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Article

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

by
Kazuyoshi Mori
School of Computer Science and Engineering, The University of Aizu, Aizu-Wakamatsu 965-8580, Japan
Information 2019, 10(4), 120; https://doi.org/10.3390/info10040120
Submission received: 5 March 2019 / Revised: 24 March 2019 / Accepted: 24 March 2019 / Published: 31 March 2019
(This article belongs to the Special Issue ICSTCC 2018: Advances in Control and Computers)
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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 Youla–Kučera parametrization; factorization approach; coprime factorization; linear systems

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MDPI and ACS Style

Mori, K. Youla–Kučera Parametrization with no Coprime Factorization—Single-Input Single-Output Case. Information 2019, 10, 120. https://doi.org/10.3390/info10040120

AMA Style

Mori K. Youla–Kučera Parametrization with no Coprime Factorization—Single-Input Single-Output Case. Information. 2019; 10(4):120. https://doi.org/10.3390/info10040120

Chicago/Turabian Style

Mori, Kazuyoshi. 2019. "Youla–Kučera Parametrization with no Coprime Factorization—Single-Input Single-Output Case" Information 10, no. 4: 120. https://doi.org/10.3390/info10040120

APA Style

Mori, K. (2019). Youla–Kučera Parametrization with no Coprime Factorization—Single-Input Single-Output Case. Information, 10(4), 120. https://doi.org/10.3390/info10040120

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