Transfer function Definition and 341 Threads

Homework Statement Given the network transfer function H(s)=10s/(s^2+300s+10^6) Find the center frequency, lower and upper half power frequencies and the quality factor Q. Homework Equations Beta=R/L (omega naught)^2=1/(LC) BW=hi-lo=R/L H(s)=(R/L)s/(s^2+(R/L)s+1/(LC))...

i am trying to plot the output of a function given the transfer function and an input. however, i am having trouble with trying to express the input as a function in MATLAB my transfer function is m = 1; b = 2; k = 1000; num = [ 1000 ]; den = [ m b k ]; transferfunction = tf(num, den) so it's...

Homework Statement The open loop transfer function to a unity negative feedback system is given as: G(s)=50/s(s+10) Homework Equations Unity feedback is used in this problem, and the system input is a step function. Y(s)=50/s(s^2+10s+50) The Attempt at a Solution I have...

http://img195.imageshack.us/i/89020004.jpg/ I cannot get the Z2Z3 to appear in the bottom. I'm saying Zout = Z2 || Z3 so that gives Z2Z3/Z2+Z3 and Zg = Z1 Then H(s) = Zout/Zg = Z2Z3/Z1Z2+Z1Z3 What am I doing wrong?

Homework Statement The input signal of a first-order lowpass filter with a transfer function given by eqn 1 below and a half power frequency of 200 Hz is eqn 2 below. Find an expression for V_outHomework Equations eqn1: H(f) = 1/(1+j*(f/f_B) where f is the frequency and f_B is the half-power...

Homework Statement Find Vo(s)/Vi(s) for the OPAMP circuit in the attachementsHomework Equations V = iR, Kirchoff current law. 1/sC = Laplace transform of capacitor impedance. The Attempt at a Solution Make the voltage at the node = v'. ir1 = (vi - v')/r1 ir2 = v'/r2 iz = (v'-vo)/z z =...

Hi All, I am currently building a test rig for a plc project I am doing, it involves PID control of a pump from the level of a tank. I have built my rig but now I am trying to get the transfer function of it so that I can work out some theory. Any help on how to work out the transfer...

Homework Statement Determine the transfer function between output x and input F for the following mass-spring system. (see attached image) Homework Equations F=ma Inertia, T = J \alpha Rotational Damper, T=B \omega Rotational Spring, T=K \theta The Attempt at a Solution I'm having...

I have the transfer function z+b/z^2-1.5*z+0.7 I want to write this to MATLAB so : syms b h=tf([1 b],[1 -1.5 0.7],1) The problem is that it returns an error of the variable b. How can I define it so that I can get an answer?

Hi, I am trying to derive the general transfer function for a second order dynamic system, shown below: \frac{Y(s)}{X(s)}=\frac{K\omega_n^2}{s^2+2\zeta\omega_ns+\omega_n^2} In order to do this I am considering a mass-spring-damper system, with an input force of f(t) that satisfies the...

I have taken this example from a Digital Signal Processing book. I have got the simplified transfer function; however do not understand how it was done. I have had a go could someone please look at it and let me know where I am going wrong. I have attached my working out on a Word document...

I need to calculate the transfer function of a 4 DOFs system, in particular I need to calculate the system natural frequencies. Do you know to figure out these? On books I have found how to get it in the undamped case. Thanks

Hi, I have a question something along the lines of Here is a low pass filter, when the resistor = R and the capacitor = C. There is a sinusoidal voltage input source (V1) and a voltage across the capacitor (V2). The transfer function is T(w) = V2/V1. Determine the |T(w)| and arg(T(w)) where...

I had a little query on transfer functions. My problem is this. I have a two port network with one terminal labeled Vin and one labeled Vout. Now network only has 3 components, one is a resistor in series with an inductor, now this series combination is in parallel with another resistor. My...

Homework Statement Derive a transfer function relating the input(volts) to the out put (pressure) of a fuel celll air fllow system. Homework Equations P(gage)=P(abs)-P(atm) Ideal gas law(PV=mRT) dm/dt=mdot(in)-mdot(out) q=k(P(in)-P(out)) mass flowrate for a linear restriiction The Attempt...

Homework Statement In Matlab create bode plots for a first-order high-pass filter (with G at infinity = 2 and fc= 1 kHz) in series with a second order band-reject filter (with f0= 5000 Hz, B = 500 Hz, and GDC= G at infinity = 1 ). Homework Equations High pass TF = -jwCiRf/1+jwCiRi...

