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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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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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63 views

2nd order high pass Bessel filter Bode plot

I'm trying to simulate a 2nd order high pass Bessel filter. Unfortunately my Bode plot graph doesn't rise with 40 dB per decade and the curve looks weird as well. I've already read about the transfer ...
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1answer
124 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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37 views

Determine the voltage transfer characteristics of the bjt

How do I start this question, I've just been trying to plot vin vs vout and using EBJ<0.5 and CBJ>0.7 and trying to get a range for vin and plotting? Is this the correct way to go about this?
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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
79 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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1answer
42 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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2answers
34 views

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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47 views

What is the transfer function of the given opamp circuit?

Now, \$ v_2=\frac{(R/2)}{R/2+X_C}*0=0 \$ \$ v_o=0 \$ What have I done wrong?
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386 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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37 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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149 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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s-Domain transfer function of series LC in parallel with R?

I have to find the impulse response of the following circuit. First I need to determine the s-Domain transfer function (is(t)/i(t)), for which I tried to use current division. I tried a few different ...
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PID tuning for 2nd order system with zero pole

I have the following 2nd order system: I would like to add PID controller and to tune it. I read about Ziegler-Nichols tuning however I get weird results due to the zero pole since the result is ...
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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
117 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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66 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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260 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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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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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 ...
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1answer
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Cascaded Transfer Function Method for Frequency Response

Multiplying the transfer functions of multiple cascaded circuit fragments to get the frequency response of the system doesn’t work because of loading between stages. However, I came across the ...
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148 views

Degenerate circuit concept and its theoretical and practical implications

I came across with the term "degenerate circuit" when I was studying solving linear differential equations with Laplace transform. I have learned that a system is called degenerate when the ...
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2answers
120 views

How to define a transfer function for a given system?

I just finished reading this paper, on how to "draw" Bode plot for a given transfer function. After done reading I realized that it would be pointless to learn this stuff, if I wouldn't know how to ...
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56 views

Are these equations correct? (transfer function)

I have a given transfer function \$ |H| = \frac{R_2}{\sqrt{R_1^2+\frac{1}{(\omega c)^2}}} \$ where \$ c = 1\mathrm{\mu F} \$ and \$ R_1,R_2 \$ are unknown. I know that \$ |H(j\omega_c)| = 50.1 \$ ...
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Low entropy transfer function, output impedance

I am trying to understand and apply the concept of low entropy transfer functions as outlined by C.Basso and equally stated by a couple of people here. As an example I wanted to work through an L-C ...
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47 views

Issues to create a current control transfer function for a DCDC Converter

I'm trying to reproduce a work I've seen in an article, but I'm encountering some issues. I used the data provided and the transfer functions placed by the author, but I did not get the same result, ...
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How to get the transfer function of electrical network using nodal method

We have the following circuit: I am trying to get the transfer function using the Mesh Method. The first equation I've got is: (s+1) I1(s) - sI2(s) = Vi(s) The ...
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131 views

Transfer function of a bandpass

i was doing some homework and one thing I had to do was to derivate the transfer function of a given bandPass. I have done it myself but i dont know if it is correct nor if i followed the right path / ...
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How to get discrete state space equations from Laplace transfer function?

I had some trouble solving an exam problem which goes like this : Given a system transfer function H(s) = 9/(\$s^2 +9)\$ : 1) Find the discrete time state space equations 2) What is the conditions ...
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Relation between dash pot and spring in forces when extracting a transfer function [closed]

If a spring load some energy and use it for opposing other forces, and a dash pot has a friction, physically the both shouldn't have the same force-displacement equation ? In most of dash pots, we ...
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Low Entropy derivation of Transfer Functions with OP AMPS

I was recently low entropy equations of passive filters, and came across the Extra Element Theorem and all of its uses. I was wondering if the there is something similar for OP AMP circuits/ Active ...
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Root locus, where do they leave the line parallel to imaginary axis

I know how to sketch by hand root locus of simpler systems. Consider the root locus which Matlab gives for: $$G(s) = \frac{1}{(s+4)(s+6)(s^2 + 10s + 100)}$$ I've marked the points of interest P1 and ...
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1answer
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How to I go from generalized Transfer Function to generalized State Space, and back?

Question: How can I transform a generalized Transfer Function a generalized state space form (preferable with the First Companion Form), and back? For the sake of presenting an example, let us say ...
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145 views

Root locus for an open loop transfer function?

The function, rlocus(), in MATLAB is used for closed loop system roots for variation in gain K. However, I am curious if there is a similar function for variation ...
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Meaning of the “pole” of a transfer function with time delay

I learned in basic control theory that we can determine the stability of an LTI system by the signs of the real part of the poles of its transfer function \$H(s)=\frac{N(s)}{D(s)}\$. For a rational ...
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114 views

Transfer Function: Trying to understand the Laplace analysis of this circuit

I am trying to do the transfer function of this circuit and also trying to understand the frequency domain thing of the Laplace transform. I want to do a transfer function of VA/V1, considering B to ...
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1answer
45 views

gain of inverting op amp with resistor on input

I´m trying to figure out the transfer function of the attached op amp circuit. I came to the conclusion that v_out = - v_in as as the two resistors in the upper path are equally sized, and the non ...
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82 views

What kind of software I can use to plot graphics like this? And how is this plotted? [closed]

I am trying to plot the transfer function of a circuit. What kind of software I can use to plot graphics like this, without using circuit simulation software? I would like to understand things ...
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1answer
102 views

PID tuning without plant model

My aim is to keep temperature constant at a certain place. I don't have a mathematical model of the plant. Currently, PID is used with some fixed Kp, Ki, and Kd, and I want to optimize these ...
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Phase Locked Loop Gain Design- FM Demodulation

Say I am trying to demodulate a message up to 25kHz in frequency, with a peak frequency deviation of 75kHz and a carrier of 1MHz, implying a 200kHz bandwidth using carsons rule. Would I design the ...
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180 views

Quality Factor and Cut-off Frequency Defintion

Suppose we have $$ H(s) = \dfrac{ k \frac{\omega_o}{Q}s}{s^2 + \frac{\omega_o}{Q}s + \omega_n^2}$$ What is the definition of the quality factor? My understanding is that it is the gain at the cut-...
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Inverse Laplace transform of double pole

Given the simple transfer function of a double pole: $$ H(s)=\frac{1}{(1+as)^2}=\frac{1}{1+s2a + s^2 a^2} = \frac{1}{1+s k_1 + s^2 k_2} $$ Its inverse Laplace transform is (e.g. [1]): $$ h(t) = -\...
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'Information nature' of transfer function?

Doubt: before I thought I had understood the transfer function, now, I realize that I did not understand what transfer function is it on a structural level , that is how it 'makes a circuit' or is ...
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1answer
317 views

Transfer function of high pass filter via impulse response function

I'm having a hard time computing the transfer function of a high pass RC filter, by taking the Fourier transform of its impulse response function: $$ H(\omega)=\int_{-\infty}^{\infty} h(t)e^{-i\omega ...
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2answers
77 views

RC Filter measured response differs from calculated transfer function

I've created a first-order RC filter with R = 68 Ohm, C = 5.0 uF, and I am studying the transfer function of this filter. I have calculated the transfer function to be 1/(1+jwRC), based on the ...
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4answers
135 views

How to find the system response given the transfer function without using Laplace transforms?

The given transfer function is: $$\frac{6p+100}{p^2+12p+100}$$ and inputted into the system is a unit step response: $$r(t) = \left\{\begin{array} f0 & t < 0\\1 & t > 0 \end{array}\...