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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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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How to calculate a dynamic response from a transient response graph?
I have a transient graph as shown below and I need a dynamic response of the same.
Probably we can calculate with the help of a transfer function if I am not wrong.
if that is the case, how do I ...
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1answer
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How to find Performance assessment (IAE and ISE) of a PID Controlled system?
The Integral Absolute value Error (IAE) and the Integral Squared Error (ISE) is to be analysed.
A PID Controller is given as follows:
...
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1answer
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How to input amplitude on a second order transfer function?
Please, I have a question that I believe it's simple to solve.
I have some samples of readings from an accelerometer (unit: g) and I did a FFT (on MATLAB) on the vector generated from these samples ...
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1answer
62 views
What is the appropriate type of controller for this system?
I am given this transfer function for a system:
$T\left(s\right)=\frac{9.81}{s^4+0.5s^3+11.2815s^2+4.905s}$
Now, I want to design a controller that will make the closed loop system have an overshoot ...
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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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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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Problem with transfer function in DC Motor
I'm trying to verify whether the transfer function in this control diagram is the one stated in this document.
I tried solving it and got this:
Shifting the armature current $$I_a$$ feedback point ...
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1answer
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Phase response of a continuous transfer function
Let $\omega_0 \in \mathbb{R}$ and $\omega_0 > 0$. Be $G(s)$ a transfer function defined as:
$$G(s)=\frac{1-\frac{s}{\omega_0}}{1+\frac{s}{\omega_0}}$$
We're interested into evaluating its phase ...
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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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Input-Output Relation [closed]
If we give a sinusoidal $\cos(\omega t)$ to a 1/s, it means that you just integrate the given input.
What if we have the same input but Transfer Funtion with a pole, let's say 1/(s+1), what will be ...
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1answer
42 views
Zeros of a Trransfer Function
I would be grateful if someone could explain me what does the value of zeros of a transfer function tell about the dynamics of the system.
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1answer
71 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 ...
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2answers
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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/...
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1answer
131 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 ...
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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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2answers
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How to solve system's general stability from transfer function?
I have a homework which should solve by me. My problem is questions are really simple or should I think outside of the box? Like, bode diagram, nyquist or etc.? And, are my answers correct?
Thanks.
...
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1answer
618 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.
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1answer
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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:
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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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1answer
789 views
Transfer Function of Spring-Damper System
Given the spring-damper system below where $x_i$, $x_i$, and $y_i$ are position values, how do I find the transfer function $\frac{X_o(s)}{X_i(s)}$? Wouldn't it require mass? I tried neglecting the ...
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1answer
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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 ...
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2answers
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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 ...
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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 ...
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2answers
406 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 ...
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1answer
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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 ...
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1answer
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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 ...
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4answers
786 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 ...
2
votes
1answer
571 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 ...
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1answer
615 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 ...
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1answer
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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 ...
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1answer
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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 ...
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2answers
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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 ...
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2answers
406 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?...
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1answer
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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 $H$:
$$H(\omega) = \frac{V_{out}(\omega)}{V_{in}(\omega)}$$
...
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3answers
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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 ...
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1answer
116 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 ...
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1answer
731 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 ...
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2answers
606 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 ...
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0answers
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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 ...
