# 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).

98 questions
Filter by
Sorted by
Tagged with
22 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 ...
17 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 ...
32 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 ...
70 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(...
54 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 ...
30 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 ...
55 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.
1 vote
81 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 ...
57 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 ...
61 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 ...
374 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.
70 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 ...
71 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 ...
1 vote
439 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 ... 92 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 ...
1 vote
26 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 ...
212 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 ...
75 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
128 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 $u_1 = 1-U(t - t_0)$, $u_2=0$, ...
1 vote
56 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 ...
304 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 ...
57 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
80 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/...
699 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
265 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. ...
107 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 ...
39 views

1 vote
307 views

41 views

### 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?
485 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 ...
50 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.
107 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 ...