Closed-loop/Open-loop transfer function



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:2023/1/22         

 ・In Japanese
<Premise knowledge>
 ・Transfer function
 ・Transfer function synthesis


Describes how to shape the closed-loop transfer function into the form of the open-loop transfer function. It is used to determine whether the system including feedback is stable or not. As prerequisite knowledge, it is necessary to understand how to synthesize transfer functions.

■Closed-loop transfer function

An example of the transfer function of the feedback system is as follows.


■Open-loop transfer function

Explain the open-loop transfer function when the closed loop is cut.



In the above case, the form is the same as a simple open-loop transfer function, but you can see that the form is different when the closed-loop transfer function is changed to the open-loop transfer function as shown below.











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