + C(s) Gi(s) G2(s) G3(s) Hz(s) H4(s)
Q4. (a) Reduce the block diagram shown in Figure Q4a to a single mathematical expression suitable for implementation in MATLAB. Each letter represents a transfer function in the s-domain. (10) G1 G2 G3 G4 G5 G6 Figure Q4a (b) Describe the process of generating the Nyquist plot. (c) Discuss how you would investigate the stability of a control system using the Nyquist plot and gain and phase margins of stability. (7) Q4 Total Marks [25] educe the block diagram shown...
Reduce the block diagram shown to a single transfer function, T(s) C(s)/R(s) Gl (s) G2(s) G3(s) G4(s) C(s) G6(s) G7(s)
Question 3 a) Reduce the block diagram in Figure 3 to a single block with the overall tra (10 marks) function. H2(s) Figure 3: A block diagram comprising multiple subsystems and controllers b) For the system in Figure 4, assume that the plant has the following transfer function: If the controller in Figure 4 is proportional-only, determine the following: (2 marks) i) The system type. i) The steady-state error, es, if the reference signal, R(s) is a unit step input....
Reduce the block diagram shown to a single block T(s)= C(s)/R(s). TICCll.. A ram shown in Figure P5.3 to a single block, T/s) = C(s)/R(s). [Section: 5.2] G8 C(s) R(S) + G6 G3 ure P5.4 to an equivalent unity-feedback system.
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
Q4. (a) Reduce the block diagram shown in Figure Q4a to a single mathematical expression suitable for implementation in MATLAB. Each letter represents a transfer function in the s-domain. 10) G1G2 G3 G4 G5 G6 Figure Q4a (b) Describe the process of generating the Nyquist plot. (c) Discuss how you would investigate the stability of a control system using the Nyquist plot and gain and phase margins of stability. 7)
PROBLEMS B-2-1. Simplify the block diagram shown in Figure 2-29 and obtain the closed-loop transfer function C(s)/RS). B-2-2. Simplify the block diagram shown in Figure 2-30 and obtain the closed-loop transfer function C(s)/R(s). B-2-3. Simplify the block diagram shown in Figure 2-31 and obtain the closed-loop transfer function C(s)/R(S). G1 R(S) CS) Figure 2-29 Block diagram of a system. Figure 2-30 Block diagram of a system. Figure 2-31 Block diagram of a system.
asap Problem 1) (25 Pts.) C(s) a) Simplify the below block diagram to find the overall system transfer function G(s)R Show your work including all intermediate block diagrams you may require. b) Given input r(t) is a unit step, find output time response c(t). (Hint: By MATLAB might be easiest).