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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questions
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Mathematical model of an hydraulic jack
How to find a mathematical model of this hydraulic jack system?
I'm confused about the part when the piston extender, check valve 1 opens and check valve 2 closes, then liquid from the bottom tank ...
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0answers
32 views
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
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1answer
62 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 $u_1 = 1-U(t - t_0)$, $u_2=0$, ...
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0answers
24 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 ...
3
votes
1answer
79 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 ...
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0answers
42 views
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;
$H[z]=\frac{Y[z]}{X[z]}$
$H[z]=1+0.8z^\frac{-1}{5}$
...
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2answers
68 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/...
2
votes
2answers
264 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. ...
1
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0answers
60 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.
...
0
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1answer
57 views
How to model this real-world system to define transfer function for stability?
The system shown is an off-axis drive system that rotates the platform to 60° via a substantially-sized NEMA 34 stepper motor. The axial force required by the stepper/ballscrew assembly has already ...
0
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1answer
30 views
Transfer Function
Hi Guys I am trying to evaluate the following transfer function below can anyone verify if this is correct
$$e_i = -d_{r,i} + d_i $$
$$d_i = q_{i-1}-q_i$$
$$d_{r,i} =H_iq_i$$
$$Therefore, e_i = -...
0
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1answer
59 views
Closed Loop transfer Function
Hi Guys wanted some help for breaking down a block diagram which can be seen below. I know that typically with feedback systems be it negative or positive you would employ using the following:-
Close ...
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0answers
29 views
How could we calculate the coefficient of a PI controller (ki - kp) which regulates the voltage of the DC bus link of a three-phase inverter?
From my calculations I arrived at a non-linear equation :
$$ C\frac{dV_{dc}}{dt} = 3e_q\frac{I_q}{2}V_{dc} - \frac{V_{dc}}{R_{dc}} $$
I have calculated the operating points which are $I_q = 9.58A$, $...
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2answers
178 views
Determine the transfer function of a movement equation
The problem is the following. I have to control a spaceship (assuming no gravity, no mass, no friction / no external forces). In other words, the first equation in this question leads to $0 = 0$. My ...
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2answers
53 views
What is the output of a signal in time domain that passed through a High Pass Filter with simple transfer function
If a signal function $ U(t) = 25 – (5 – t)^2$ is passed through a high pass filter with transfer function $\frac{s}{s + ω}$. what is the output signal Y(t). I know that the transfer function $H(s) = \...
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Evaluating Steady State Error Constant for a Discrete Time Control System with Kronecker Delta Input
Hello there, hope you are doing well.
I am working on a Discrete Time Control Systems homework and at a certain part of it, the question asks me to find the steady state error of the system. I ...
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43 views
How to model a double transfer function in Simulink?
I'm trying to model an actuator in Simulink based transfer functions previously derived.
One of functions is $$\omega_p=G_2(K_cG_1V_c-c)$$ where $$G_1=\frac{K_e}{\tau_es+1}$$ $$G_2=\frac{1}{c+...
2
votes
1answer
93 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:
$$\frac{dx}{dt} = Ax(t) + Bu(t) \Rightarrow ...
1
vote
1answer
102 views
How can I get final value of $V_{out}$ at $t=∞$ in RC circuit?
I can obtain the transfer function in this RC circuit.
$$ \frac{V_{out}}{V_{in}} = \frac{1}{(RCs+1)} $$
When $V_{in}$ is set to $10V$, how can I get final value of $V_{out}$ at $t=∞$?
I tried to use ...
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1answer
241 views
How to calculate the open-loop transfer function with disturbance at the input of the plant
I have the system as follows:
I am trying to find the transfer function:
$$ T(s) = \frac{Y(s)}{U(s)}$$
where $Y(s)$ is the output and $U(s)$ is the input of the plant.
The plant is $H(s)$.
I have got ...
1
vote
2answers
81 views
How to get a transfer function from this block diagram?
Pardon my paint skills, I did my best
My attempt is short and seems to fail, I have no idea why:
$$\begin{align}
\alpha &= in - a_{1}\beta - a_{2}\gamma \\
\beta &= \alpha z^{-1} \\
\gamma &...
