Skip to main content

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).

Filter by
Sorted by
Tagged with
0 votes
2 answers
944 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 ...
0 votes
1 answer
71 views

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, $10ms$ ...
0 votes
1 answer
96 views

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 ...
0 votes
1 answer
228 views

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(...
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 ...
0 votes
1 answer
37 views

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 ...
0 votes
1 answer
41 views

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 ...
0 votes
1 answer
27 views

How would you take the Inverse Laplace Transform of this function?

I have obtained the transfer function for a two-tank hydraulic system. I wish to obtain the time response for which I need to perform the Inverse Laplace Transform and have the function with natural ...
0 votes
0 answers
14 views

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 ...
0 votes
0 answers
42 views

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 ...
0 votes
1 answer
815 views

Transfer functions of a closed loop system subjected to a disturbance

There is a system with two controllers in series having the transfer functions G1(s) and G2(s) which is separated by a summing point through which the disturbance D(s) enters the system. The output ...
0 votes
0 answers
30 views

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 ...
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 ...
0 votes
1 answer
45 views

Clamp function transfer function

I feel like this should be simpler than I'm finding it, but here goes. I need a transfer function for the function y(t)=u(t)H(u(t)-m)(1-H(u(t)-M)). This is the ...
-2 votes
1 answer
151 views

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.
0 votes
0 answers
100 views

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 ...
0 votes
0 answers
58 views

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 ...
0 votes
1 answer
732 views

Calculating the transfer function of this block diagram

I'm not really sure what steps to take to solve the problem. I tried with G4 and G2 first but I'm not sure if that is the correct way.
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 ...
0 votes
1 answer
58 views

Controlling a system in a particular direction

In Discrete-time Control Engineering by Katsuhiko Ogata, it is stated that "A necessary and sufficient condition for complete state controllability is that no cancellation occurs in the pulse ...
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 ...
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 ...
0 votes
1 answer
70 views

How to get difference equation from this block diagram

I was posed a very similiar block diagram in my exam from this book (Alan V Oppenheim Ronald W Schafer - Discrete-Time Signal Processing-Pearson Education) but couldn't solve it: I want to solve for ...
0 votes
0 answers
79 views

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 ...
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 ...
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 ...
-1 votes
2 answers
347 views

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 ...
0 votes
0 answers
100 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
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 $u_1 = 1-U(t - t_0)$, $u_2=0$, ...
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^\...
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 ...
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 ...
0 votes
0 answers
59 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; $H[z]=\frac{Y[z]}{X[z]}$ $H[z]=1+0.8z^\frac{-1}{5}$ ...
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/...
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. ...
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. ...
0 votes
1 answer
139 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 votes
1 answer
44 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 votes
1 answer
119 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 ...
0 votes
1 answer
140 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 ...
0 votes
0 answers
107 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 $I_q = 9.58A$, $...
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) = \...
0 votes
0 answers
96 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+...
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 ...
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 ...
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 ...
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 &...
-1 votes
1 answer
591 views

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 ...
-1 votes
1 answer
990 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 votes
1 answer
51 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.