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Questions tagged [transfer-function]

The transfer G(s) = X(s) / W(s) function describes the relationship between an input signal X(s) and an output signal W(s).

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Getting the damping ratio from a frequency response function v.s. transfer function

I'm trying to find the damping values of a specimen, based on sweeping the forcing frequency from 0-10 kHz. As shown in the diagram, I measure the input force from the shaker, and the subsequent ...
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How do you generate an impulse signal in a mechatronic system?

Background: I have a piezoelectric force transducer that I am using to measure the force produced by a combustion reaction in a tube. The issue is that there is a lot of ringing that occurs during the ...
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calculate output $y(t)$ from $Y(z)$ having discrete closed loop model with sine input - residue method

I have closed loop - discrete model. This is how it looks in matlab: I need to compute analitically output $y(t)$ (same as in the Matlab's scope) having $Y(z)$. Where $Y(z)=U(z)*G(z)$ Input is sine ...
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Thermal transfer function of an isotropic material

Consider a piece of material of infinite extent (i.e. no boundaries) with a point source of heat at its center which oscillates at frequency $\omega$ about the mean temperature $\langle T\rangle$. If ...
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Tranfer function of non-self regulating process

This system is non-self regulating process with mathematical model : dh/dt = (fi-fo)/C where fi = flow input, fo = flow output, C = tank capacity or volume tank. I want make tranfer function of this ...
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Servo Motor Input Voltage Equation

I'm working on a Ball & Beam project. As I'm doing it for an engineering project, I'm supposed to model the system mathematically, calculate the PID parameters, etc. to center the ball in the ...
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Z - transform of white noise

I am taking a graduate course in Digital signal processing with no prior knowledge in DSP. So I am struggling because I don't have the foundational knowledge. Please I need help with the following. ...
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Evaluating Steady State Error Constant for a Discrete Time Control System with Kronecker Delta Input

Hello there, hope you are doing well. I am working on a Discrete Time Control Systems homework and at a certain part of it, the question asks me to find the steady state error of the system. I ...
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Evaluate "damping" of higher-order transfer function - something similar to settling time without the discontinuities

I have an 11th order transfer function in the continuous domain (simplified linearized model of a grid-forming converter) and I'm looking for a way to characterize it with a single number for ...
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How to derive a value from a transfer function

I have a scenario where a valve q_in(t) is pumping water into a tank of height h(t) and area A, which is then pumped out by a second valve q_out(t) that has a resistance to water flow R. I got this ...
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Does the characteristic polynomial contains all the poles of a closed-loop transfer function?

The Transfer Function of a Closed-Loop system is: $T(s)=\frac{Z(s)}{1+G(s)Z(s)}$. The BIBO stability of $T(s)$ is guaranteed if all the poles of $T(s)$ have negative real value. In many textbooks I'...
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High Pass Filter Design from Transfer Function

I need to design an active high pass filter circuit that implements the following transfer function: $$G(s)= 4.15\times\dfrac{s+530}{s+2200}$$ where, $K = 4.15$, Pole @ 2200 rad/s and Zero @ 530 rad/...
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How to combine ODE parameters values from several estimations?

I would like to perform parameters estimation for a differential equation from experiment. If the value of these parameters are obtained from several experiments (repetitions) where for each ...
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Find transfer function from bode diagram?

I've been given this bode diagram : I've been asked to find the transfer function only by using the bode diagram. It's the first time I'm doing this so here's what I thought. The starting value is ...
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Transfer function from a block diagram

Today I was asked a question in control lecture. There are extra questions about this block diagram but I need to find; the transfer function of this foreforward block diagram and find the roots the ...
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A transfer function relating jet engine thrust to pitch angle during a phugoid motion

I am doing a school project that requires me to find a transfer function that relates the thrust of a jet engine (which could change with time in one way or another) and the aircraft's pitch angle ...
Faito Dayo's user avatar
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I need to design a controller for a system, need to choose between P, PI, PD, and PID, given only the desired ss, settling, and overshoot %

(Apologies for terrible formatting, first post and don't know how to make equations look nice) The system is $$G(s)=\frac{10}{4s^2+7s+23}$$ and the requirements are steady state error of zero, $10ms$ ...
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Output error vs equation error

We are learning about the parity space approach in class and we were given this figure to demonstrate the output error and equation error. [![Output and equation error][1]][1] My question is what are ...
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Final form of transfer function in a single input single output system

I am reading the textbook "Modern Control Engineering" by Katsuhiko Ogata. There is a section on deriving the transfer function from the state space equations dx/dt = Ax + Bu and y = Cx + Du ...
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Effect of pair of complex zeros on system response

