# 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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### 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 ...
0answers
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### How to combine ODE parameters values from several estimations?

I would like to perform parameters estimation for a differential equation from experiment. If the value of these parameters are obtained from several experiments (repetitions) where for each ...
2answers
73 views

### How to solve system's general stability from transfer function?

I have a homework which should solve by me. My problem is questions are really simple or should I think outside of the box? Like, bode diagram, nyquist or etc.? And, are my answers correct? Thanks. ...
1answer
957 views

### How to tune a PID for a pure integrator system?

Given a plant with a transfer function of K/s, how can I tune a PID to control it? I found articles explaining how to tune an integrator with time delay, but not for just a pure integrator system.
1answer
80 views

### Finding Transfer Function between specific points

Hi I have this block diagram: Now, I want to reduce it to such a block diagram: How do I find H ? I am looking for a general method, of how to approach such problems. Here is what H should be:
0answers
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### Find transfer function from bode diagram?

I've been given this bode diagram : I've been asked to find the transfer function only by using the bode diagram. It's the first time I'm doing this so here's what I thought. The starting value is ...
2answers
2k views

### Transfer Function of Spring-Damper System

Given the spring-damper system below where $x_i$, $x_i$, and $y_i$ are position values, how do I find the transfer function $\frac{X_o(s)}{X_i(s)}$? Wouldn't it require mass? I tried neglecting the ...
1answer
3k views

### What are the Singular Values of a dynamic system and how are they calculated in the *sigma* function in Matlab?

According to Matlab documentation: sigma plots the singular values of the frequency response of a dynamic system. bode creates a Bode plot of the frequency response of a dynamic system. I am ...
2answers
2k views

### Square wave transfer function?

I made a mathematical model (transfer function) of a rlc circuit. I simulated it in matlab simulink with step input and square wave input and observed the result. I can also calculate this system with ...
0answers
63 views

### calculate output $y(t)$ from $Y(z)$ having discrete closed loop model with sine input - residue method

I have closed loop - discrete model. This is how it looks in matlab: I need to compute analitically output $y(t)$ (same as in the Matlab's scope) having $Y(z)$. Where $Y(z)=U(z)*G(z)$ Input is sine ...
2answers
750 views

### Which equations of a state space model influence the poles and zeroes?

In regulation, if we represent a system with a state space model, we end with three matrices A, B and C (without taking into account feed-forward part) that define a specific part of the following ...
1answer
117 views

### Transfer function for hovercraft [closed]

I'm building a hovercraft, which transfer function i have to find for further control. The hovercraft can be found in the following As you can see, the hovercraft has 2 motors for direction. I have ...
1answer
1k views

### Transfer function of a temperature controlled incubation system

I am a computer engineering student and currently having my undergraduate thesis. My thesis is about temperature control system of a chicken egg incubator. I searched over the internet and found this ...
4answers
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### How does load force impact load inertia?

I am trying to simulate a winch as a speed-regulated motor that works through a gearbox to lift a mass. The output of the gearbox is a drum, which rotates to accumulate cable. I feel comfortable ...
1answer
679 views

### Is lead filter same as PD combined with a low pass filter?

I am curious to know the difference between a lead compensator (lead filter) and a PD controller with a low pass filter. From the theory I can see that the transfer function of both these controllers ...
1answer
936 views

### Closed loop response of a discrete system

I have trasfer functions of a plant and a controller in laplace domain. I checked for the closed loop response by applying a step response. The system is found to be stable. I checked the response ...
1answer
470 views

### mass calculation from transfer function or bodeplot

I have a double mass rotary model. The two masses are connected by an axis which together acts as a spring damper system of the fourth order. The system is actuated by a motor and the angle of ...
1answer
128 views

### System Identification 1-d altitude control

One dimensional altitude control of a hovercraft. The model's dynamic equations that I came up with are, I treat the hover craft as a rigid particle and my goal is to have it hover at or reach a ...
2answers
116 views

### Unexpected Results from my Transfer Function

I have a system that can be modeled with the following picture: There is a mass $m$ connected to a spring $k$ and a dashpot $d$. These are both connected to another dashpot $c$. A force $F(t)$ is ...
2answers
559 views

### Practical examples of LTI transfer function

My question is pretty simple. The transfer function of an LTI system seems rather limited in use since the initial conditions must be zero. What are some practical engineering uses of it, and examples?...
1answer
546 views

### Response of a system to a step function (Heaviside function)

I'd like to compute the response to a step function of a electrical/thermal system. Generally I can "easily" compute the transfer function $H$: $$H(\omega) = \frac{V_{out}(\omega)}{V_{in}(\omega)}$$ ...
3answers
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### What do the zeros of the transfer function tell you about a system?

I come from a mathematics background and I'm familiar with laplace transforms in-as-far-as they provide an algebraic method to solve ordinary differential equations. So, when I read about transfer ...
1answer
123 views

### How can I extract transfer function an unknown nonlinear system?

I am trying to do PID control for my servo electronic motor system. This system uses SSI encoder output for feedback mechanism. I will calculate PID parameters according to ziegler nichols tuning ...
1answer
1k views

### Determine the range of values for a PI controller

This is a basic control theory question, since Control Theory is a part of applied mathematics but also of engineering I was unsure whether to ask this here. The question says: Given the transfer ...
2answers
1k 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 ...
0answers
173 views

### Thermal transfer function of an isotropic material

Consider a piece of material of infinite extent (i.e. no boundaries) with a point source of heat at its center which oscillates at frequency $\omega$ about the mean temperature $\langle T\rangle$. If ...