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Questions tagged [transfer-function]

Anything related to transfer functions, i.e. those complex-valued functions of a complex variable used to model mathematically the I/O relationship of linear time-invariant initially-at-rest system using Laplace transform.

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How to sketch the Bode diagram of the output filter of a Buck converter?

I'm trying to figure out the Bode diagram of the output filter of a Buck converter: simulate this circuit – Schematic created using CircuitLab Vout is ...
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14 views

common source pole calculation vs. simulation

I would like to compare my pole simulation results to my hand calculations, I'm receiving quite a big error. when simulating a Common Source stage without output capacitance load there is a big ...
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Transfer function with separate time delays in each term

We've been given the problem below for our current assignment As far as I can recall, I have never seen a transfer function with time units in the function itself, added onto each separate term. I ...
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Find transfer function and step function for this circuit

can someone help me to find the transfer function of this circuit (i want to have the tension through the capacitor i think) and the step response in order to get the voltage in function of the time ...
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59 views

How do I calculate this inverse Laplace Transform

I have this transfer function and input, and I have to manually calculate what the systems response will be. The transfer function is: and the input is: I multiplied the two functions and used ...
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139 views

Why the Wien Oscillator output is a sine?

I don't understand why the output signal of the Wien oscillator is a sinusoidal waveform. I can easily understand how a sine waveform can be generated by an oscillator which contains an LC circuit (...
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76 views

Recognised Op Amp Circuit?

I've had a bunch of op amp circuits do research and find the transfer function of, and this is the last one, does anyone recognise it? I've had a Sallen Key and an All Pass before, and wondering if ...
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150 views

Circuit inverts at high frequency and is unity at low frequency

Does anyone recognize this op amp setup? I've figured that at low frequencies C1 is as short circuit, putting the +ve and -ve inputs to \$V_{in}\$ and at high frequencies it will be as open circuit ...
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130 views

Fitting of continuous transfer function

I measure a network's transfer function using a network analyzer and therefore have a set of complex data points, representing the network's gain and phase. I wish to fit a continuous, rational ...
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26 views

how to use the Vpp in this case?

in this exercise i thought i would approach it by finding the transfer function and i did find the transfer function by using a voltage divider equation, the problem im facing is that i don't have ...
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Y matrix (admittance parameters) and Transfer function

I have the following two port network: for which the Y matrix elements are: \$y11(s): (2+3s)\$ \$y12(s): -1\$ \$y21(s): -1\$ \$y22(s): 1.5\$ I need to get the value of \$ZL\$ in order for the ...
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117 views

Nodal analysis -> transfer function -> step response

I've been trying to get the transfer function for the circuit in the image below, but I seem to be doing something wrong, since the simulation on Circuitlab gives me a different Bode plot and I can't ...
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181 views

Teaching about LC filters

I'm preparing to teach some people regarding filters, and I'm confused regarding the use of the LC-filter circuit, specifically the circuit below: simulate this circuit – Schematic created ...
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106 views

Transfer function of DC Motor

I'm trying to verify whether the transfer function in this control diagram is the one stated in this document. I tried solving it and got this: Shifting the armature current \$I_a\$ feedback point ...
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42 views

How to obtain the steady state response of the sampled periodic signal data?

Below the green plot Vin is 5Hz sine voltage signal from a function generator output sampled at 12kHz sampling rate: The blue plot Vout is the processed/filtered data by using the following code in ...
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78 views

SMPS Error Amplifier Behavior

In case of switch mode power supplies, we uselly use "Error Amplifiers" (Type 1,2 & 3), my question is: The output voltage of this amplifier (Verr), is it the DC error of the Vref and Vout (i.e: ...
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106 views

How to estimate the transfer function given only Bode plot data points?

