# 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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### 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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### 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 ...
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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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### Evaluate “damping” of higher-order transfer function - something similar to settling time without the discontinuities

I have an 11th order transfer function in the continuous domain (simplified linearized model of a grid-forming converter) and I'm looking for a way to characterize it with a single number for ...
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### Determine the transfer function of a movement equation

The problem is the following. I have to control a spaceship (assuming no gravity, no mass, no friction / no external forces). In other words, the first equation in this question leads to $0 = 0$. My ...
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### How to input amplitude on a second order transfer function?

I have some samples of readings from an accelerometer (unit: g) and I did a FFT (on MATLAB) on the vector generated from these samples to see its frequency spectrum. Then I have isolated the peaks and ...
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### 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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### 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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### 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. ...
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### 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 ...
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### 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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### 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 ...