blem # 2: Simplify the blockdiagram shown below and obtain overall transfer funetion C(o/R(s) Note that...
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).
1. Simplify the block diagram shown in the figure below. Then, obtain the closed-loop transfer function C(s) /R(s). Hi R(s) G1 Gix 1 C(s) H2 H3
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. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2 3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2
Q4. The feedback system shown below has a plant, a controller, and sensor transfer functions as G(s), Gc(s) and H(s), respectively. Find the output Y(s) and the input U(s) as a function of the inputs and transfer functions. (2 Points) D(s) R(s) + U(s) Gc (s) O G(s) - Y(s) H(S)
2. Consider the closed-loop system shown below: R(S) MS to Gs)_ G(S) H(s) A. Obtain the transfer function of the closed-loop system. B. Obtain the sensitivity of the closed-loop system to the variations of G(s) (SC). How can one tune G(s) such that the sensitivity of the system to G(S) is minimized? C. Obtain the sensitivity of the closed-loop system to the variations of H(s) (S). What is the lowest possible value of this sensitivity?
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...
Simplify the following block diagram. Obtain the transfer function from R to C for Fig. 1, and the transfer function from X(s) to Y(s) for Fig. 2.Convert the block diagram of figures 1 and 2 to a signal flow graph.Below are the diagrams:
Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below so that the resulting system has all poles at s=-2, and the output C(s) will track asymptotically any step reference input R(s). Find the resulting overall transfer function T(s) R(s) Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below...
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...