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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67 views

Transfer function of a classic controller

I want to calculate the transfer function and the gain, zeros and poles of the transfer function, considering that: $$R_1=R_2=R_3$$ $$C_1=C$$ I want to know if this circuit is a P, or PI, or PD, or ...
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1answer
60 views

Root Locus in a feedback loop

I'm trying to draw Root Locus by hand from the following block diagram and confirm the result I got from Routh Hurwitz's table: The table of Routh Hurwitz that I got is the following: And from the ...
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1answer
21 views

Static and dynamic behaviour of a sensor

On a slide, i read that i can model the static behaviour of a sensor as: whereas it's dynamic behaviour as: Is correct to say that the static behaviour is the steady-state behaviour, while the ...
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72 views

Find the Zero of a simple circuit

I would like to better understand how to find the zero of the transfer function of a circuit by inspection using fast analytical techniques. simulate this circuit – Schematic created using ...
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1answer
44 views

Obtain the matrix in a control system with tandem/cascade representation

I'm trying to find tandem/cascade and parallel realization for the following transfer function: $$G(s)=\frac{(s+6)^2}{(s+2)^2(s^2+4s+6)}$$ For Tandem/cascade realization, I draw the following block ...
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1answer
33 views

Finding coefficients for a PID controller that minimize the integral of the squared error (ISE)

The problem The problem is to find the coefficients for the P, I and D terms of a PID controller used to regulate the object that minimize the the integral of the squared error (ISE): $$Q = \int_0^\...
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1answer
29 views

Transfer function and graphic (Scilab error)

I'm trying to solve this problem with a Scilab code: I'm trying to follow this code, but in the step [b,a]=ss2tf[A,B,C,D], it shows the error ("Wrong number of ...
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1answer
68 views

How to find the time constant of a water tank control system?

I've come across a scenario where I have a vertical cylindrical tank filled with water, that has an inlet flow valve and outlet flow valve. Known values: Resistance or gain R = 1.5 m^3/min Area of ...
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45 views

Finding a transfer function for the circuit

I have been trying to find the transfer function of this circuit below. An anti-parallel diode was modeled as a resistor in parallel with a capacitor. The following is what I derived; however, in my ...
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1answer
55 views

How can I change transfer function slope after a certain point?

I need to design a circuit for the following transfer function. I've tried using biased parallel clippers, but the only thing I've managed to do is clipping the output at 5V i.e the slope becomes ...
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2answers
67 views

Help getting the transfer function of a circuit

I have been trying to get the transfer function of the circuit below for some days now and I eventually get to an expression but I don't believe I am geting the correct expression and here's why (the ...
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38 views

Two possible realisations for amplifier network - which is better, when and why?

Suppose the following transfer function should be realised using idealised components, \$H(s)=-\frac{s+12}{s+8}\$. I now define the following functions to act as "building blocks" for a network: \$\...
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84 views

Nyquist plot disagreeing with the unity step response of the closed loop

Let us assume that the open loop transfer function of my system is: \$L(s)=\frac{10(s+1)(s+2)}{(s-3)(s-4)}\$ Also, the system has unity feedback, meaning that the closed loop transfer function is \$...
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1answer
75 views

Is this transfer function impossible with a low-pass Sallen-key filter?

I was given this transfer function and instructed to use a Sallen-key cascaded with a 1st order filter to achieve it. $$H(s)=\frac{628^3}{(s+628)(s^2+628s+628^2)}$$ The first order transfer function ...
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1answer
87 views

Transfer function for resistor and capacitor [closed]

For the given circuit how am i going to find the transfer function H(s) between A and B can be obtained the following equation i.e
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31 views

Forward path gain

Consider a simple circuit consisting of a pair of wires, where input voltage is equal to output voltage. Here forward path gain is G(s) = 1 ,(fig.1) which gives g(t) = δ(t) {Inverse Laplace ...
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83 views

How do I find the proper transfer function of this passive filter?

