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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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10 votes
1 answer
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Response of a system to a step function (Heaviside function)

I'd like to compute the response to a step function of a electrical/thermal system. Generally I can "easily" compute the transfer function $H$: $$H(\omega) = \frac{V_{out}(\omega)}{V_{in}(\omega)}$$ ...
Worldsheep's user avatar
9 votes
4 answers
2k views

How does load force impact load inertia?

I am trying to simulate a winch as a speed-regulated motor that works through a gearbox to lift a mass. The output of the gearbox is a drum, which rotates to accumulate cable. I feel comfortable ...
Chuck's user avatar
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8 votes
2 answers
490 views

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 ...
Josh Pilipovsky's user avatar
7 votes
3 answers
4k views

What do the zeros of the transfer function tell you about a system?

I come from a mathematics background and I'm familiar with laplace transforms in-as-far-as they provide an algebraic method to solve ordinary differential equations. So, when I read about transfer ...
Paul's user avatar
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7 votes
2 answers
148 views

Unexpected Results from my Transfer Function

I have a system that can be modeled with the following picture: There is a mass $m$ connected to a spring $k$ and a dashpot $d$. These are both connected to another dashpot $c$. A force $F(t)$ is ...
anonymouse's user avatar
6 votes
1 answer
972 views

mass calculation from transfer function or bodeplot

I have a double mass rotary model. The two masses are connected by an axis which together acts as a spring damper system of the fourth order. The system is actuated by a motor and the angle of ...
Somanna Thapanda's user avatar
5 votes
1 answer
2k views

Determine the range of values for a PI controller

This is a basic control theory question, since Control Theory is a part of applied mathematics but also of engineering I was unsure whether to ask this here. The question says: Given the transfer ...
HCalderon's user avatar
5 votes
1 answer
166 views

System Identification 1-d altitude control

One dimensional altitude control of a hovercraft. The model's dynamic equations that I came up with are, I treat the hover craft as a rigid particle and my goal is to have it hover at or reach a ...
user1084113's user avatar
4 votes
2 answers
1k views

Which equations of a state space model influence the poles and zeroes?

In regulation, if we represent a system with a state space model, we end with three matrices A, B and C (without taking into account feed-forward part) that define a specific part of the following ...
Crapsy's user avatar
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4 votes
1 answer
207 views

How to determine the dynamic response of a spring-mass system?

The Problem I have the following system for which I would like to determine its dynamic response, taken from these lecture notes pg.20: where the forcing functions are $u_1 = 1-U(t - t_0)$, $u_2=0$, ...
kostas1335's user avatar
4 votes
2 answers
852 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^\...
user24139's user avatar
4 votes
1 answer
298 views

Finding Transfer Function between specific points

Hi I have this block diagram: Now, I want to reduce it to such a block diagram: How do I find H ? I am looking for a general method, of how to approach such problems. Here is what H should be:
henry's user avatar
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3 votes
2 answers
245 views

Frequency Response of a Discrete System

Let's say that I have the following continuous system: $$G(s)= \frac{2}{1+s}$$ I could convert it to a discrete system using for example the Tustin approximation https://en.wikipedia.org/wiki/...
james's user avatar
  • 268
3 votes
2 answers
3k views

Square wave transfer function?

I made a mathematical model (transfer function) of a rlc circuit. I simulated it in matlab simulink with step input and square wave input and observed the result. I can also calculate this system with ...
Taha's user avatar
  • 87
3 votes
2 answers
822 views

How do I interpret the following Bode, Nyquist and Nichols diagrams?

I am working with an arbitrarily complicated and long-winded transfer function that looks something like this: $$ H(s) = \frac{as^4+\cdots+b}{cs^6+\cdots+ds^2} $$ where letters represent constants. ...
alcopo63q's user avatar
3 votes
1 answer
5k views

What are the Singular Values of a dynamic system and how are they calculated in the *sigma* function in Matlab?

