Transfer function Definition and 341 Threads

i need a help to obtain transfer function for a tank, where a heater is placed. the liquid temperature should be maintained at 45C . no inlet or out let. how to obtain the transfer function?? for analysisng about the controller?

My question is a lot simpler than the whole process, but I've reached a plateau and need a push. My issue is that I want to take 2 curves, one in the XZ-plane, the other in the YZ-plane, combine them and project them down to the XY plane, but make it topographical (i.e. contain Z values given an...

Hi, I have question where I am asked to find the % overshoot of a system based only on its transfer function. T(s) = 15(s+2.1) (s+2)(s2+4s+29)(s2+2s+50) I'm assuming I need to use second order assumptions and then find the damping...

I am trying to build a high frequency analog filter. I don't have the specs quite yet, but I do know how to create the transfer function. The trouble is, once I have that, how do I go about making this into a physical circuit? All the online stuff I can find is either digital or low frequency...

Please how do i transform this transfer function of a highpass filter H(w) = jwR2 / [ (R1R2/L) + jw(R1 + R2)] to H(w) = [R2/(R1+R2)][jw/(jw+wc)] wc is the corner freq. The circuit consists of a voltage source Vs(t) ,R1 in series with R2||L,Vo collected on R2. Thanks.

Homework Statement Transfer functions of the continuous compensation links are given as follows. Find the impulse transfer functions of the digital compensation links using the impulse invariant method. \frac{a}{s+a} I don't know how to solve the problem correctly :cry: Homework...

I'm trying to find the Transfer function of the circuit below so that I can draw the Bode plot for it. I chose to use Laplace because I think it made it a little simpler. My equations so far: KVL of Left Loop: EQUATION1 Vs=I1(900+1800)-900I2 KVL of Right Loop: EQUATION2...

Hello! I have a problem to get a transfer function from my circuit(this circuit is marked with question sign "?"). For upper circuit this function is calculated...this can be seen in image. I tought that it would be easier to get transfer function by using matrix, so then W(s) =...

Homework Statement Given transfer function : H(s)=Vo/V1=(10/s)/(4+0.4s+(10/s)) and the input voltage is given as V1=10(u(t)-u(t-0.1))V. Use the convolution integral to find Vo for t>=0.1 Homework Equations convolution integral..its hard to write and laplace table The Attempt at a...

Hello, I was trying to derive the transfer function of a simple inverting op amp topology, incorporating the output impedance, Ro, of the non-ideal op amp, to see how it, when combined with a load capacitance can induce oscillations (or at least ringing). I haven't been able to get a valid...

Homework Statement I have the transfer function: for the circuit: The component values are know, and are: R1 = 47kΩ R2 = 4K7Ω C = 10nF Homework Equations The Attempt at a Solution I have derivied the transfer function but have become stuck on plotting the bode plot. I understand...

I'm given the following system: \frac { 3s+0.5 }{ { s }^{ 3 }+3{ s }^{ 2 }+8s } I'm supposed to find the steady state error of the system by plotting the step and ramp responses, and then find the value when s tends to infinity. Here is the MATLAB code: sys1 = 3 + tf(0.5.*[1], [1...

Is this transfer function unstabile? Spoiler: This is a feedback control system related issue I am trying to sketch the bode plot of the following transfer function but I can't find a solution. I should use 20log( unknown / 3 * 10) to find where the magnitude starts. G(s) = (s^2+4s+25) /...

Hi, I am trying to derive one transfer function for a system, but got stuck at a point. I want the solution to the ratio V_o(s)/V_g(s), the transfer function. V_o(s) = [a*L{(V_g)^2} - b*L{V_o * (V_g)^2} - c*V_g(s) - d/s]*z(s) In the following equation, I have: s-> lapace transform...

I have created a mock up of a humidity chamber which i will soon be integrating into a temperature chamber for undergraduate project. I am confused on how i can control the system. I have currently a humidifier with a relay built in, this relay is going to switch on and off from a PWM signal...

So I am suppose to solve for the transfer function of the circuit i have attached. First I would find the V_out at the resistor. This is done by V_in=I(jwL + 1/jwC + R) Then the transfer function is: H(f) = V_out/V_in = R/(jwL + 1/jwC + R) Now I need to find the transfer function by...

