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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10
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1answer
545 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 $H$: $$H(\omega) = \frac{V_{out}(\omega)}{V_{in}(\omega)}$$ ...
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4answers
1k views

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 ...
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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 ...
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3answers
3k views

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 ...
6
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1answer
469 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 ...
6
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1answer
264 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 ...
5
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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 ...
5
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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 ...
4
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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 ...
4
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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:
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2answers
133 views

Frequency Response of a Discrete System

Let's say that I have the following continuous system: $$G(s)= \frac{2}{1+s}$$ I could convert it to a discrete system using for example the Tustin approximation https://en.wikipedia.org/wiki/...
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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 ...
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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 ...
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0answers
39 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 ...
3
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1answer
98 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^\...
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2answers
144 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. ...
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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 ...
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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 ...
2
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1answer
98 views

Help understanding a control system represented by coefficients of theta?

I've been working with control systems and transfer functions recently, but I've come across a format that I haven't seen before using coefficients of theta, and I can't find any information about it. ...
2
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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 ...
2
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1answer
60 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 ...
2
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1answer
34 views

second order linear filter and coefficients sign

Courses on automatics define usually the second order transfer function as $$ H(s) = \frac{1}{\frac{s^2}{w_n^2} + \frac{2z}{w_n} s + 1} $$ (sse here for instance). However, it assumes that the ...
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1answer
47 views

Compare Genetic Algorithms and Markov Chain Monte Carlo in their statistical properties in parameter estimation task

I am using GA and MCMC for estimating the parameters of a transfer function. GA returns results that each parameter has one value when minimizing the error function, and MCMC returns the whole chain ...
2
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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 ...
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0answers
49 views

High Pass Filter Design from Transfer Function

I need to design an active high pass filter circuit that implements the following transfer function: $$G(s)= 4.15\times\dfrac{s+530}{s+2200}$$ where, $K = 4.15$, Pole @ 2200 rad/s and Zero @ 530 rad/...
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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 ...
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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 ...
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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?...
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2answers
69 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 &...
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1answer
568 views

PI controller for second order system

I have a second order system and I need to control it using a PI controller. I need to tune the gains of the controller in order for the system to satisfy the below specifications: $$ OS\% < 10\% \...
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2answers
65 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/...
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1answer
88 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 ...
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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.
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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 ...
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1answer
934 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 ...
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2answers
36 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) = \...
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1answer
55 views

Develop linear parametric model of a third order plant

Consider we have the third order plant described by the equation: $$ y = G(s)u $$ where $\ G(s) = \frac{b_{2}s^{2}+b_{1}s+b_{0}}{s^{3}+a_2s^2+a_1s+a_0} $ If we assume that all parameters $\ a_0,a_1,...
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0answers
37 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. ...
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0answers
28 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 ...
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0answers
44 views

How to derive a value from a transfer function

I have a scenario where a valve q_in(t) is pumping water into a tank of height h(t) and area A, which is then pumped out by a second valve q_out(t) that has a resistance to water flow R. I got this ...
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0answers
219 views

Does the characteristic polynomial contains all the poles of a closed-loop transfer function?

The Transfer Function of a Closed-Loop system is: $T(s)=\frac{Z(s)}{1+G(s)Z(s)}$. The BIBO stability of $T(s)$ is guaranteed if all the poles of $T(s)$ have negative real value. In many textbooks I'...
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1answer
66 views

Phase response of a continuous transfer function

Let $\omega_0 \in \mathbb{R}$ and $\omega_0 > 0$. Be $G(s)$ a transfer function defined as: $$G(s)=\frac{1-\frac{s}{\omega_0}}{1+\frac{s}{\omega_0}}$$ We're interested into evaluating its phase ...
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1answer
341 views

Order of a transfer function and its properties

I hope this is the right place to ask since I couldn't find a control systems SE. Lets say we have the transfer function $P(s) = \frac{1}{s(s+15)(s+10)} = \frac{1}{s(s^2+25s+150)}$(completely made up ...
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0answers
10 views

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 ...
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0answers
79 views

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 ...
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2answers
63 views

mass-friction-spring system with closed loop

My professor told us that it is possible to see the friction in a mass-friction-spring as the contribution of a closed loop control system. He wrote the following formulas: Transfer function: $$G(S)=\...
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1answer
169 views

How to find closed loop transfer function and use it to identify τ and k?

I have to answer a few questions on transfer functions using Matlab. The first question, which I solved without Matlab, gives a time response graph for an LR circuit, and asks me to find the first ...
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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. ...
0
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1answer
33 views

Noise sensitivity transfer function

Consider we have a second order system (plant) described by the following transfer function: $$ P(s) = \frac{b_0}{s^2+a_1*s+a_2} $$ which is controller by a PD-controller: $$ C(s) = K_p+K_ds $$ ...
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2answers
548 views

How to find Performance assessment (IAE and ISE) of a PID Controlled system?

The Integral Absolute value Error (IAE) and the Integral Squared Error (ISE) is to be analysed. A PID Controller is given as follows: \begin{gather} C(s)=K_p+K_i\frac{1}{s}+K_ds \end{gather} where $...