Transfer function synthesis



Control theory

Transfer function

Analog filter
Low Pass Filter
・First-order delay system
 ・Transfer function
 ・Bode plot
・secondary delay system
 ・Bode plot
Butterworth filter
Bessel filter
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
 ・Bode plot
Butterworth filter
Bessel filter
All pass filter
 ・Transfer function
 ・Pade approximation
Notch filter
Band pass filter