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1answer
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Did I get the correct result? Block reduction problem
After solving I got
$$T(s) = \frac{s^{2}+3s+3}{(s+1)(s+2)}$$
and for the stability of the system I got:
$$ s_1 = -1 $$
$$ s_2 = -2 $$
So, is the system stable?
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1answer
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Phase shift of transfer function using MATLAB
I'm trying to compute the phase shift of a transfer function (accelerance) in MATLAB, but I'm having issues.
The transfer function was computed by dividing the magnitude of the system output by the ...
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1answer
49 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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0answers
63 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 ...
0
votes
2answers
77 views
mass-friction-spring system with closed loop
My professor told us that it is possible to see the friction in a mass-friction-spring as the contribution of a closed loop control system. He wrote the following formulas:
Transfer function:
$$G(S)=\...
2
votes
1answer
39 views
second order linear filter and coefficients sign
Courses on automatics define usually the second order transfer function as
$$
H(s) = \frac{1}{\frac{s^2}{w_n^2} + \frac{2z}{w_n} s + 1}
$$
(sse here for instance).
However, it assumes that the ...
2
votes
1answer
134 views
Help understanding a control system represented by coefficients of theta?
I've been working with control systems and transfer functions recently, but I've come across a format that I haven't seen before using coefficients of theta, and I can't find any information about it. ...
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1answer
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IAM unable to solve these block diagrams
I need transfer functions for the block diagrams... IAM unable to solve those.. can I get help
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1answer
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Order of a system
I can find it when the transfer function is written in standard form but I don't know how to find it if it is written differently. For example $G(s)=\dfrac{1}{s(s+1)^3}$, is this order three or four?
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1answer
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How to obtain transfer function of control diagram with Internal Model Control?
I want to design a robust control system using the internal model design specifications. The block diagram is the one shown below:
I am trying to obtain the transfer function $\ \frac{Y(s)}{R(s)} $ ...
1
vote
1answer
36 views
Evaluate "damping" of higher-order transfer function - something similar to settling time without the discontinuities
I have an 11th order transfer function in the continuous domain (simplified linearized model of a grid-forming converter) and I'm looking for a way to characterize it with a single number for ...
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1answer
38 views
Noise sensitivity transfer function
Consider we have a second order system (plant) described by the following transfer function:
$$ P(s) = \frac{b_0}{s^2+a_1*s+a_2} $$
which is controller by a PD-controller:
$$ C(s) = K_p+K_ds $$
...
2
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1answer
51 views
Compare Genetic Algorithms and Markov Chain Monte Carlo in their statistical properties in parameter estimation task
I am using GA and MCMC for estimating the parameters of a transfer function. GA returns results that each parameter has one value when minimizing the error function, and MCMC returns the whole chain ...
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1answer
323 views
How to find closed loop transfer function and use it to identify τ and k?
I have to answer a few questions on transfer functions using Matlab. The first question, which I solved without Matlab, gives a time response graph for an LR circuit, and asks me to find the first ...
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1answer
98 views
How to obtain plant parametric model of given system?
Consider the system:
$$ y(s)=b\frac{e^{−sτ}}{s+a}u(s) $$
where a,b are unknown, constant parameters and $\ τ>0 $ is an unknown delay constant. How can I obtain a plant parametric model for this ...
1
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1answer
64 views
Develop linear parametric model of a third order plant
Consider we have the third order plant described by the equation:
$$ y = G(s)u $$
where $\ G(s) = \frac{b_{2}s^{2}+b_{1}s+b_{0}}{s^{3}+a_2s^2+a_1s+a_0} $
If we assume that all parameters $\ a_0,a_1,...
4
votes
2answers
147 views
Finding coefficients for a PID controller that minimize the integral of the squared error (ISE)
The problem
The problem is to find the coefficients for the P, I and D terms of a PID controller used to regulate the object that minimize the the integral of the squared error (ISE):
$$Q = \int_0^\...
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1answer
52 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, ...
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0answers
36 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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380 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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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
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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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0answers
55 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 ...
0
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2answers
1k views
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:
\begin{gather}
C(s)=K_p+K_i\frac{1}{s}+K_ds
\end{gather}
where $...
0
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1answer
66 views
How to input amplitude on a second order transfer function?
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 to see its frequency spectrum. Then I have isolated the peaks and ...
2
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1answer
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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\% \...
0
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1answer
144 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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0answers
239 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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121 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 ...
