Transfer function Definition and 341 Threads

(edit: sorry I made a mistake in the thread title. It's the output that isn't a factor of every component in the equation, that is giving me trouble) Hi! I'm new here, and any help would be greatly appreciated. Homework Statement I am modelling a mass-spring-damper system in which the...

Hey, say I have a transfer function, G(s) = s/(6.25+s) How would I calculate the time constant for this transfer function? Also, if I wanted to sketch a bode plot for this transfer function, would I split it up into s* 1/(6.25+s) ? Thanks in advance.

How do you work out the numerator of a transfer function? -------------------------------------------------------------------------------- G(s)= 60Ka / s(s+2)(s+6) what is the numerator you have to use in MATLAB its givin me a headacheeeee

If I have a transfer function, and I need the frequency response of it, how do I go about doing it? Is there a easier way than inverse Laplace transforming it, then Fourier transforming that? Thanks

This isn't really an electrical engineering question, bit I have other EE-related questions about it. First off, If you are given a system's transfer function, is it unique? Or can other different functions have the same transfer function. Second, does the Transfer function have anything...

Homework Statement ---Resistor1=47K ohm---------------------------------------------- | | | + | | |...

This question is more about math than anything, but it comes up in LRC frequency analysis so much that if anyone knows it, its you guys. I am trying to find the values of a resistor, capacitor and inductor. The only knowledge I have is that the three elements are connected in series and the...

Hi,how can i convert the following transfer function to state space form by hand. H(s)=(s^2+27s+50)/(2s^2+27s+50) Any help will be appreciated!

I want a MATLAB code to draw the root locus for a characteristic equation of a transfer function of unity feedback, also what is the range of K that keeps the system stable , here is the characteristic equation: s^5+600s^4+50000s^3+ks^2+24ks+80k=0 please help, thanks in previous

Hi everyone - I'm trying to figure out this "tack hammer" method of determining the impedance and transfer function of an arbitrary length RCL ladder filter. This method is briefly explained in the second chapter of Wes Hayward's book "Introduction To Radio Frequency Design," however it is gone...

Hi everyone! I'm stuck with an assignment in control systems and I need some opinions on what I've got so far. Homework Statement The problem relates to an RC circuit as displayed: The task is to form the differential equation and transfer function for the circuit, with V0(t) being the...

Hi I have a transfer function< I want to draw a bode diagram in MATLAB, the transfer function is for a simple HPF when I use MATLAB to find the magnitude and phase shift it giving a wrong diagram, the transfer function is: =RCs / (RCs + 1) I want to know how shoud I have to manipulate...

Hi, I am not looking for the answer, i just want to know how i go about solving it Ive got to find the transfer function of this equation: http://img374.imageshack.us/img374/8149/laplaceeq8.jpg I know that the transfer function G(s) is found by: y(s)=G(s)x(s) As hard as i try i cannot seem...

Homework Statement A band Pass filter is given with the following configuration, R-Resistor, C-Capacitor: See Attatchment 1 - Circuit.jpg https://www.physicsforums.com/attachment.php?attachmentid=16241&stc=1&d=1225999965 R1 = R2 = 10 kΩ C1 and C2 are unknown Cut off Frequencies...

Homework Statement Let F(z) = a0 + a1z-1 + a2z-2 denote the composite transfer function of the transmitter, channel and the matched filter in this ultra wide band system. Find a two tap digital equalizer Heq(z) = w0 + w1z-1 that approximates an IIR zero-forcing equalizer for F(z)...

I have a few questions regarding the transfer function of a SMF. I'm using the below equation to simulate the effect a single mode fiber (SMF) has on the optical field after some distance \textit{z}. \begin{equation} S_{out}(\omega) = S_{in}(\omega)\exp\left...

Homework Statement M\ddot{X}(t)+c\dot{X}(t)+kx(t) =f(t) Initial Conditions: x(0) = .02 \dot{X}(0)=0 -Use laplace transform to convert the ordinary differential equation in the time domain to an algebraic equation in the frequency domain. -Derive the transfer Function G(S) = \frac{X(S)}{F(S)}...

Hey all, I'm a new member, so nice to meet you all! Homework Statement I'm currently in the process for deriving the Transfer Function H(s) and H(jw) (w read as omega for angular frequency) for http://www.ebfreedom.com/fwajx/cDiag.jpg" I have taken several approaches but have not been...

Hi, how can i convert a transfer function to state space form by hand: e.g.; G=10/(s+10) ??

Hi there. I'm wondering if anyone can help. I've got a few past papers I'm working on at the moment and there are a few questions I don't even know where to start with. Here's one: a. Write down the transfer function for a time delay and then evaluate its corresponding frequency response...

Dear experts, I'm thinking if there are any free tools available for download which are capable of generating transfer functions based on a drawn amplifier circuit?

Homework Statement Given the transfer function of a linear, time-invariant system H(z)=\frac{z^2+5z}{z^2+5} compute the impulse response. Homework Equations We are supposed to compute the inverse z-transform with partial fraction decomposition but the problem here is the irreducible...

Homework Statement A pressure measurement system uses a sensor that converts pressure into voltage according to the transfer function, Vp = (.5)(square root of P). This voltage is then converted into a current. As pressure varies from 0 - 100 psi, the current varies from 4 - 20 mA. A. Find...

