Coprime factorizations

Mi-Ching Tsai, Da Wei Gu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Coprime factorization originates from algebra studied by French mathematician E. Bezout [1]. In recent years, it has been used to describe dynamic systems [6]. Coprime factorization can be applied in controller synthesis for a given dynamic system with uncertainties [7, 8]. The factorizations can be further employed to construct the set of all stabilizing controllers for the system and to represent a simple parameterization of all stabilized closed-loop transfer functions. In addition, the normalized coprime factorization which will be introduced in this chapter has a strong link to the H loop-shaping problem [4]. It is also relevant to the spectral factorizations and internal stability.

Original languageEnglish
Title of host publicationAdvances in Industrial Control
PublisherSpringer International Publishing
Pages145-170
Number of pages26
Edition9781447162568
DOIs
Publication statusPublished - 2014 Jan 1

Publication series

NameAdvances in Industrial Control
Number9781447162568
ISSN (Print)1430-9491
ISSN (Electronic)2193-1577

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Factorization
Dynamical systems
Controllers
Parameterization
Algebra
Transfer functions

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Industrial and Manufacturing Engineering

Cite this

Tsai, M-C., & Gu, D. W. (2014). Coprime factorizations. In Advances in Industrial Control (9781447162568 ed., pp. 145-170). (Advances in Industrial Control; No. 9781447162568). Springer International Publishing. https://doi.org/10.1007/978-1-4471-6257-5_6
Tsai, Mi-Ching ; Gu, Da Wei. / Coprime factorizations. Advances in Industrial Control. 9781447162568. ed. Springer International Publishing, 2014. pp. 145-170 (Advances in Industrial Control; 9781447162568).
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Tsai, M-C & Gu, DW 2014, Coprime factorizations. in Advances in Industrial Control. 9781447162568 edn, Advances in Industrial Control, no. 9781447162568, Springer International Publishing, pp. 145-170. https://doi.org/10.1007/978-1-4471-6257-5_6

Coprime factorizations. / Tsai, Mi-Ching; Gu, Da Wei.

Advances in Industrial Control. 9781447162568. ed. Springer International Publishing, 2014. p. 145-170 (Advances in Industrial Control; No. 9781447162568).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Tsai M-C, Gu DW. Coprime factorizations. In Advances in Industrial Control. 9781447162568 ed. Springer International Publishing. 2014. p. 145-170. (Advances in Industrial Control; 9781447162568). https://doi.org/10.1007/978-1-4471-6257-5_6