According to Matlab documentation: sigma plots the singular values of the frequency response of a dynamic system. bode creates a Bode plot of the frequency response of a dynamic system. I am ...
Joe's user avatar
  • 31
3 votes
1 answer
406 views

Modelling of Ball and Beam System

I'm trying to model a basic ball and beam system using Euler-Lagrange Equation. My system looks something like this I have come up with this final Euler-Lagrange Equation: Where JB is the ball's ...
Zelreedy's user avatar
3 votes
0 answers
137 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 ...
hopper19's user avatar
  • 129
2 votes
1 answer
3k views

PI controller for second order system

I have a second order system and I need to control it using a PI controller. I need to tune the gains of the controller in order for the system to satisfy the below specifications: $$ OS\% < 10\% \...
Teo Protoulis's user avatar
2 votes
1 answer
133 views

How can I extract transfer function an unknown nonlinear system?

I am trying to do PID control for my servo electronic motor system. This system uses SSI encoder output for feedback mechanism. I will calculate PID parameters according to ziegler nichols tuning ...
cem's user avatar
  • 21
2 votes
2 answers
4k views

How can I calculate the z-transformation of this transfer function of a time-discrete controller?

I am currently preparing for an exam where on part is control theory. This is one task from a former exam where I don't know how to solve it (translated from German): Calculate the z-transformed ...
Martin Thoma's user avatar
2 votes
1 answer
326 views

Help understanding a control system represented by coefficients of theta?

I've been working with control systems and transfer functions recently, but I've come across a format that I haven't seen before using coefficients of theta, and I can't find any information about it. ...
MendelumS's user avatar
2 votes
1 answer
785 views

Is lead filter same as PD combined with a low pass filter?

I am curious to know the difference between a lead compensator (lead filter) and a PD controller with a low pass filter. From the theory I can see that the transfer function of both these controllers ...
Somanna Thapanda's user avatar
2 votes
1 answer
58 views

second order linear filter and coefficients sign

Courses on automatics define usually the second order transfer function as $$ H(s) = \frac{1}{\frac{s^2}{w_n^2} + \frac{2z}{w_n} s + 1} $$ (sse here for instance). However, it assumes that the ...
Smilia's user avatar
  • 123
2 votes
1 answer
101 views

Compare Genetic Algorithms and Markov Chain Monte Carlo in their statistical properties in parameter estimation task

I am using GA and MCMC for estimating the parameters of a transfer function. GA returns results that each parameter has one value when minimizing the error function, and MCMC returns the whole chain ...
bsn_eng's user avatar
  • 33
2 votes
1 answer
149 views

Transfer function for hovercraft [closed]

I'm building a hovercraft, which transfer function i have to find for further control. The hovercraft can be found in the following As you can see, the hovercraft has 2 motors for direction. I have ...
Emil Møller Ringgaard's user avatar
2 votes
0 answers
96 views

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 ...
Ben's user avatar
  • 21
2 votes
0 answers
65 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 ...
mdkdy's user avatar
  • 121
2 votes
0 answers
187 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 ...
Chris Mueller's user avatar
1 vote
2 answers
668 views

Practical examples of LTI transfer function

My question is pretty simple. The transfer function of an LTI system seems rather limited in use since the initial conditions must be zero. What are some practical engineering uses of it, and examples?...
justthom8's user avatar
  • 111
1 vote
1 answer
842 views

How do I find the minimum/maximum stable value of scalar gain for a closed loop transfer function?

I have the following transfer function: $$G(s) = \frac{s + 8}{s^2 − 2s − 3}$$ This function is placed in series with a static gain $k$ and unity feedback. In this case I'm looking for the minimum ...
user avatar
1 vote
2 answers
149 views

How to get a transfer function from this block diagram?