Hi everyone! I want to design a robust controller for a system which is driven by a PDE. I need to acquire its transfer function in 's' parameter which means it should be transferred by Laplace transformation. I know that the result transfer function will be an infinite series of transfer...

Homework Statement What will be the transfer function in form of I2 / V1 of this circuit http://img813.imageshack.us/img813/198/6… 2. The attempt at a solution here is my coding but it shows incorrect answer, but after doing f=e/d it shows incorrect answer (the answer doesn't match with the...

Homework Statement I am given the transfer function H(s) = 10/(s(s^2 + 80s +400)) where s = jω [j is the imaginary unit i] and I am trying to get it into its magnitude and phase components. The Attempt at a Solution I rearranged it to 1/(40jω(1+ 4jω/20 + (jω/20)^2)) which is the standard...

Homework Statement Given transfer function H(s)=s^2+4 and input x(t)=sin(2t), find the ouput y(t) in time domain, and show whether bounded or unbounded. Okay, so I know L^{-1}[sin(2t)]=2/(s^2+4)=2/[(s+j2)(s-j2)] and that Y(s)=H(s)X(s)=2 Therefore, y(t)=2\delta{(t)} However, I am a...

I am trying to solve the transfer function of a circuit. I noticed in the explained notes provided by the teacher, he deduced certain IV characteristics using KCL. The KCL on the node attached to Vout did not consider the output current running to Vout, and instead only incorporated the currents...

Would it be possible to get the Transfer Function of a System if Open Loop Gain Margin and Phase Margin are known.

hello, please i need ur help. i want to draw this transfer function m = tf ([1,0,1,0],[2,0,1]) in MATLAB and i want the y-axis to be the amplitude and x the frequencies. This is not Bode because i want the amplitude to be linear and not log scale. thank u for your help

http://img803.imageshack.us/img803/7417/85681304.jpg At least so far...

Hello. I have been given a transfer function for a digital system, and I need to find the difference equation for that system. I have attached a pdf with my work. I would be grateful if someone could take a look at it, and see if I am along the right lines. Thanks in advance, and happy...

Transfer function of flow measurement system HELP! 1. I have attached the question, which is to derive the transfer function of a volumetric flow measurement system... 2. I know of the following relevant equations: F = Ma = MD^2.x Flow f = area x velocity and f through a...

During a basic lecture about system design the transfer function H(s) was discussed. The question was raised why the letter 'H' is used for this... Sounds weird, but I did start to think about it... Indeed in many books and publications the letter H (besides sometimes G(ain)) is used to...

Homework Statement Find the transfer function and the impulse response for the system: y'(t) + y(t) = x(t) x = {1 if 0<=t<1,0 1<=t} Homework Equations d/dt y(t) ~ sY(s) -y(0) The Attempt at a Solution I transform into the laplace-domain: sY(s) - y(0) + Y(s) = X(s)...

Trying to get the hang of transfer function. Did I get it? http://img24.imageshack.us/img24/5260/ssketch.jpg

I am trying to use MATLAB to obtain a transfer function, for my Controls class. I will be honest, I have no experience using MATLAB, but our professor insists on us using it to find the transfer function. MATLAB is not a prerequisite for this class. Before I start attempt to find my transfer...

Homework Statement The question gives a transfer function. and we are asked to put it into pole zero form and then we are asked to sketch the positions of the poles and zeros of the system on the complex plane and then sketch the impulse response corresponding to each pole. i have...

Homework Statement I need help finding the transfer function for the attached image. Homework EquationsThe Attempt at a Solution I combined the 1/6F cap and the 1 ohm resistor into a single impedence. I know the AV of the opamp is -0.5/(6s+1). After that I am stumped. Is there a name of...

Hi all, New to the forums here, but I've got a question for you guys: I've ran into this rather peculiar circuit. In all the circuits I've seen (as far as transfer functions go), Vout has always referenced ground (e.g. one node of Vout is ground); in this one, however Vout is across an...

Homework Statement I have to find the transfer function of a linearly and ideally operating OP Amp. http://i.imgur.com/u3f6E.jpg Homework Equations The Attempt at a Solution I know that the current through the capacitor, R1, and R2 is the same, so i=C(dv/dt) = Vin/R1 =...

