# 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).

105 questions
Filter by
Sorted by
Tagged with
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 ...
39 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 ...
896 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 ...
62 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, $10ms$ ...
90 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 ...
210 views

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
70 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 ...
25 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 ...
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 ...
41 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 ...
649 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 ...
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 ...
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 ...
18 views

I have derived transfer function of a dc motor (armature controlled). Its input is armature voltage and output is speed of motor in rad/s. How do I observe open loop characteristics with an external ...
40 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 ...
133 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.
98 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 ...
55 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 ...
650 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
281 views

### Constructing a block diagram from equations

$$X(s) = -A X(s) + Z(s) +B W(s)$$ $$W(s)= C X(s) -D W(s)$$ $$Y(s)= E W(s)$$ My question is would the system be ...
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 ...
485 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 ...
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 ...
69 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 ...
78 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
775 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
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 ...
334 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 ...
97 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
192 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 $u_1 = 1-U(t - t_0)$, $u_2=0$, ...
808 views

117 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 ...
139 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 ...
104 views

96 views

1 vote
### 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 ...