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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1answer
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System Dynamics Modeling

I am trying to model this system but am having difficulties in setting up the equations of motion. This is a simplified model of a motorcycle suspension system, where P is the ground in the image ...
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39 views

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 ...
3
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1answer
98 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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0answers
49 views

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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63 views

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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0answers
173 views

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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0answers
37 views

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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0answers
28 views

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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0answers
44 views

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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0answers
219 views

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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0answers
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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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0answers
75 views

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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24 views

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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2answers
38 views

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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37 views

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+...
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1answer
29 views

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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35 views

Design op-amp circuit from transfer function

What is the best way to design a circuit based on the following transfer function: $$T(s)=\frac{9216}{(s^2 + 48s + 9216)}$$
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320 views

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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0answers
57 views

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 ...
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0answers
48 views

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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85 views

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 ...
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1answer
48 views

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.
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1answer
44 views

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, ...