Youla–Kucera parametrization
Encyclopedia
In control theory
the Youla–Kucera parametrization (also simply known as Youla parametrization) is a formula that describes all possible stabilizing feedback controllers for a given plant P, as function of a single parameter Q.
Let
be the transfer function of the plant and let 
be a stabilizing controller. Let their right coprime factorizations be:
then all stabilizing controllers can be written as
where Q is stable and proper.
The engineering significance of the YK formula is that if one wants to find a stabilizing controller that meets some additional criterion, one can adjust Q such that the desired criterion is met.
Control theory
Control theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems. The desired output of a system is called the reference...
the Youla–Kucera parametrization (also simply known as Youla parametrization) is a formula that describes all possible stabilizing feedback controllers for a given plant P, as function of a single parameter Q.
Let
be the transfer function of the plant and let be a stabilizing controller. Let their right coprime factorizations be:then all stabilizing controllers can be written as
where Q is stable and proper.
The engineering significance of the YK formula is that if one wants to find a stabilizing controller that meets some additional criterion, one can adjust Q such that the desired criterion is met.