Hello, I need a help here, cause I only have basic matlab.. I want to superimpose two transfer function, Gp(s)=(Kp/sT+1)*e^(-sL) in frequency domain, in time domain y(t)=Kp*(1-exp(t-T)/L)*1(t-L) where, the value of Kp, T and L are known.. and t is matric time from 0-24.5 [0, 0.5, 1...24.5]...

Undamped Harmoni Oscillator differential equation: mx''=-kx (solution (to IC: x(0)=A, x'(0)=0) : x=Acos(wt) with w2=k/m) I need to find out the solution to the forced case with (Initial Condition zero): mx''+kx=F (with F=AFcos(wFt) ) evaluating with the transfer function. But I m not sure...

I have a system with two inputs one is reference (constant and known) and another is measured its value and i need to know the transfer function for all the system. Please anyone help me to find the transfer function because I needed it so necessary. thanks a lot.

U(s) is my input, Y(s) is the output. I have two plants, G1(s) and G2(s). Between these two plants, i have a disturbance input, D(s). Am i right to say Y(s) = U(s)G1(s)G2(s) + G2(s)D(s)? If that is the case, how can i get the overall transfer function Y(s)/U(s)? Please advise. Thank you.

why in a transfer function it is written by considering the initial condition to zero.. because if we individual write the integro-differential equation and apply Laplace transform to them and obtain a output/input relation,it definitely contains the initial condition terms in it also.. so...

Hi, I am confused between the difference between the Laplace transform and the Transfer function. I used to think that the Transfer Function was the Laplace transform of the Differential equation representation of a system, but in my readings it seems like that is incorrect - because...

I have a 2 dof vibration system, I have determined the differential equation of the model, can I determine the trasfer function readily with matlab, without using manual algebra operation? In other word, I have that differential equation system: [m]x''+[c]x'+[k]x=[f] where: [m] mass matrix...

http://img28.mediafire.com/bacfa47633147eefb0c3433511d3f1415g.jpg 1. Electrical system given. Find a transfer function. Correct answer UR(s)/U(s)=1/(s+2) 2. My attempt Use Kirchhoff's voltage law u(t)-i(t)*R1-UR(t)=0; u(t)=i(t)R1+uR(t); apply Laplace Transform (L.T.) U(s)=I(s)R1+UR(s)...

1. For the control system described by the transfer function H(s)=Y(s)/U(s)=10/(s^2+11s+10) Sketch the bode plot: amplitude and phase diagram. What is the bandwidth of the system? 2. General form of a second order system H(s)=wn^2/(s^2+2*zeta*wn*s+wn^2) Magnitude characteristic in...

A transfer function H(S) in s-domain has been obtained as H(s) = 5.0625/(0.0008s^2 + 0.0882s + 5.0625). I’m interested in finding its poles and zeros. I found that denominator polynomial 0.0008s^2 + 0.0882s + 5.0625 has complex conjugate roots. Roots are -55.13 + i 57.35 and -55.13 - i...

I have a transfer function for system. 23.23*s + 1.421 ------------------------------------- = tf s^2 + 25.88*s + 1.421 Since the numerator has a non-zero coefficient for "s" I am wary about equating 25.88 = 2 * zeta * omega [the stuff we usually do for calculating the damping...

I have a transfer function for system. 23.23*s + 1.421 ------------------------------------- = tf s^2 + 25.88*s + 1.421Since the numerator has a non-zero coefficient for "s" I am wary about equating 25.88 = 2 * zeta * omega [the stuff we usually do for...

Homework Statement Simplify the block diagram in figure and obtain the closed-loop transfer function. The first attachment is the question and the second attachment is the first step to the simplification of the block diagram.Homework Equations What i don't understand is how do you get rid...

Homework Statement a closed loop control system has a forward path having two series elements of transfer fuctions 2 and 1/s+1.If the feedback has a transfer function of s,what is the overall transfer function of the system? Homework Equations The Attempt at a Solution

Hi, I ve got two problems. 1) The problem i have is how to find an open loop transfer function that gives poles at -3, -6, -7+_ j5 and zero at -5. So i think that the numerator is (s+5), and denominator has (s+3),(s+6). and now I don't know how to carry on. Is it ( s+7+j5) and (s+7-j5)?. Am I...

Homework Statement find the transfer function H(s) [PLAIN]http://img192.imageshack.us/img192/4204/asdwoe.jpg Homework Equations H(s) = Vout/Vin done in the frequency domain so: C1 and C2 turns into 1/sC where C1 = C2 = .1F and R1 = R2 = 20 The Attempt at a Solution to find the...

