# 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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### Do transfer function changed in vertically placed spring damper system when an additional mass is added

Title: Calculating the Transfer Function and Displacement for a Spring-Damper System with Additional Mass I am working on a problem involving a spring-damper system, and I need help with calculating ...
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### Transfer function from a block diagram

Today, I was asked a question in the control lecture. There are extra questions about this block diagram, but I need to find; the transfer function of this feed forward block diagram and find the ...
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### 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 ...
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### 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 ...
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### 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, $10ms$ ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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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(...
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### 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 ...
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### 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 ...
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### 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.
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### 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 ...
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### 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 ...
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### 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 ...
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### 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.
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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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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### 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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### 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
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### 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 ...
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### 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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### 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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### 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/...
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### 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. ...
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### 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. ...
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### 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 ...
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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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### 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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### 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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### 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 ...
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