Transfer function Definition and 341 Threads

Homework Statement http://imagizer.imageshack.us/v2/800x600q90/690/0tab.png I'm asked to find the transfer function and then find the state space representation and seem to be stuck. Homework Equations The Attempt at a Solution My textbook states that for a noninverting...

How do I find the transfer function of damped masses hanging? I know that the transfer function is \[ H(s) = \frac{\mathcal{L}\{y(t)\}}{\mathcal{L}\{x(t)\}} \] where \(u\) is the input which is a force and \(x_1\) is the output. Given the following diagram (see below), how do I find the input...

Homework Statement Generate an open loop u(t) and simulate. Plot x(t) and y(t) \dot{x} = Vcos(θ) \dot{y} = Vsin(θ) \dot{θ} = u I am given initial values. All are 0 except for \dot{x}(0) = V. Homework Equations Laplace Transform Tables The Attempt at a Solution I think I...

Homework Statement Augment the model to include a proportional position controller and derive the closed-loop transfer function. The model is an hydraulic actuator system pushing against a mass. The Attempt at a Solution I think I have completed the first part correctly with...

This is a revision question rather than homework as I have the answer and working. I have attached the block diagram and first part of the answer which explains how to derive the transfer function from first principles. I understand the principles behind this and how the RHS of the equation...

Homework Statement Find the transfer function of an RLC circuilt and the magnitude. (All the impedances are in series) and the Vo is in the R. Vi is the source voltage. Homework Equations The Attempt at a Solution So transfer function of the circuit => Vo/Vi = R/ (sL+1/sC +...

Hi All, I'm new to this forum. Its been awhile since university, so I've unfortuntely forgotten most of my teachings on transfer functions it seems! Basically I am trying to design a 3 stage cascading digital low pass filter. I am sampling an AC waveform and need to integrate the signal. I'm...

Hi All, I'm new to this forum. Its been awhile since university, so I've unfortuntely forgotten most of my teachings on transfer functions it seems! Basically I am trying to design a 3 stage cascading digital filter. I am sampling an AC waveform and need to integrate the signal. I'm getting...

Hello I need to do bode plot.. but i not to sure how to use matlab.. i need this 1 / (a + bs)s num = 1 how to key in the den to get (a + bs)s.. i try different way and i can't get 1/(a+bs)s hope to get help

I have a transfer function L(s) = A(s)/B(s) that I call Ls. However, when defining H(s)= L(s)/(1+L(s)) by %% Ls = -70.6s^2 - 2003 s + 3375 -------------------------- s^3 + 119.6 s^2 + 2806 s %% Hs = Ls / (1+Ls) things go wild. The highest...

Please see attached for problem and diagram. Equations R(S) = input C(S) = Output G(S) = transfer function = 1 / (1+τs) R(S) * G(S) = C(S) Attempt R(S) = input = Kx? C(S) = Outputs = Cx +Kx Kx * 1/(1+τs) = Cx+Kx ***This is a new topic to me***

The problem statement: I have to find the transfer function of a mass spring system. There are two masses in the system and 3 spring. I also have to find the state space representation and the model of the system. I have attached a image of my problem and my work so far. I think I found the...

I have a incoming signal from a analog to digital converter, how do I turn it into a transform function ? so how to turn a graph into a transform function? So want to take the incoming signal and used a fast Fourier transform (FFT). so I will take the incoming signal built a function from...

Hi, Basically I have circuit with an input Vi (s) across a capacitor C which is in parallel with a resistor R1. And these 2 components are in series with another resistor R2 (please see attached drawing). The question states: Show that the transfer function of the circuit is: Vo/Vi...

Hello, Im trying to model an RF attenuator for use in a control system. The control voltage is from 0-2.1V and I applied a step function signal from 0-2.1V and measured the output. I was able to model it as a first order system in the form Kdc / Xs + 1. The issue I'm having is...

Homework Statement Find the transfer function, Vout(s)/Vin(s) The (s) signifies the laplace plane Homework Equations The Attempt at a Solution I'm keenly aware there is an error here (at least from comparing with the answer sheet). Can you tell me where I went wrong?

Transfer function of Mass-Damper-Spring,connected through linkages Hi guys,I have posted a picture of the system I am trying to model in order to obtain its transfer function. My question is: Do the linkages affect the modelling of the system and should I take them into account?Also, is X1 the...

