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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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-1 votes
1 answer
51 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.
-1 votes
1 answer
42 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?
0 votes
2 answers
4k 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 ...
3 votes
0 answers
141 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 ...
0 votes
2 answers
365 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)=\...
2 votes
1 answer
58 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 ...
2 votes
1 answer
329 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. ...
-1 votes
1 answer
129 views

How to obtain plant parametric model of given system?

Consider the system: $$ y(s)=b\frac{e^{−sτ}}{s+a}u(s) $$ where a,b are unknown, constant parameters and $\ τ>0 $ is an unknown delay constant. How can I obtain a plant parametric model for this ...
0 votes
2 answers
4k 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 $...
-1 votes
1 answer
99 views

IAM unable to solve these block diagrams

I need transfer functions for the block diagrams... IAM unable to solve those.. can I get help
0 votes
0 answers
46 views

Design op-amp circuit from transfer function

What is the best way to design a circuit based on the following transfer function: $$T(s)=\frac{9216}{(s^2 + 48s + 9216)}$$
-1 votes
1 answer
440 views

Order of a system

I can find it when the transfer function is written in standard form but I don't know how to find it if it is written differently. For example $G(s)=\dfrac{1}{s(s+1)^3}$, is this order three or four?
-1 votes
1 answer
125 views

How to obtain transfer function of control diagram with Internal Model Control?

I want to design a robust control system using the internal model design specifications. The block diagram is the one shown below: I am trying to obtain the transfer function $\ \frac{Y(s)}{R(s)} $ ...
0 votes
1 answer
104 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: $$ C(s) = K_p+K_ds $$ ...
2 votes
1 answer
113 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 ...
1 vote
1 answer
100 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,...
0 votes
1 answer
1k 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 ...
2 votes
1 answer
3k 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\% \...
-1 votes
1 answer
85 views

Designing an RLC circuit with specific transfer function

I have a transfer function below. $H(s)=(s^2+(1/2)s+(1/2))/(s^2+s+1)$ Using this, I have to design an RLC circuit with that transfer function. At first hand, I did some inverse Laplace Transform, ...
0 votes
0 answers
610 views

How to obtain transfer function of servo?

I am using a servo motor and controlling it via arduino. Servo motor is part of a control system and I have to use System Identification techniques in order to obtain the servo's transfer function. ...
0 votes
0 answers
114 views

How do I get the closed-loop transfer function of the system, fitted with a PID controller, if the input valve has a transfer function?

How do I get the closed-loop transfer function of the system, fitted with a PID controller, if the input valve has a transfer function given by: $ \frac{Q(s)}{P(s)} = \frac{Kv}{(Tv*S+I)} $ Where Kv ...
1 vote
0 answers
58 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 ...
0 votes
0 answers
75 views

effect of coupling in MIMO systems

I have a MIMO system with a 2x2 transfer matrix, for example consider: $\begin{pmatrix} \frac{2}{s+1} & \frac{1}{(s+1)(s+2)}\\ \frac{1}{(s+1)(s+2)}&\frac{2}{s+2} \end{pmatrix}$ I would ...
0 votes
1 answer
211 views

What is the appropriate type of controller for this system?

I am given this transfer function for a system: $T\left(s\right)=\frac{9.81}{s^4+0.5s^3+11.2815s^2+4.905s}$ Now, I want to design a controller that will make the closed loop system have an overshoot ...
1 vote
0 answers
292 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'...
0 votes
0 answers
300 views

Can one move the zeros of a transfer function?

This may be a very simple question and I think I know the answer but I would like it to be confirmed by somebody else. My questions regard the zeros of a systems (the roots of the numerator of a ...
0 votes
1 answer
173 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 ...
10 votes
1 answer
665 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 $H$: $$H(\omega) = \frac{V_{out}(\omega)}{V_{in}(\omega)}$$ ...
1 vote
0 answers
54 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/...
0 votes
1 answer
29 views

Input-Output Relation [closed]

If we give a sinusoidal $\cos(\omega t)$ to a 1/s, it means that you just integrate the given input. What if we have the same input but Transfer Funtion with a pole, let's say 1/(s+1), what will be ...
0 votes
1 answer
62 views

Zeros of a Trransfer Function

I would be grateful if someone could explain me what does the value of zeros of a transfer function tell about the dynamics of the system.
9 votes
4 answers
2k 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 ...
1 vote
1 answer
2k 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 ...
3 votes
2 answers
248 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/...
3 votes
1 answer
5k 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 ...
1 vote
0 answers
12 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 ...
0 votes
2 answers
97 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. ...
1 vote
1 answer
1k 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.
4 votes
1 answer
301 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:
1 vote
0 answers
138 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 ...
3 votes
2 answers
3k 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 ...
5 votes
1 answer
166 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 ...
2 votes
0 answers
65 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 ...
4 votes
2 answers
1k 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 ...
2 votes
1 answer
149 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 ...
1 vote
1 answer
2k 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 ...
6 votes
1 answer
982 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 ...
2 votes
1 answer
791 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 ...
1 vote
1 answer
1k 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 ...
7 votes
2 answers
152 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 ...