Formulations of the H∞ control problem by using chain scattering-matrix descriptions

Mi Ching Tsai; Chin Shiong Tsai

doi:10.23919/acc.1992.4792436

Formulations of the H^∞ control problem by using chain scattering-matrix descriptions

Mi Ching Tsai, Chin Shiong Tsai

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Citations (Scopus)

Abstract

By introducing coprime factors of the standard plant of an H^∞ control problem, we show that the closed-loop transfer matrix resulting from a stabilizing controller is equivalent to a (dual) pair of coupled chain scattering-matrices, one right chain scattering-matrix associated with one left chain scattering-matrix, with a free stable matrix. All H^∞ sub-optimal controllers can hence be generated by the solutions of only two coprime factorizations.

Original language	English
Title of host publication	Proceedings of the American Control Conference
Publisher	Publ by American Automatic Control Council
Pages	1870-1871
Number of pages	2
ISBN (Print)	0780302109, 9780780302105
DOIs	https://doi.org/10.23919/acc.1992.4792436
Publication status	Published - 1992
Event	Proceedings of the 1992 American Control Conference - Chicago, IL, USA Duration: 1992 Jun 24 → 1992 Jun 26

Publication series

Name	Proceedings of the American Control Conference
Volume	3
ISSN (Print)	0743-1619

Other

Other	Proceedings of the 1992 American Control Conference
City	Chicago, IL, USA
Period	92-06-24 → 92-06-26

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.23919/acc.1992.4792436

Cite this

@inproceedings{760eaf31d1e44c35b21bf45bba927624,

title = "Formulations of the H∞ control problem by using chain scattering-matrix descriptions",

abstract = "By introducing coprime factors of the standard plant of an H∞ control problem, we show that the closed-loop transfer matrix resulting from a stabilizing controller is equivalent to a (dual) pair of coupled chain scattering-matrices, one right chain scattering-matrix associated with one left chain scattering-matrix, with a free stable matrix. All H∞ sub-optimal controllers can hence be generated by the solutions of only two coprime factorizations.",

author = "Tsai, {Mi Ching} and Tsai, {Chin Shiong}",

year = "1992",

doi = "10.23919/acc.1992.4792436",

language = "English",

isbn = "0780302109",

series = "Proceedings of the American Control Conference",

publisher = "Publ by American Automatic Control Council",

pages = "1870--1871",

booktitle = "Proceedings of the American Control Conference",

note = "Proceedings of the 1992 American Control Conference ; Conference date: 24-06-1992 Through 26-06-1992",

}

Tsai, MC & Tsai, CS 1992, Formulations of the H^∞ control problem by using chain scattering-matrix descriptions. in Proceedings of the American Control Conference. Proceedings of the American Control Conference, vol. 3, Publ by American Automatic Control Council, pp. 1870-1871, Proceedings of the 1992 American Control Conference, Chicago, IL, USA, 92-06-24. https://doi.org/10.23919/acc.1992.4792436

Formulations of the H^∞ control problem by using chain scattering-matrix descriptions. / Tsai, Mi Ching; Tsai, Chin Shiong.
Proceedings of the American Control Conference. Publ by American Automatic Control Council, 1992. p. 1870-1871 (Proceedings of the American Control Conference; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - By introducing coprime factors of the standard plant of an H∞ control problem, we show that the closed-loop transfer matrix resulting from a stabilizing controller is equivalent to a (dual) pair of coupled chain scattering-matrices, one right chain scattering-matrix associated with one left chain scattering-matrix, with a free stable matrix. All H∞ sub-optimal controllers can hence be generated by the solutions of only two coprime factorizations.

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