Pardon my paint skills, I did my best My attempt is short and seems to fail, I have no idea why: $$\begin{align} \alpha &= in - a_{1}\beta - a_{2}\gamma \\ \beta &= \alpha z^{-1} \\ \gamma &...
user1477107's user avatar
1 vote
2 answers
81 views

Fault Recovery of a UAV using MATLAB

I'm currently investigating fault recovery in a UAV using MATLAB. I've been given several variables: phi = the roll angle psi = the yaw/heading angle beta = the side slip p = roll rate r = yaw/...
gunter's user avatar
  • 321
1 vote
1 answer
451 views

Feedback loop and zero - error in steady state

I need help with this exercise. I 've tried many times with pen and paper but I'm stuck. I don't want a full answer but some feedback . Here is my progess: $$\frac{dx}{dt} = Ax(t) + Bu(t) \Rightarrow ...
tonythestark's user avatar
1 vote
1 answer
302 views

How can I get final value of $V_{out}$ at $t=∞$ in RC circuit?

I can obtain the transfer function in this RC circuit. $$ \frac{V_{out}}{V_{in}} = \frac{1}{(RCs+1)} $$ When $V_{in}$ is set to $10V$, how can I get final value of $V_{out}$ at $t=∞$? I tried to use ...
hihello's user avatar
  • 19
1 vote
1 answer
1k views

How to tune a PID for a pure integrator system?

Given a plant with a transfer function of K/s, how can I tune a PID to control it? I found articles explaining how to tune an integrator with time delay, but not for just a pure integrator system.
Pr. Giratina's user avatar
1 vote
1 answer
2k views

Transfer function of a temperature controlled incubation system

I am a computer engineering student and currently having my undergraduate thesis. My thesis is about temperature control system of a chicken egg incubator. I searched over the internet and found this ...
paulj's user avatar
  • 113
1 vote
1 answer
1k views

Closed loop response of a discrete system

I have trasfer functions of a plant and a controller in laplace domain. I checked for the closed loop response by applying a step response. The system is found to be stable. I checked the response ...
Somanna Thapanda's user avatar
1 vote
2 answers
316 views

Constructing a block diagram from equations

\begin{equation} X(s) = -A X(s) + Z(s) +B W(s)\end{equation} \begin{equation}W(s)= C X(s) -D W(s)\end{equation} \begin{equation} Y(s)= E W(s)\end{equation} My question is would the system be ...
Jack Sanchez's user avatar
1 vote
2 answers
129 views

What is the output of a signal in time domain that passed through a High Pass Filter with simple transfer function

If a signal function $ U(t) = 25 – (5 – t)^2$ is passed through a high pass filter with transfer function $\frac{s}{s + ω}$. what is the output signal Y(t). I know that the transfer function $H(s) = \...
Tee's user avatar
  • 33
1 vote
1 answer
100 views

Develop linear parametric model of a third order plant

Consider we have the third order plant described by the equation: $$ y = G(s)u $$ where $\ G(s) = \frac{b_{2}s^{2}+b_{1}s+b_{0}}{s^{3}+a_2s^2+a_1s+a_0} $ If we assume that all parameters $\ a_0,a_1,...
Teo Protoulis's user avatar
1 vote
0 answers
28 views

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 ...
iklanpagi's user avatar
1 vote
0 answers
67 views

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 ...
Zelreedy's user avatar
1 vote
0 answers
333 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. ...
Tee's user avatar
  • 33
1 vote
0 answers
96 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 ...
kucar's user avatar
  • 113
1 vote
1 answer
73 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 ...
Workoft's user avatar
  • 11
1 vote
0 answers
57 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 ...
MelanieW403's user avatar
1 vote
0 answers
291 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'...
DoronS's user avatar
  • 11
1 vote
0 answers
54 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/...
user361222's user avatar
1 vote
1 answer
2k views

Order of a transfer function and its properties

I hope this is the right place to ask since I couldn't find a control systems SE. Lets say we have the transfer function $P(s) = \frac{1}{s(s+15)(s+10)} = \frac{1}{s(s^2+25s+150)}$(completely made up ...
Tryphon's user avatar
  • 13