# Questions tagged [transfer-function]

Anything related to transfer functions, i.e. those complex-valued functions of a complex variable used to model mathematically the I/O relationship of linear time-invariant initially-at-rest system using Laplace transform.

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### Transfer function of a classic controller

I want to calculate the transfer function and the gain, zeros and poles of the transfer function, considering that: $$R_1=R_2=R_3$$ $$C_1=C$$ I want to know if this circuit is a P, or PI, or PD, or ...
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### Root Locus in a feedback loop

I'm trying to draw Root Locus by hand from the following block diagram and confirm the result I got from Routh Hurwitz's table: The table of Routh Hurwitz that I got is the following: And from the ...
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### Static and dynamic behaviour of a sensor

On a slide, i read that i can model the static behaviour of a sensor as: whereas it's dynamic behaviour as: Is correct to say that the static behaviour is the steady-state behaviour, while the ...
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### Find the Zero of a simple circuit

I would like to better understand how to find the zero of the transfer function of a circuit by inspection using fast analytical techniques. simulate this circuit – Schematic created using ...
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### Obtain the matrix in a control system with tandem/cascade representation

I'm trying to find tandem/cascade and parallel realization for the following transfer function: $$G(s)=\frac{(s+6)^2}{(s+2)^2(s^2+4s+6)}$$ For Tandem/cascade realization, I draw the following block ...
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### Second order RC filter and transfer function. Best method?

I need to analyze this filter and get the transfer function. I already did the job but I am asking you if there is a better method to solve this one ? (I heard of Facts method but I don't know how to ...
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### Finding the natural frequency

I am trying to figure out the natural frequency and the time constants of a transfer function. Ignoring the numerator and using the denominator of the second order characteristic equation: s^2+2\...
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### Transient Response and s-plane root location

A second-order system has the closed-loop transfer function T(s)=Y(s)/R(s). The system specifications for a unit step input is as follows: I managed to solve the problem until this step. But I am ...
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### How to design a high pass filter given a stopband and cutoff frequency? [duplicate]

I have fs = 132 Hz and fc = 770 Hz I want to design a first order high pass filter that increases gain at a rate of 20dB per decade from 132 Hz until 770 Hz. Before 132 Hz the filter must stay ...
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### How do I convert poles and zeros of a transfer function into a circuit / required circuit components?

I have been given a bode plot of a low pass filter, and tasked with essentially reversing the effects by using a high pass filter. I have solved for the transfer function which is the first equation, ...
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### Transfer function G(s)= 2/(0.0625*s^2+0.1*s+1) phase calculation problem for ω>ωn

I am trying to create a table of values and the bode plot for the tranfer function G(s)= 2/(0.0625*s^2 + 0.1*s + 1). However when i use values above ω{n} the the values of phase does not agree with ...
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### Transfer Function Derivation

Where did the following transfer function come from? $H(s) = -H_o\frac{\frac{\omega_o}{Q}s}{s^2 +\frac{\omega_o}{Q}s + \omega_o^2}$ $H_o$ is the gain at resonant frequency. I'm told it ...
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### Interpretation of the pole of a transfer function of a vibrating platform

I am not able to understand what the frequency where the hydraulic pole occurs (as in the diagram) signifies? To give an overview, there is a vibrating platform and we are seeing its response motion ...