Talking about continuous system transfer functions (so s-domain), a lot of resources are available to estimate the effect of one real zero on the system response. However, I did not find anywhere a ...
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Transfer function, steady state

In a problem I came across I was asked to determine the parameters M2 and k12 such that mass M1 does not vibrate in steady state. The diagram can be seen below I found the transfer function to be Y1(...
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Find transfer function of a drive pulley where the output is a spring force

I have the following system and have deduced the equations of motion to be and with the substitutions for the spring forces we get I understand how to find the transfer function of any single ...
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Drawing Block diagram of Transfer Function with multi input variables

I was solving a Transfer function problem with multiple input variables. I decided to draw a simplified block diagram of the function but I cannot find any resources that point me to this specific ...
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How can I find characteristic equation of complex systems?

I am working on an Overhead crane, where I am supposed to design a controller that controls the position of the crane while minimizing the load's sway angle. I have derived the transfer functions for ...
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Steady state error of negative feedback system - zeroes of feedback function

I am currently studying control systems from the KUO - GOLNARAGHI book. Regarding the steady state error the book makes the following distinction: Feedback function H(s) has no zero at s = 0 Feedback ...
deckard1992's user avatar
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Transfer Function for Electro-Mechanical System

Can anyone please lead me in the right direction as to how to solve for the transfer function given this motor schematic
user15588486's user avatar
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How can I find the Transfer Function in Z-domain?

This is my signal; $y[n]=x[n]+0.8x[n-0.2]$ When I take Z-transform I get; $Y[z]=X[z]+0.8z^\frac{-1}{5}X[z])$ Then I found the Transfer function as; $H[z]=\frac{Y[z]}{X[z]}$ $H[z]=1+0.8z^\frac{-1}{5}$ ...
talha gungor's user avatar
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How could we calculate the coefficient of a PI controller (ki - kp) which regulates the voltage of the DC bus link of a three-phase inverter?

From my calculations I arrived at a non-linear equation : $$ C\frac{dV_{dc}}{dt} = 3e_q\frac{I_q}{2}V_{dc} - \frac{V_{dc}}{R_{dc}} $$ I have calculated the operating points which are $I_q = 9.58A$, $...
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Determine the transfer function of a movement equation

The problem is the following. I have to control a spaceship (assuming no gravity, no mass, no friction / no external forces). In other words, the first equation in this question leads to $0 = 0$. My ...
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How to model a double transfer function in Simulink?

I'm trying to model an actuator in Simulink based transfer functions previously derived. One of functions is $$\omega_p=G_2(K_cG_1V_c-c)$$ where $$G_1=\frac{K_e}{\tau_es+1}$$ $$G_2=\frac{1}{c+...
square potato's user avatar
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Design op-amp circuit from transfer function

What is the best way to design a circuit based on the following transfer function: $$T(s)=\frac{9216}{(s^2 + 48s + 9216)}$$
user23600's user avatar
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How to obtain transfer function of servo?

I am using a servo motor and controlling it via arduino. Servo motor is part of a control system and I have to use System Identification techniques in order to obtain the servo's transfer function. ...
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How do I get the closed-loop transfer function of the system, fitted with a PID controller, if the input valve has a transfer function?

How do I get the closed-loop transfer function of the system, fitted with a PID controller, if the input valve has a transfer function given by: $ \frac{Q(s)}{P(s)} = \frac{Kv}{(Tv*S+I)} $ Where Kv ...
MelanieW403's user avatar
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effect of coupling in MIMO systems

I have a MIMO system with a 2x2 transfer matrix, for example consider: $\begin{pmatrix} \frac{2}{s+1} & \frac{1}{(s+1)(s+2)}\\ \frac{1}{(s+1)(s+2)}&\frac{2}{s+2} \end{pmatrix}$ I would ...
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Can one move the zeros of a transfer function?

This may be a very simple question and I think I know the answer but I would like it to be confirmed by somebody else. My questions regard the zeros of a systems (the roots of the numerator of a ...
Metalzero2's user avatar
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1 answer
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Block reduction need someone to check my work

I tried to solve this block but I am not sure if the end result is any good, some feedback would be nice.
Joe 's user avatar
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Designing an RLC circuit with specific transfer function

I have a transfer function below. $H(s)=(s^2+(1/2)s+(1/2))/(s^2+s+1)$ Using this, I have to design an RLC circuit with that transfer function. At first hand, I did some inverse Laplace Transform, ...
i9100's user avatar
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How to convert PI controller in to differential equation?

I want to convert PI controller into Differential Equation form. How should I do this? Please help me.
aman2909's user avatar