I'm trying to obtain transfer function given Bode plot data points. As an example I used the following RC filter and made AC sweep as follows: I set the type of sweep to decade and for each decade ...
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18 views

Transfer Function Estimate and PSD

I am looking at using Matlab to estimate the transfer function of an unknown system using input and output time history data. I found this page: https://www.mathworks.com/help/dsp/ug/estimate-the-...
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Frequency Response Function Estimate via FFT Question

I want to estimate the FRF of a dynamic LTI system given experimental input and output data. I know generally the approach is to use a chirp as an input to make sure enough frequency content is ...
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48 views

Find the transfer function of the circuit if current I is the measured output

So there's this problem I am trying to solve: Consider a series RL circuit corrected to a DC voltage source and an on-off switch. Assume R = 2 ohms, and L = 1H, and applied voltage V = 10 volts. ...
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35 views

How do the transfer functions of lumped and distributed circuit differ?

The transfer function of an electrical circuit can also be described as the \$S_{21}\$ parameter of the S-matrix. As far as I know the S-Matrix can be applied for both lumped and distributed circuits. ...
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30 views

Stability Criteria of Type 3 Digital PLL

I suppose we can derive the stability criteria based on poles of open-loop transfer function of F(z) in expression (4.11). However, the pole analysis does not help in deriving the stability criteria ...
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421 views

What is causing this long tail in the transient reponse?

I have a fifth order transfer function for which I designed a controller using pole-zero cancellation technique on a root locus. I am after <5% overshoot and <2s settling time. Currently, the ...
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60 views

How to find the transfer function of this first order active filter?

Going through Design with Operational Amplifiers and Analog Integrated Cricuits, in Chapter 3, problem 3.4 I am asked: The circuit of Fig. P3.4 is a noninverting differentiator. (a) Derive ...
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51 views

Can a system have constant phase response other than +/- 90 deg (and multiples)?

I have seen frequency responses where amplitude response is constant( pure delay) and where phase response is constant(pure integrator). In an integrator the constant phase is -90 deg. In a pure ...
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2answers
103 views

Obtain a Transfer Function from Bode Plot shown

I want to obtain a Transfer Function from the Bode Plots I already got the corner frequencies (approximates) and all the terms for my T.F. Then when I try to check my results in MATLAB my plot drops ...
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51 views

Unable to set transfer function on matlab simulink

I am trying to design a p controller for which i need transfer function and I am unable to set second order equation in denominator. When I do, it shows num(s)/den(s) written inside the transfer ...
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41 views

Typical Amplifier Output/Input Curve

I apologize for the extremely basic question, but I want to be sure. Ideally, an amplifier should have a linear output power to input power relationship. However, in most amplifiers (say a class AB ...
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56 views

How calculate the transfert function of boost converter with input capacitor?

the Boost converter figure is like this
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90 views

According to the Nyquist criterion this system is stable but when I apply an impulse I get an unstable response, why?

I have this open loop transfer function and I have to study the stability of the closed loop transfer function using the Nyquist criterion. What I got is that the characteristic equation 1+GH(s)=0 has ...
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What is the meaning of the sensivity, of the open loop transfer function, being -1 regarding the non zero pole?

I have to calculate the sensivity of this transfer function regarding the pole s=-10. I used the formula below, and I got the value of -1 but I do not understand its meaning. I replaced (s+10) with p ...
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2answers
73 views

Meaning of transfer function in s evaluated at a complex number

From the pole-zero plot, you can compute the system frequency response by assuming a locus of test points along the \$j\omega\$ axis. Figure from: http://web.mit.edu/2.14/www/Handouts/PoleZero.pdf \...
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239 views

How to calculate poles for a high order system?

