Youla–Kučera Parametrization with no Coprime Factorization—Single-Input Single-Output Case

Abstract

We present a generalization of the Youla—Kučera parametrization to obtain all stabilizing controllers for single-input and single-output plants. This uses three parameters and can be applied to plants that may not admit coprime factorizations. In this generalization, at most two rational expressions of plants are required, while the Youla–Kučera parametrization requires precisely one rational expression.

Keywords

• Youla–Kučera parametrization
• factorization approach
• coprime factorization
• linear systems