1. Find the transfer function of the following circuit. The circuit has been included as an attachment. I have tried using node voltage, which leads me to this equation: (V1 - Vi)/R + V1/C + (V1-Vo)/(R+C) = 0 *V1 is the voltage of the essential node on the top center of the circuit...

Homework Statement I am constructing a Bode plot from a given transfer function. I having trouble because I am unsure how to rewrite the transfer function in the proper form. What makes this transfer function particularly tricky for me, is that there is no "jω" in the numerator, just ω^2...

Hey guys, I recently had a quiz on Circuit is attached in photo below. T(s) = (A)(s/s+20)*(s/s+200) **All values of R in the circuit attached are 2000 ohms. and C1>C2 a. find the mid-band gain A. I do not know how to start this question... Can anyone give me an idea of where...

for a given spring/damper system the equation of motion is: [PLAIN]http://img600.imageshack.us/img600/2140/equation1.png where x is the displacement of a mass from a fixed point d is a damping constant L1 and L2 constant lengths k1 and k2 are 2 spring constants...

Homework Statement The dynamic behavior of a pressure sensor/transmitter can be expressed as a first-order transfer function (in deviation variables) that relates the measured value Pm to the actual pressure, P: Pm'(s)/P'(s)=1/(30s+1). Both Pm' and P' have units of psi and the time constant...

Homework Statement Complete the circuit in the figure in order to get a transfer function as: H(s) = k*[s(s^2+10^10)]/[(s+10^3)(s+10^5)(s^2+1.41*10^5s+10^10)]. The Attempt at a Solution If I split the circuit in four stages: H1(s), H2(s), H3(s) and H4(s), I obtain: H1(s) =...

I don't understand why always we use open loop transfer function G(s)H(s) to draw the root locus. can somebody please clarify my doubt. Thanks in advance.

Homework Statement Calculate the transfer function, H(s) = Vo(s)/V1(s), of the given circuit.The Attempt at a Solution I see there is an inverting amplifier with gain A = -10. However, I don't know how to complete the analysis with this ideal transformer. How can I substitute it? Thank you.

Homework Statement Calculate the output vo(t) if the input is the signal vin(t) shown in attached figures. The Attempt at a Solution I've calculated that ransfer function transmission line: H(s) = Vo(s)/Vin(s) = exp(-j*gamma*l), where gamma = -j*omega*sqrt(LC). However, tau = sqrt(LC)*l...

I am having trouble with some of my homework. I am not quite sure how to find the damping ratio from a third order system when the transfer function (of s) is the only information supplied. Could anyone help me with this? I would like a method that would work with any nth order system...

Hi guys, Need a little help with an example my tutor and I are trying to work through. We're converting a dynamics system from a state space representation to a transfer function. This is where we are at so far... [s^2 + (C/Mb)S + (K1/Mb), -((C)S + K1)/Mb; -((C)S + K1)/Mw, S^2 +...

for a system defined as y(n) + a1y(n-1) + a2y(n-2) = bx(n), for what values of a1, a2, and b is the system realizable? i know that the transfer function is obtained by the following H(z) = Y(z)/X(z) H(z) = b/(1 + a1z-1 + a2z-2) H(z) = bz2/(z2 + a1z + a2) i also know that the poles have...

so here is an LTi system, i/p is given by: (1/k1) exp(-t/K1) ouput being: (1/K2)exp(-t/K2) i could take Fourier transform and then divide the two and find out H(w), then try to take inverse transform of it, to find h(t). but that somehow looks little complicated to me. Is there any...

Hi, I am trying to reduce the error in the controller for a stewart platform. At the moment I am trying to experiment with estimating the transfer function of the error, and applying the inverse of the transfer function to the input data. I have an input file sampled at 50hz of...

http://www.flickr.com/photos/61432156@N02/5593767202/ Ok so I'm trying to find the transfer function relating voltage across the 8 ohm resistor (speaker) with the input voltage for the circuit shown above... The two op amps simply provide a gain of 3... and by simple voltage division I am...

Homework Statement [PLAIN]http://img340.imageshack.us/img340/8508/circuit.png Find V2(s)/V1(s) (Laplace transform domain) Homework Equations KCL, capacitor equation. The Attempt at a Solution \frac {-V_2}{R} + \frac {V_1-V_2}{R} + C \frac {d(V_1-V_2)}{dt}=0 But in Laplace domain it follows...