Hey guys, Basically, I have been doing some testing with regards to tactile vibrations (I know that isn't very electrical) and using a HET have developed several amplitude plots in the time domain. I've been sampling at 5000Hz and I want to remove the noise from my signals to leave me with a...

Hi, in the paper I've attached, they give a method for generating a polynomial g for the amplitude response of a filter that gives arbitrary flatness and roll-off characteristics. \frac{1}{\sqrt{1+g}} And then they say the transfer function can be easily determined from this, but they...

Homework Statement A system has damping ratio 0.5, natural freq. 100 rad/s, DC gain of 1. Find the response of the system to a unit step input. Homework Equations Im having trouble doing the partial fraction expansion. The Attempt at a Solution I have attached a word document...

Homework Statement This is an example in the book that I am trying to work. I am given L(s) = (10(s+10)) / (s(s+3)(s+5)) The transfer function T(s) = 1 / (1+L(s)) Solving for the transfer function I get T(s) = (10(s+10)) / (s^3 + 8s^2 + 25s + 100) The process of getting the zeros...

Homework Statement Hello, so I'm trying to solve the transfer function for a parallel RLC filter that goes like -------Resistor ------------------- |XXXXXXXXXXXXXXXXX|XXXX| |XXXXXXXXXXXXXXXXX|XXXX| VinXXXXXXXXXXXXXXXXCXXXXL |XXXXXXXXXXXXXXXXX|XXXX| |XXXXXXXXXXXXXXXXX|XXXX|...

Homework Statement Please see attachment for block diagram of the system. Starting with the block diagram given in Figure 2 derive an expression for the overall transfer function of the system, where Gc(s) is in the form given by Eq. (1). Show that the system is a Second Order system...

I have to find the absolute value of the transfer function for the circuit shown in the attachment. However, I have capacitors instead of inductors in my circuit and inductors instead of capacitors. So, the cross circuit will have L in the upper and lower branch and two C in the cross. I...

I'm looking at a guide by Texas Instruments on active filter design. In it are the following equations for a second order lowpass filter, verbatim: The coefficient form of the denominator: s^2 + a_1s + a_0 Normalized: P(s) = (\frac{s}{\sqrt{a_0}*\omega_c})^2 + \frac{a_1s}{a_0*\omega_c} + 1...

Hello everybody I'm trying to obtain the transfer function (Vout/Vin) of some circuits employing an E5062A Vector Network Analyzer. I've been looking for some information on the topic, but I'm quite confused. Somebody told me it can be obtained simply as S21*sqrt(Zo). Additionally, I...

Hello all, I need transfer function of this circuit (it is Bandaxall tone stack). Here is the sheme: Any help would be greatly appreciated.

Homework Statement The problem ask me to write the transfert function of a electrical circuit witch include an operational amplifier. I've follow some instruction bur I cannot figure out from this problem. Could you suggest me somethings? I'd like to calculate G(S) = U(s) / Y(s) where...

Hi everyone - I've been self-studying electronics for the past couple years and I have a confession to make: I'm terrible at deriving transfer functions. I'd really like to improve at it, but every time I see a circuit like the following (to analyze for Z parameters, for example) I start to...

Homework Statement I am trying to derive the transfer function for the circuit (figure 6). I have what the final transfer function is supposed to be (figure 7) but I can't derive it. Homework Equations ((v2+) - 12)/12k + (v2+)/12k + ((v2+) - v1)/c2= 0 (v2-)/c1 + ((v2-) - Vout)/15k =...

Homework Statement I am given a block diagram (attached below) with 2 inputs (one being disturbance) and I need to find the closed-loop transfer function. I can get the closed-loop transfer function just fine for a normal 1 input system, but I have yet come across one with 2 inputs. I need the...

I want to tune my PID controller. For this I could either do this on-line using the controller on the system, or I could try to obtain the systems' transfer function and then simulate it off-line together with the PID controller to tune it to the desired behavior. I suspect the system is...

Designing a circuit from a given transfer function. I hope you don't mind that I haven't used the default format. It doesn't lend itself well to my problem. The original problem is as follows: We were given a 'black box' that contained a passive circuit and we experimentally determined a...

Hi, I'm currently busy with a 'small' project of translating an analog device (synthesizer, based on schematics) into a digital counterpart. What I do is basically simulate the device using a SPICE model. Then I look at the outputs, and see if can fit some equation on it. Based on the...

When i tried to find V_o(s)/V_i(s), i got a transfer function in s domain as, degree of denominator was greater than that of numerator. please help me find the transfer function of the attached circuit. i eventually need to find the impulse response.