I'm tinkering with a software called LTspice. The user can insert circuits and simulate them. After doing some Bode plots I started to wonder what the transfer function looked like. I usually don't bother about this when I build amplifiers, but this LTspice software got me curious. I looked...

Hi everyone, in the last times, I'm really interested in controls engineering, and I wanted toknow how to find transfer functions of devices, or systems in the real world, let me explain better, for example, in my house i have various dc motors, and stepper motors, since i want to make an...

I'm given the following transfer function: T(s)=\frac{50000s}{(s+50)(s+1000)} and I need to constuct a circuit from it using opamps, resistors, capacitors, and inductors. Capacitors must be 100nF. I'm not quite sure how to start here. I managed to get a time domain version of the transfer...

Why is time constant form of transfer function in control system better than pole zero form ? If a closed Loop transfer function is given to me how should i find D.C gain ?

I'm trying to work out the Transfer function for the 2nd order RC circuit in the attachment below: I can't seem to get the right answer :( circuit: My answer: Please see attachment for my attempt and the relevant information:

I am attempting the question shown in the attachment. It can be seen that the poles are located at -2 ± 3j which expressed in terms of s is (s + 2)2 + 32. This is the denominator, but how is the numerator of the transfer function found? Edit: Looking at the Laplace look-up table I...

I am going through a past paper for an upcoming exam and I want to check that I am approaching this question correctly. H(s) = 1/(s2 + 8485.28s + 36x10-6) Calculate and plot frequency response for 0 rad/s, 500 rad/s, 1000 rad/s and 10000 rad/s. I am under the impression that the 's'...

I would like to find a useful function to predict the output based on the input. I'm trying to figure out how to get the transfer function given actual input and output data. What I've tried is getting a transfer function using Fourier transforms. I'm attemping to do a fft on both the input...

Homework Statement Find the impulse response of a system with transfer function H(S) = (s+3)/(s^2+2s+1) or H(S)=(s+3)/[(s+1)^2] Homework Equations Poles are s1=s2=-1 y = Ae^st + Be^st The Attempt at a Solution In my notes I do not have an answer for the case when there is...

I'm confused by the fact there's nothing in the feedback loop here http://img706.imageshack.us/img706/6075/feedbackloop.jpg For instance, if I had "H1" in the feedback loop I'd do C/R = (Gcs x Gps) / (1+H1) But since I don't have H1... is it simply C/R = (Gcs x Gps) / 1 = Gcs...

Homework Statement I want to find the overall transfer function of Instrumentation amplifier with a DC-Suppression filter. I know how to calculate the TF of a normal Instrumentation amplifier. But when feedback is given from the Filter to the IA, I couldn't find it. Homework Equations...

I need to find the transfer function from the attached circuit schematic. V_DD = 5V; R1 = 200kΩ; R2 = 300kΩ; and C1 = 900nF I used nodal analysis to attempt to get Vout over Vin but alas ended up with an equation like this: \frac{Vout}{Vin} = \frac{-j}{120kΩ*ωC} +...

Let's say I simulate a simple filter in simulink and I want to see the transfer function graph (bode plot) of it. What do I do to get Vout/ Vin? I tried using the "PS Divide" Block and divide the output voltage and the input voltage, but that didn't work. Could anyone help me out here? This...

control system -- open loop transfer function and open loop gain Is there any difference between open loop transfer function and open loop gain ?

Hey guys. I was wondering if anyone could give me some hints or help me understand well how to get transfer functions off bode plots. Here is an example I need to solve: http://i1226.photobucket.com/albums/ee410/jean28x/bodeplotcalc.jpg

Hey guys. I'm doing some homework for my circuits class and was wondering if anyone could help me with this question. How do I determine the value of ω will the magnitude of H(jω) be maximum?? In my case, the magnitude of the transfer function is (R/L)/ [sqrt((R+RI)/L)2 + ω2)]

Homework Statement For my particular circuit I have found my transfer function already, which comes out to be: H(jω)= R / [R+(1/jωC)+jωL] I am now supposed to express it in polar form. I am confused on how I express such an expression in polar form. Could anyone give me some information on...

