# 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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### 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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### Design of the parameter of a transfer function so that output can reduce to zero

Here is a transfer function. $$G_2(s) = \frac{Y(s)}{F(s)} = \frac{M_1s^2+K_1}{(99s^2+30000+K_1)(M_1s^2+K_1)-K_1^2} = \frac{M_1s^2+K_1}{99M_1s^4+(99K_1+30000M_1+K_1M_1)s^2+30000K_1}$$ The output to the ...
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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 ...
1 vote
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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; $H[z]=\frac{Y[z]}{X[z]}$ $H[z]=1+0.8z^\frac{-1}{5}$ ...
1 vote
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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. ...
1 vote
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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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### 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, ...
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### Design op-amp circuit from transfer function

What is the best way to design a circuit based on the following transfer function: $$T(s)=\frac{9216}{(s^2 + 48s + 9216)}$$
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### 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. ...
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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 ...