Transfer function Definition and 341 Threads

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...

after substituting in your omega, can you multiply a transfer function by an input signal's amplitude, and expect the result to be the amplitude of the output? (once converted to polar) This might be a shortcut way to find your amplitude when you don't really need a representation of the whole...

Homework Statement Control systems subject. Have a DC motor setup on a difference op-amp, then with gain, and the axel moves a wiper on a pot used for feedback. I understand the concepts reasonably well enough to complete the assignment. I'm using MATLAB scripts to approximate parameters...

Homework Statement Simplify the block diagram. I uploaded a single image as it's the easiest way to do this problem. Homework Equations None at this stage. The Attempt at a Solution Please see the image.

Homework Statement According to my textbook: The LED transfer function ##H(\omega_m)## is defined as: $$H(\omega_m) = \frac{1}{1+j\omega_{m}\tau_{c}}$$ The 3-dB modulation bandwidth ##f_{\text{3 dB}}## is defined as the modulation frequency at which ##H(\omega_m)## is reduced by 3 dB or by a...

Homework Statement https://i.imgur.com/WPAKuf4.png seeking G(s) = \frac{\theta_2(s)}{\tau(s)} Homework EquationsThe Attempt at a Solution What does it mean when the viscous drag is parallel to the axis of rotation?[/B] It also turns out that this system needs two equations. I can sort...

All, I need help deriving the Transfer Function of this circuit from first principles. http://i66.tinypic.com/24v3z9s.jpg

Homework Statement Homework Equations Manson method The Attempt at a Solution I used Manson method. I am not sure this is the best result. can someone use MATLAB or some software to solve this quickly ??

Homework Statement I am asked to decide which one of these is the transfer function of a bridge rectifier I was thinking D, but my friend says D is for when there is only one diode. Can anyone explain what the right choice is and why? This is not homework, rather preparation for my final.

Homework Statement I need to find the transfer function of the attached circuit (this isn't a homework question so I don't know if there's even a solution, but last time I posted this type of question on the EE forum, it was redirected here)Homework Equations I know it needs to be eventually...

I've been looking for that in various applied electromagnetics books but none of them cover that subject even on the internet the only website I saw it mentioned was in this forum I guess I'd like a book with a level a little above for example cheng or balanis

〖 mod note: moved from technical forum, so template is missing 〗 〖 mod note: click on thumbprint image to see legible image 〗 I was wondering if anyone could provide some more insight as to how to find the current through Rc. The first picture TRANSFER1 I can find the current Ic through Rc...

Homework Statement By Wien bridge oscillator (abbreviated as WBO below) I refer to this circuit where the op-amp is assumed to be ideal and the output is the voltage drained from the upper end of R3. What confuses me is that I hardly find a reference which explicitly states that a WBO has a...

Homework Statement Find the closed form of the impulse response of the system y[n] = 7y[n-1]-12y[n-2]+x[n] using the peel away and guess method. Ie, by using Python code to find the geometric ratios and amplitudes of the outputs as n grows large, then calculate residuals, and find the...

Homework Statement I have a question related to taking the logs of transfer functions, getting the individual Bode plots of each subsequent factor, and adding those plots graphically. I'm working from Fundamentals of Electric Circuits, 5th edt. Let me start with the following screen capture...

Homework Statement Problem statement is attached... Homework Equations my attempt at solution is also attached... The Attempt at a Solution One of my assumptions was to treat the inlet concentration as a disturbance variable, and inlet flow rate as a manipulated variable...However, as I try...

Homework Statement Homework Equations The Attempt at a Solution I have done question 1.18 and I understand it completely. However, for question 2.5, I do not understand how they got G(s)? Why isn't the G(s) in question 2.5 the same as G(s) at the bottom of question 1.18? I asked my lecturer...

The transfer function of a linear system is known in the sinusoidal frequency domain. It is given in its final form as a complex function of the angular frequency ω (not jω ). How to obtain the step response? Thanks in advance.

I have a qusetion about getting transfer function in real system. When I solve mechanical engeneering problem, transfer function is always just given. So, I`m curious how to get transfer function in real system. I have searched something about that and have found some mechine called spectrum...

Homework Statement Hi I am trying a question from an old textbook. I am required to find the transfer function with respect to the input frequency and the output frequency. Homework Equations For a closed-loop TF, then TF = G/(1+GH) but this does not involve additional inputs as in this...

I don`t know how can I approximate this transfer function into this In my book, pole is close to imaginary axis, so It can be approximated.

Homework Statement Here is the transfer function of a buck converter I derived: What I need to do next is obtain equations for w0 and ζ. I know how to do this for equations that follow the general form: But in this case I just can't figure out exactly how to do it. How do I find a...

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...

Hi , I was hoping you could look at this link and let me know if I have interpreted the method correctly http://i.imgur.com/5axTiBN.jpg As I understand it the transfer function has had s replaced by jw but also the top and bottom are divided by 10 - This is so that the brackets on the bottom...

I am trying to slowly learn control theory. I know how to find transfer function from a given differential equation of a system e.g mass/damper system. But what is the term 's'? Is that the frequency of inputs? In real life a mass/Spring damper would be a cars suspension. What will be a typical...

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...

Hello everyone. So I have been tasked with an interesting take on what seems to be a classic problem, that is, designing a PWM controller for a single phase inverter. Now, in all the books I've read this problem has two control loops, an inner current loop and an outer voltage loop. The...

Homework Statement to prove vo=(2R2/R1)[1+R2/Rv][vI2-vI1] and Rv is variable resistor Homework EquationsThe Attempt at a Solution upper: 2 is 0V? and then Rv,2R2 form a t-network? bottom:3 is 0V? if not how can i calculate?[/B]

whu at w=100 the effect of c0 and c2 will not count also w=200 the effect of c1 and c0 will not count?