I have a fourth order system which is fully controllable and observable, which needs to satisfy certain design criteria. I am trying to design a full-state feedback controller for the following ...
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Transfer function_Approximation of second order system for a linear actuator

I am trying to approximate a transfer function of a system. The system is a linear actuator, connected to a feedback potentiometer. The actuator has a mass on it. The following figure is a step ...
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How to find the transfer function F(w) for this circuit? [duplicate]

Hi, My book on analogue circuits has this question and I have been stuck at it for the past three days or so. I am supposed to figure out the transfer function for the network as well as the cutoff ...
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101 views

Rearranging transfer function for Bode diagram

Hi, I have been given this circuit and need to find its transfer function for then realizing its Bode diagram. The problem is that I don't know how to arrange the terms to find the asymptotes of the ...
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1answer
169 views

Reducing the order of transfer function while maintaining same response

Scenario: I have been going through Ogata Modern Control Engineering book and working through several exercises to improve my understanding of basic control principles. I came across the following ...
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55 views

What is the best approach to calculate the transfer function of this RC circuit?

I want to calculate the transfer function of the circuit below. I tried to calculate the equivalent impedance of each block and work my way with voltage dividers until I get to V3, but this method is ...
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Where does the negative sign come from in this transfer function?

I have a transfer function that was given to me. It's been a really long time since I've done block diagram math, so sorry if this is a newbie question. Based on the block diagram below (I forgot to ...
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458 views

Finding the Transfer Function of Spring Mass Damper System

I have been going through Ogata Modern Control Engineering book and working through several exercises to improve my understanding of basic control principles. I came across the following example which ...
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83 views

Decomposing a third order system into a first order system summed to a second order system

I have the following system: $$G(s)=\frac{2K(s+z)}{1000s^3+110s^2+(1+2K)s+2Kz}$$ Now I need to have this system meeting certain specifications (not relevant to what I'm asking now) such as a ...
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Determine the value of a constant for which the system is marginally stable

So I have the following transfer function $$G(s)=\frac{s^2+0.1s}{10s^3 + 1.1s^2 + 0.01s + 2K}$$ Now I'm trying to determine the value of K so that I have a marginally stable system. I'm not supposed ...
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302 views

High Pass Filter Design from Transfer Function

I need to design a circuit that implements the following transfer function: \$G(s)= G\frac{s+z}{s+p}\$ where, G = gain, p = pole and z = zero.
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How to find a number a such that an input 10e^-at to a transfer function does not have a Ke^-(at) term in the output

I have a transfer function, \$H(s) = \frac{-16(s+4)(s-1) }{ (s^2+16)(s+2)}\$. The impulse response is \$-16*(-3/10 * e^{-2t} + \frac{13}{10} cos(4t) + \frac{1}{10}sin(4t))u(t)\$. I am supposed to ...
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1answer
145 views

Creating smooth PWM response

By using PWM I have converted some signal to pulses and inserted it into transfer function of 2/(0.01*s+1) I then compared between the result of the original ...
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186 views

Gain of Inverting Active Bandpass Filter

For the filter below I calculate the transfer function $$H(j \omega) = -\frac{R_2C_1 j \omega}{(1+C_1R_1 j \omega)(1+C_2R_2 j \omega)} $$ and thus calculate the gain $$A= \sqrt{ H(j \omega_o) H(- ...
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749 views

Second Order Passive RC Low Pass Filter Doesn't Have -6dB at cutoff Frequency in LTSpice

For Second-Order RC filter the cutoff frequency is: $$fc = \frac{1}{2\pi \sqrt {R_1C_1R_2C_2}}$$ I have taken R1 = R2 = R = 1K Ohm and C1 = C2 = C= 0.1591 micro Farad. So the cutoff frequency comes ...
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68 views

Calculating the transfer function of this op-amp circuit

The first op-amp is a differential, second one is a follower and third one is a second order low pass filter. I've been struggling with the low pass and the final output of the circuit and I am not ...
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4answers
95 views

Is it possible to switch an electrical machine several times from motor to generator and vice-versa, within one revolution of its rotor?

I would like to find out how quickly and frequently a reversible electrical machine (EM) can be made to switch functions from a motor to generator and vice-versa - and what are the parameters of the ...
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transfer function of RC in parallel

I was looking at RC in parallel (at the bottom of the page at the link) to understand the transfer function \$\frac{V_{out}}{I_{in}} = \frac{R}{1+SRC}\$, in the case that the input is a constant ...