Hi, I am undertaking an undergrad design project and want to ensure I'm doing this correctly, I have derived the ODE as shown below; A*Y = M*X'' + (B+C)*X' + D*X Where A,M,B,C,D are constants. By taking the Laplace transform, I get; A*Y(s) = M*s^2*X(s) + (B+C)*s*X(s) + D*X(s)...

Hi, I am undertaking an undergrad design project and want to ensure I'm doing this correctly, I have derived the ODE as shown below; A*Y = M*X'' + (B+C)*X' + D*X Where A,M,B,C,D are constants. By taking the Laplace transform, I get; A*Y(s) = M*s^2*X(s) + (B+C)*s*X(s) + D*X(s)...

Homework Statement I made a quick drawing of the circuit, and I apologize because I am not good at using the computer to draw circuits! Anyway, in this particular circuit R=200Ω , and L=5mH. For part a I am supposed to find the Transfer Function H(jw) = (Vout/Vin) in terms of ω. For part b...

Homework Statement x[n] = anu[n] A discrete system y[n] = −1/2y[n − 1] + x[n]; where x[n] and y[n] in- and output of the system, respectively. Find the system transfer function H(z), and sketch its zeros and poles in the z-plane Homework Equations u[n] is the unit step function...

I have attached a picture of the circuit in which I am attempting to build a transfer function for, however, as you can see it is not a normal integrator. Normally it is evident which resistor is the resistor that is part of the series connection to the op amp. When I do the KVL on the...

Homework Statement A Control system for a spacecraft platform is governed by the following equations: d²p/dt² + 2 dp/dt + 4p = θ v1 = r - p dθ/dt = .6*v2 v2 = 7*v1 All the variavles v1, v2, r, p, θ are functions in the time domain Determine the system transfer function P(s)/R(s) Homework...

I'm trying to determine the transfer function to a simple circuit, see pdf. Is the simplest way to describe H(jω) by finding Y(jω) and U(jω) in H = Y/U. Further using the impedances for each component. If so, is each function Y(jω) and U(jω) determine by 'walking' through each impedance path...

Homework Statement f(s) = f(\sigma + j\omega) = \frac{1}{(1+s)^2} Find the magnitude and phase angle of f(j\omega) Homework Equations s = j\omega is a substitution you can make, but I'm not sure if you are supposed to apply that here The Attempt at a Solution I tried substituting \sigma +...

I have an image taken with a camera. I know the f/#, focal length, CCD characteristics, and an approximate distance to my scene. I computed the modulation transfer function but I am trying to map the pixel space to cy/m and having trouble. I essentially want to determine the cutoff spatial...

This is the circuit that I'm trying to work with. Essentially, as far as I can see it's a voltage divider connected to a voltage follower. I have the output of the first op amp as: H(s)=S1/In1= 1/10 = 0.1. However I'm not sure if there are how to obtain characteristics of such a simple...

In many books i saw that open loop transfer function is given by KG(s)H(s) , where G(s) is forward path gain and H(s) is the feedback gain. But according to the definition of open loop it does not contain feedback , then why there is a term of H(s) ? reference url...

Homework Statement Find the transfer function Vout(s)/Vi(s) of the circuit Homework Equations Zr = R; Zl=Ls; Zc=1/Cs; KVL; KCL The Attempt at a Solution I have to find the transfer function of the complete circuit I send.For this, I divided the all circuit into small pieces.I tried...

Regarding the transfer function of the inverter,why do we take the transition region between the slopes of '-1'.Is there any special significance for this slope in this context of inverter. Thank you all

I know the transfer function = Laplace{output}/Laplace{input}, while gain = output/input, but why is that matter? The ratio will still be the same (or is it?). And if there is a distinct different, is the result of the mason's formula using signal-flow graph a gain or a transfer function...

Homework Statement What is the transfer function described by this bode plot: http://img96.imageshack.us/img96/4775/capturegib.jpg *The answer is 3s, but I don't know where it comes from. Homework Equations None The Attempt at a Solution Correct me if I am wrong. A bode plot is a...

Homework Statement Vs=7200V 0 degrees ZLine=2Ω+20jΩ ZLoad=138Ω+460jΩ XC=unknown capacitance (omega not given) Find the capacitive reactance when, place in parallel with ZLoad will make the load appear purely resistive Homework Equations conj(Zline) =2Ω-20jΩ (for max power...