I've been looking at this circuit for a long time trying to derive the transfer function of it. My attempt goes like so. You can separate the circuit into two RC filters, into a system that looks ...
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53 views

The pulse transfer function

I have a problem that asks me to do the following, consider the continuous-time system with transfer function $$ \frac{s^2}{s^2 + 4}. $$ Assume this system is preceded by an ideal sampler with ...
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2answers
40 views

For a bandpass transfer function, are there two gain bandwidth products?

Every example I have come across shows the gain bandwidth product used only for low pass transfer functions, but I never see it used for bandpass or in fact high pass transfer functions. Why is this?
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70 views

Bode plot gives negative stability margins for a stable plant

I have a plant whose transfer function has all the poles in the left half of the s-plane (obtained the poles using Wolfram Alpha). However, its bode plot gives negative phase and gain margins; I ...
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1answer
32 views

Difficulty stabilizing a system using sisotool on Matlab

I am trying to design a controller for a synchronous buck converter by using the siso tool on Matlab. The inductance value is 1.28mH, the filter capacitance is at 4.8uF and the load is a 240Ohm ...
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1answer
56 views

How to determine the transform function of certain bode plots?

The answer to this question above is C, yet I only know that the anti-resonance and resonance are located at 8 and 11 Hz respectively. Another example below to which the answer is B. I appreciate ...
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1answer
42 views

Finding a transfer function by voltage division

If I have the following circuit: I know that I can find the transfer function by doing voltage division. However, in this example, where does the negative sign in front of R1 come from? $$T(s)=\frac{...
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Second order RC filter and transfer function. Best method?

I need to analyze this filter and get the transfer function. I already did the job but I am asking you if there is a better method to solve this one ? (I heard of Facts method but I don't know how to ...
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3answers
83 views

Unsure about RLC low pass transfer function

I'm unsure about the RLC low-pass filter transfer and frequency response functions I've been trying to calculate. I need $$ H(s)=\frac{Y(s)}{X(s)} $$ where x(t) is Vin and y(t) is Vr. I calculated $$\...
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1answer
64 views

Replacing s with jw in transfer function. When the input function is oscillatory and has exponential decay

I understand a version of this question has been asked numerous times before but I could not find an answer to this specific one. This is how I understood replacing s with jw. From the impulse ...
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39 views

Range of duty cycle ms to drive RC servo motor and transfer function

I am using the ball and beam control system from Acrome robotics and I would like to identify the transfer function of the RC servo motor which translates motion to the system. First of all, I have ...
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91 views

Designing a diode waveform shaping circuit resulting in specific transfer function

Below is the circuit I built, yet the solution has the resistor as a load resistor instead of as a current limiting resistor. I am wondering if this circuit will output this transfer function.
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1answer
96 views

How to implement a lowpass filter for this one zero, one pole transfer function?

I have a task where I need to implement a filter circuit (active) for the following transfer function: $$G(s)=\frac{(s-5447)}{(s-961.3)}$$ So, we have one pole and one zero. The bode plot is as ...
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1answer
52 views

Cutoff frequency of transfer function at -6 dB

I'm trying to design a second order low-pass filter using the following transfer function: \$\ H(s)=\frac{f_c^2}{s^2 + 2 f_c s +f_c^2} \$ with cutoff frequency fc = 3400 Hz Whenever I plot this, ...
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2answers
42 views

Find and sketch the transfer function

This is the original circuit, we assume Vdo=0.7V, this is for when either of the diodes are on. We know both diodes cannot both be off because then no current would flow in the circuit. I become ...
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Possible inconsistencies in solution to second order transfer function step response

I'm trying to use matlab to solve the second order DE for car suspension for a particular oscillation period and overshoot percentage (0.5s and 5%). I thought I had solved it but I've found some ...
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24 views

What is the residue of a response component in Control System Engineering?

I have read Norman S Nice book in Control Systems Engineering, I found in some pages the word residue which get me confused. Could you please help me to understand what does it mean if it says " the ...
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32 views

How does shifting Product/Divide Block work?

I've just learned about PID MRAC using MIT Rule, and to build it in Simulink I need to use the Product/Divide Block. https://www.mathworks.com/help/simulink/slref/product.html This is a figure from "...
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1answer
125 views

What does zero transfer function mean?