Anyone know what a car's transfer function is, ie the dynamic response written as differential equations and diagrams, so a controller can be designed for it (as in the cruise control feature in some luxury cars)? I mean, many of us are familiar with the torque curve, ie engine torque as a...

Homework Statement We have a series RLC circuit with x(t) as the voltage source. We are to find the frequency response function H(w) from the input x(t) to the output y(t)=Vc(t) - ie the voltage across the capacitor. Homework Equations The Attempt at a Solution My answer...

Homework Statement http://img252.imageshack.us/img252/410/prelab4problem1tz5.jpg Find transfer function of the circuit above (i.e. - \frac{V_o(s)}{V_i(s)}) \frac{V_o(s)}{V_i(s)}\,=\,\frac{a_1}{s^2\,+\,a_2\,s\,+\,a_3} 1) Find a1, a2, a3 in terms of R, C1 and C2 2) Given that...

Hi, I'm trying to enter this into matlab: G(s) = -1/((C1+C2)s) How can I enter this into matlab? Thanks!

Homework Statement Linear Control Systems - 2006 past paper If I wanted to design a controller with a transfer function of the form \frac{5(s+0.5)(s+2)}{s(s+10)} How would I go about doing so? Homework Equations A constant gain is given as a constant A differentiator...

Hi, Is it possible to calculate the gain of a closed loop system with Noise? Here's a diagram describing what i mean: http://img206.imageshack.us/img206/8955/cltfmh8.png I've got the following so far: Vout = \frac{A1A2Vin}{1 + A1A2B} + \frac{AVn}{1 + A1A2B} But the question is...

Homework Statement Find a transfer function: \frac{V_o(s)}{V_i(s)} = \frac{Z_2 (s)}{-Z_1(s)} Homework Equations Z_1(s) = R_1 + \frac{1}{C_1s} Z_2(s) = \frac {\frac{R_2}{C_2s}}{R_2 + \frac{1}{C_2s}}final solution should be: G(s) = \frac{V_o(s)}{V_i(s)} = \frac{C_1C_2R_1R_2s^2 + (C_2R_2 +...

Homework Statement Write the differential equation that is equivalent to the transfer function given below. Plot y(t). Assume that r(t) = 4t^{2} Y(s) = 2s^{4}+3s^{3}+2s^{2}+s+1 R(s) = 2s^{5}+3s^{4}+2s^{3}+2s^{2}+4s+2 The transfer function is Y(s)/R(s). Homework Equations I'm a...

I have only basic MATLAB skills and need to input to transfer functions into MATLAB to determine a closed loop transfer function! But cannot find any simple books or guides to show me how to input the functions! One of the transfer functions i wish to input is: G(p)=1/s(1+0.8+0.04s^2) Some...

A circuit was constructed with an inductor, capacitor, and resistor all wired in series. A sinusoidal input signal was put through the circuit and the output voltage was measured across the resistor as a function of the input angular frequency (ω). My task is to find the transfer function of...

I have two coupled harmonic oscillators: \ddot{x}_{1} = -2kx_{1} + kx_{2} + f(t) \ddot{x}_{2} = kx_{1} - kx_{2} Mass 1 is at position x_{1} and subject to force f(t). I take the Laplacian of the first equation and solve for X_{1} to get X_{1} = \frac{ F(p) + k X_{2} }{ p^{2} + 2k }...

given t(s)= [2(s^2+9.32)] / [s^4+1.322s^3+0.976s^2+.750s+1] how do you calculate the reate of attenuation increase in db per decade at high frequency? Determine the gain in db at dc. To do this, just replace s=0 and then do 10log(result) right? Also, at which freq is the attenation...

I am taking a control class right now, which I find quite interesting. I had an idea for a senior project where I'd design and build a machine that allows one to hook up a motor and it will compute the torque/voltage transfer function or the angular speed/voltage transfer function of an...

Just a quick question about some notation used in my book. The proper form of the transfer function used in my book is as follows: \bar H(j\omega) = \frac{K_0(j\omega)^{\pm N} (1+j\omega\tau_1)(1+2\zeta_3(j\omega\tau_3)+(j\omega\tau_3)^2)\cdot\cdot\cdot }{(1+j\omega \tau_a)(1+2\zeta_b(j...

Suppose you have two RC-filters as shown below. Ignore the #'s, they are for spacing purposes. o---R1--------o # # # # # | # Ui(1) # # C1 # Uo(1) # # # # # | # o--------------o o---R2--------o # # # # # | # Ui(2) # # C2 # Uo(2) # # # # # | # o--------------o Calculating the...

This post is cross listed at the below url https://www.physicsforums.com/showthread.php?t=73985 I'm attempting to use MATLAB to solve an electrical engineering problem dealing with controls... I'm trying to design a transfer function which will control a servo motor using what is often...

Ok, here is the question. I have a circuit that looks like a high pass filter except it has an inductor instead of a capacitor. There is a 100 mH inductor and then after that a 20 x Pi Ohm resistor. The question asks me to find the transfer function of the circuit, and then to sketch a...

So I have a midterm on Bode Diagrams and Root-Locus on Thursday...and I can not do either. At this point I am only focusing on the Bode diagrams because they are a bit easier and I want to master them now so that I can devote the rest of my time to the Root-Locus. Say I have the transfer...