# What is Transfer fucntion: Definition and 14 Discussions

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1. ### Engineering RLC circuit -- Phasor Transfer Function calculation

Good morning, I need some help solving those two question. I've attached my attempted solution below. Could i solve the transfer function any further? Thank you for your help
2. ### Engineering W0 = 1/RC? Transfer Functions and Bode Plots

Here is the example and solution in full. I have circled where I'm at and highlighted the part that's tripping me up. I managed to get... and getting everything in terms of the angular frequency seems to be critical for getting the plots for the Frequency Response. I checked my notes on RC...
3. ### Steps from state space to transfer function

I mean the first question has derivative form and the second is linear form so what the difference here in steps of converting both to transfer function... please need some ellaboration to make sure i am solving correctly or not... is it correct to apply the same rule on both: Transfer function=...
4. ### Parameters of a non-standard second-order transfer function

For a standard second-order system, its transfer function is G(s) = ω2/(s2 + 2ζω + ω2) where ω is the natural frequency and ζ is the damping ratio. But for a non-standard second-order transfer function, G(s) = (2s + 1)/(s2 + 2s + 5), what are its natural frequency and damping ratio? Thank you!
5. ### I Transfer Function relating momentum and force

Hey all, I hope this is the correct forum section to post this in. I heard about this problem from a youtube video but I've not been able to simulate it because the video was meant only for an introduction into PID control. Here's the problem: A remote control helicopter is hovering just...
6. ### A Can I linearize this equation?

By using the laplace transform: $f(t)=sin(Φ(t))$ I want it in the form: F(S)/Φ(S) The purpose is to linearize it in order to put it into a larger transfer function, so far my only solution is to simplify it using taylor expansion.
7. ### Magnitude of the transfer function

Hi all, In one of my problems there is a question with a plot of the transfer function magnitude versus frequency. In the graph I notice that the magnitude of the transfer function is greater than 1. This is confusing as I thought that filters are not able to increase the magnitude of the output...
8. ### Why this approximation is correct?

Could you tell me the reason that if pole is close to the imaginary axis, (1) can be same as (2).
9. ### How to get transfer function in real system?

I have a qusetion about getting transfer function in real system. When I solve mechanical engeneering problem, transfer function is always just given. So, Im curious how to get transfer function in real system. I have searched something about that and have found some mechine called spectrum...
10. ### How can I approximate this transfer function?

I dont know how can I approximate this transfer function into this In my book, pole is close to imaginary axis, so It can be approximated.
11. ### What is a interlaced zero in transfer function?

A reading assignment I have read said "By adding a direct feed-through to a collocated system, the transfer function can be modified from containing resonant poles followed by interlaced zeros, to zeros followed by interlaced poles." I don`t konw what this sentence mean. What is the resonant...
12. ### Find transfer function in relation to the disturbance

Suppose you are given a first order system whose transfer function is HP(s) = KP/(TP*s + 1). Now, you want to control this system using a standard P (proportional) controller whose transfer function is HR(s) = KR (a proportionality coefficient). There is also disturbance that acts upon this...
13. ### Finding points on root-locus by hand

Homework Statement [/B] I am trying to answer two questions: 1. Solve part (b) in the image above by hand. 2. What are the differences between transfer function (a) and transfer function (b). Homework Equations cos(Im(s) / Re(s)) = ζ The Attempt at a Solution 1. For part one given the...
14. ### Calculate gain of a transfer function without root locus

Hi, Having a bit of trouble with this question: "Assuming a proportional controller is used, determine the gain to achieve a damping ratio of 0.5, for the following transfer function. Hence calculate the associated natural frequency and oscillation period. G(s) = -4(s+0.4) / s^2+1.6s+14." I...