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answer and work for 5&6? show the transfer function in terms of the blocks, and the...
What is the equivalent transfer function a feedback system
consisting a forward transfer function, G(s) and a feedback
transfer function, H(s)?
G(s) H(S) o G(s)H(s) G(s)H(s) 1+G(s) G(s) 1+G(s)H(s)
Question 1 a) Define the term transfer function in relation to a
linear control system. [5 marks] Figure Q1 shows a block diagram of
a feedback control system, with a plant with transfer function G(s)
, a controller with transfer function C(s) , and a sensor with
transfer function H(s) . b) Derive from first principles the closed
loop transfer function G (s) cl from the reference signal r(t) , to
the output signal y(t) . [5 marks] c) Give...
Please show detailed work including all algebra and
diagrams.Thanks !!!
5. Realize the transfer voltage-ratio function 600s H(s) (5.167) (s2+600s+107%s+ 2000)
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done is correct. The work that will count for points...
Please answer all parts
Problem #5 - (20%) A circuit has the transfer function: H(S) = S. (s + 5623 (s + 31.62) · (s + 17778) (a) Use asymptotic analysys to compute (HS) at infinite frequency by inspection of the circuit (not by computation). Express your answer in dB. (4%) (b) Determine the phase of the transfer function at infinite frequency. (4%) (c) Rewrite the transfer function in the form used for creating a Bode plot. (4%) Problem #5...
For the control system engineering problems ,
d) for the system of 1.c, push H(S) to the left past the summing
junction and draw the equivalent system
e) for the system of 1.c, push H(S) to the right past the pick
off point and draw the equivalent system
please answer D) AND E)
s+5 and A. Find the equivalent transfer function of three cascaded blocks, G1 G3(s) = $15 B. Find the equivalent transfer function of three parallel blocks, G...
3. Draw the Bode plot (magnitude and phase) for the transfer function H(s) of a CT LTI given by H(s) 4000 only the asymptotic plot of the terms that make up the transfer function but also show the composite plot that adds all the terms that make up the transfer function. S+2000s+10 where the ROC includes the ja axis. Show
singal and
system
QUESTION 5 [20 marks] Given transfer function of a networks H(s) transfer function at w = 1000 rad/s. $10+ 52 +10005+7x106 - Evaluate the [10 marks) b) Simplify and obtain the frequency response (magnitude and phase plots) of the 100(5+10) following transfer function H(s) s+10000 [6 marks] Sketch the magnitude and phase plots from (b) using Bode Plot Technique. [4 marks]
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the plant transfer function G(s), in figure 4, is given by 1 SI - SG = 1+G(s)H(s) (ii) If G(s) = and H(s) = 10 (figure 4) and the dc gain of the plant transfer function G(s) changes by 1%, what is the corresponding change in the dc gain of the closed-loop system? [40%] (b) A feedback system is to control output angular position 0....