I am solving a problem where I have to find the transfer function of a system. The system is $$A = \begin{bmatrix}2&-1&2\\0&1&-2\\0&0&-1\end{bmatrix}, B = \begin{bmatrix}1\\1\\...
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1answer
63 views

Finding the natural frequency

I am trying to figure out the natural frequency and the time constants of a transfer function. Ignoring the numerator and using the denominator of the second order characteristic equation: $$s^2+2\...
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1answer
69 views

Transfer function for Sallen-Key Low-pass Filter

How can I find the transfer function H(s) of the following circuit by using the nodal analysis? My thoughts woulb be: the equation for the node \$ i_1 = i_1 + i_3 \$ \$ i_1 = \frac{U_e - U_1}{R_1} ...
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2answers
176 views

Why is the transfer function of this non-inverting low-pass filter wrong?

I came across this block in a larger circuit: With a transfer function (in pole-zero form) of; $$ H(s) = \frac{s+30000}{s+5000} $$ which was found using KCL on the inverting terminal of the op-amp. ...
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1answer
129 views

wien bridge oscillator transfer function

I am trying to calculate the transfer function of a wien bridge oscillator but there is something wrong in my calculations. In the picture below there are my results from this calcultation. I am ...
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1answer
120 views

How does the second order time constant affect circuit behavior?

I learned that the transfer function of a second order circuit can be expressed in the following standard way: $$ \frac{K}{\tau_s^2 s^2 + 2 \zeta \tau_s s + 1} $$ Where: \$K\$ is the gain \$\zeta\$ ...
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1answer
121 views

Active filter has unintended attenuation for lower frequencies

I have design an active filter with an online tool. The circuit looks as follows: It should be a low pass filter of 3rd order with a cut-off frequency at 50kHz. Unfortunately, it attenuatues DC ...
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3answers
67 views

Parallel caps transfer function

I am calculating transfer function with some parallel caps in the circuit, same ones. I have parallel 4 capacitors with 100 microF each then total capacitance is 400 microF and it is presented as \$ ...
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0answers
55 views

Transient Response and s-plane root location

A second-order system has the closed-loop transfer function T(s)=Y(s)/R(s). The system specifications for a unit step input is as follows: I managed to solve the problem until this step. But I am ...
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56 views

How to design a high pass filter given a stopband and cutoff frequency? [duplicate]

I have fs = 132 Hz and fc = 770 Hz I want to design a first order high pass filter that increases gain at a rate of 20dB per decade from 132 Hz until 770 Hz. Before 132 Hz the filter must stay ...
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79 views

How do I convert poles and zeros of a transfer function into a circuit / required circuit components?

I have been given a bode plot of a low pass filter, and tasked with essentially reversing the effects by using a high pass filter. I have solved for the transfer function which is the first equation, ...
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1answer
58 views

Transfer function G(s)= 2/(0.0625*s^2+0.1*s+1) phase calculation problem for ω>ωn

I am trying to create a table of values and the bode plot for the tranfer function G(s)= 2/(0.0625*s^2 + 0.1*s + 1). However when i use values above ω{n} the the values of phase does not agree with ...
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2answers
117 views

Transfer Function Derivation

Where did the following transfer function come from? \$H(s) = -H_o\frac{\frac{\omega_o}{Q}s}{s^2 +\frac{\omega_o}{Q}s + \omega_o^2}\$ \$H_o\$ is the gain at resonant frequency. I'm told it ...
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2answers
61 views

Interpretation of the pole of a transfer function of a vibrating platform

I am not able to understand what the frequency where the hydraulic pole occurs (as in the diagram) signifies? To give an overview, there is a vibrating platform and we are seeing its response motion ...
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2answers
82 views

Transfer function using mesh analysis

I have the following circuit: I have to find the transfer function by using mesh analysis. First of all I used the Laplace transformation. Although I saw some similar exercises, I don't really see ...
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1answer
100 views

Laplace Transforms and the imaginary input

When we get an exponential on the RHS of our differential equation (or if we give an exponential input) it's quite easy to solve the equation, but if we provide a sinsusoidal or cosinusoidal input, ...