Transfer function synthesis



Control theory

Transfer function

Analog filter
Low Pass Filter
・First-order delay system
 ・Transfer function

 ・Bode plot

・secondary delay system
 ・Transfer function

 ・Bode plot

Butterworth filter

Bessel filter

High Pass Filter
Lagged derivative

All pass filter
 ・Transfer function

 ・Pade approximation

Notch filter

Band pass filter


Release date:2022/12/28         

 ・In Japanese
<Premise knowledge>
 ・Transfer function


This section explains how to synthesize multiple transfer functions and express them as a single transfer function.

■Series combination of transfer functions




■Parallel combination of transfer functions




■Feedback combination of Transfer Functions






<Derivation method>
Take the following feedback coupling as an example. It can be easily derived by putting X as an intermediate variable.



First,


and,


Substitute (2) into (1),


After that, it is obtained by a simple formula transformation.










List of related articles



Control theory

Transfer function

Analog filter
Low Pass Filter
・First-order delay system
 ・Transfer function

 ・Bode plot

・secondary delay system
 ・Transfer function

 ・Bode plot

Butterworth filter

Bessel filter

High Pass Filter
Lagged derivative

All pass filter
 ・Transfer function

 ・Pade approximation

Notch filter

Band pass filter