Approximating state sets using circumscribing polyhedron with fewer facets

Hian Suan Chew; Lawrence E. Holloway

doi:10.1109/SECON.1999.766080

Approximating state sets using circumscribing polyhedron with fewer facets

Hian Suan Chew, Lawrence E. Holloway

Institute for Sustainable Manufacturing (ISM)

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

Abstract

A polyhedron can be described using a set of linear constraints that bound the polyhedron. This paper considers the problem of approximating a polyhedron with a circumscribing polyhedron with fewer constraints. We discuss three methods to find such a circumscribing polyhedra, and compare the resulting approximation errors using sets of randomly generated polyhedra. The work is motivated by the problem of approximating state estimate sets for a class of uncertain dynamic systems.

Original language	English
Title of host publication	Proceedings - IEEE Southeastcon 1999
Subtitle of host publication	Technology on the Brink of 2000
Pages	14-20
Number of pages	7
ISBN (Electronic)	0780352378
DOIs	https://doi.org/10.1109/SECON.1999.766080
State	Published - 1999
Event	1999 IEEE Southeastcon - Lexington, United States Duration: Mar 25 1999 → Mar 28 1999

Publication series

Name	Conference Proceedings - IEEE SOUTHEASTCON
Volume	1999-March
ISSN (Print)	1091-0050
ISSN (Electronic)	1558-058X

Conference

Conference	1999 IEEE Southeastcon
Country/Territory	United States
City	Lexington
Period	3/25/99 → 3/28/99

Bibliographical note

Publisher Copyright:
© 1999 IEEE.

ASJC Scopus subject areas

Computer Networks and Communications
Software
Electrical and Electronic Engineering
Control and Systems Engineering
Signal Processing

Access to Document

10.1109/SECON.1999.766080

Cite this

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title = "Approximating state sets using circumscribing polyhedron with fewer facets",

abstract = "A polyhedron can be described using a set of linear constraints that bound the polyhedron. This paper considers the problem of approximating a polyhedron with a circumscribing polyhedron with fewer constraints. We discuss three methods to find such a circumscribing polyhedra, and compare the resulting approximation errors using sets of randomly generated polyhedra. The work is motivated by the problem of approximating state estimate sets for a class of uncertain dynamic systems.",

author = "Chew, {Hian Suan} and Holloway, {Lawrence E.}",

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language = "English",

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Approximating state sets using circumscribing polyhedron with fewer facets. / Chew, Hian Suan; Holloway, Lawrence E.
Proceedings - IEEE Southeastcon 1999: Technology on the Brink of 2000. 1999. p. 14-20 (Conference Proceedings - IEEE SOUTHEASTCON; Vol. 1999-March).

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

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AB - A polyhedron can be described using a set of linear constraints that bound the polyhedron. This paper considers the problem of approximating a polyhedron with a circumscribing polyhedron with fewer constraints. We discuss three methods to find such a circumscribing polyhedra, and compare the resulting approximation errors using sets of randomly generated polyhedra. The work is motivated by the problem of approximating state estimate sets for a class of uncertain dynamic systems.

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Approximating state sets using circumscribing polyhedron with fewer facets

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus subject areas

Access to Document

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