Problem 1 (30 points): A system's block diagram is shown in the figure. 1. Transform the...
1. (30 points) The block diagram of a machine-tool control system is shown in Figure 1. (a) (10 points) Determine the transfer function H(s) = Y(s)/R(s) (b) (10 points) Determine the sensitivity S (c) (10 points) For 1
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
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.
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
For the block diagram of a feedback control system that is shown in Figure Q1 below, find the transfer function Ts) Y(s) /R(s) for the system. 2 R(s) Y(s) :? 2 2 Figure Q1
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...
QI. The block diagram representing a mechanical system is shown in Figure 1(a). The desired set point to controllers is r(t) = 50. The system vibrates as shown in Figure 1(b). (1) Find the transfer function of C(s) /R(s) by reducing the block diagram (in) Determine the value of a and b (ii) Find the steady state error of the system Figure 1(a) Time (seconds) Figure 1(b) ANSWER Transfer function, 0.12b +0.12 0.12as +012bs + 0.125 + 1 () Mp....
2. The Nyquist diagram of a system's loop transfer function is shown in Figure 2. Assume that H(s) 1 and G(s) has no poles in the right half plane. Now suppose a gain K is cascaded with G(s) Find the range of positive K for which the system is stable. Im Re 18 0.5 Figure 2
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).
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.