Homework Statement If I have a closed loop second order transfer function such as: $$\frac{10-s}{0.3s^2+3.1s+(1+24K_{C})}$$ Can I still use this formula for overshoot (when a step input is applied) ?: $$\frac{A}{B}=e^{\frac{-\pi \zeta}{\sqrt{1-\zeta^2}}}$$ Where B is the step input size I...

Homework Statement Excel data for an assignment I'm doing has spit out a curve from some experimental data as shown here: http://i.imgur.com/KcJyEEj.png I'm wondering if there's a nice way to put this as a transfer function in the form of Y/X or something similar Homework EquationsThe...

Homework Statement Given that the expected value of a function is equal to the expected value of the convolution of that function f with a transfer function g E(f) = E(\widetilde{f}) prove that the following holds \int^{+\infty}_{-\infty} g(t) \, dt = 1 Here f is the function and g is the...

Hello, I got the following diagram, shown below, and I have to derive its transfer function. I think I have a general misunderstanding about the transfer functions. What I think it is, is: output/input basically. As input is the whole block of things that affect the output. This is the system...

Homework Statement [/B] I need to work out the open loop transfer function of the above. I've drawn it on word so it's not great; the + and - represent a summing junction. Homework Equations Everywhere I read, I find a different definition of open loop transfer function. I see G*H is an oft...

y(t) = u(t - a) . x(t) u(t) is a unit step function. I have to find Y(s)/X(s). Do I have to do convolution in frequency domain?

Hello, I have a laplace domain system transfer function. I know I can use (say Matlab's lsim()) to simulate the output for any arbitrary input. Is there any way (numerically in Matlab or analytically) to determine the input necessary for a desired output time signal?

Hi guys, I'm new to this engineering problem solving and I just wanted to ask for your help getting a transfer function of the input voltage Uin(t) and the output voltage Uout(t).1. Uin(t) = U_R(t) + u_out(t) 2. i(t) = i_L(t) + i_C(t) 3. u_r(t) = R_i(t) 4. u_out(t) = L d_iL / dt 5. i_C = C...

Homework Statement The impulse response ##h(t)## of a linear time invariant system is real valued. Where * denotes the complex conjugate, the transfer function satisfies: $$H(- \nu) = H^* (- \nu)$$ Use this result to show that for such a system, given the input ##f(t)= \sin(2 \pi \nu t)##...

Homework Statement Homework Equations The Attempt at a Solution

Homework Statement Sketch output respons of system who have a input is a unit step (Amplitude of the system = 1)Homework Equations · Damping factor = 0,5 · Gain factor = 2 · Natural angular frequency = 4 Rad/sThe Attempt at a SolutionI have: 1. Draw a step respons in a x-y axis 2. And...

Hello guys, I'd just like to ask how can I formulate transfer function of second order differential system when I don't have zero initial conditions? the equation is = y''(t) + B/m*y'(t) + k/m*y(t) = g y(0)= -L don't care what parameters mean .. it's supposed to be solved in general Thank...

I have a circuit where after a deduction of the impedance, I have found the output to input voltage relation as Vout/Vin = 2 - 3i Can anyone please let me know how can I can convert it to s functions (such as G(s) = 1/1+s) in Matlab so that I can get a transfer function? I would appreciate...

Homework Statement Find Io(s)/Ii(s) Homework Equations Basic KVL laws. The Attempt at a Solution My idea is to start from the RHS of the circuit until I get a relation between Io(s) and Ii(s). Actually I stopped at this point, I wondered whether my approach is appropriate or not since...

Homework Statement The first order ramp unit response is shown in the graph below. Determine: 1. The transfer function. 2. Plot the error function e(t) then determine its maximum magnitude and the time http://s24.postimg.org/cdbhqm80j/Capture.png Homework Equations G(s)=(1/T)/(S+1/T) ... G(s)...

Hi all, hopefully this is in the correct section here. Any help is really gratefully received. 1. Homework Statement I have a coursework, one question asks us to use a 2nd order approximation of the transfer function to..."estimate the settling time (5% of the settling value of output, peak...

Hey guys, need help with a problem here. Sorry for the quality of the image. I understand that above the op-amp, is the active low pass filter. So if I were to figure that out with respect to V2 and Vout, it would just be Vout/Vs = -(Zf/Zs) where Zf = (Rf/(1+jwCfRf)) Zs = Rs But I...

Homework Statement Hello everyone! To simplify, I have a system whose transfer function looks like this: G = (s^2-1) / (s^4-s^2-1) It's unstable and I have to find a way to stabilize it using PID controller and/or lead/lag compensators. Homework EquationsThe Attempt at a Solution So far I...

Homework Statement In a gas pipeline a mixture of hydrogen in air is transported. Usually, the hydrogen content of the gas is 1 volume %. It is well below the lower explosive limit as a hydrogen / air mixture is 4 % by volume hydrogen. gas pipeline is positioned a detector that activates an...

Homework Statement Homework EquationsThe Attempt at a Solution I don't know if I am just stupid, but I can't see how to make this manipulation. I tried factoring the denominator $$ g_{p} = \frac {-1.43}{(s-1.399)(s+5.086)} $$ Then take out -1.399 and 5.086 $$ g_{p} = \frac...

Homework Statement Homework EquationsThe Attempt at a Solution I don't think you need to see the problem to figure this one out, if needed I will post it (takes up a lot of space in the thread). I know for a PI controller, the controller transfer function is given $$ g_{c} = k_{c} \frac...