Optimal Hankel norm approximation for continuous-time descriptor systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

This paper discusses optimal Hankel norm approximations (HNA) of continuous-time descriptor systems. The main results are based on the fact that the system can be decomposed into a slow subsystem and a fast subsystem. We mainly stress the reduction for the subsystems. In this sense, the novelty is two-fold. First, by exploring the structure of the Hankel matrix associated with the fast subsystem, a connection between reachability, observability and the system index is discovered. Second, an index reduction technique is proposed by reducing the system in the optimal Hankel norm manner. Numerical examples are tested to demonstrate the theoretical aspects of the article.

LanguageEnglish
Title of host publication2018 Annual American Control Conference, ACC 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages6409-6414
ISBN (Print)978-1-5386-5428-6
DOIs
StatePublished - 9 Aug 2018
Event2018 Annual American Control Conference, (ACC2018) - Milwauke, United States
Duration: 27 Jun 201829 Jun 2018
http://acc2018.a2c2.org/
http://acc2018.a2c2.org/

Conference

Conference2018 Annual American Control Conference, (ACC2018)
Abbreviated titleACC2018
CountryUnited States
CityMilwauke
Period27/06/1829/06/18
Internet address

Fingerprint

Observability

Cite this

Cao, X., Saltik, M. B., & Weiland, S. (2018). Optimal Hankel norm approximation for continuous-time descriptor systems. In 2018 Annual American Control Conference, ACC 2018 (pp. 6409-6414). [8431684] Piscataway: Institute of Electrical and Electronics Engineers. DOI: 10.23919/ACC.2018.8431684
Cao, X. ; Saltik, M.B. ; Weiland, S./ Optimal Hankel norm approximation for continuous-time descriptor systems. 2018 Annual American Control Conference, ACC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2018. pp. 6409-6414
@inproceedings{1828200d367e4d0991fe7310a8b44227,
title = "Optimal Hankel norm approximation for continuous-time descriptor systems",
abstract = "This paper discusses optimal Hankel norm approximations (HNA) of continuous-time descriptor systems. The main results are based on the fact that the system can be decomposed into a slow subsystem and a fast subsystem. We mainly stress the reduction for the subsystems. In this sense, the novelty is two-fold. First, by exploring the structure of the Hankel matrix associated with the fast subsystem, a connection between reachability, observability and the system index is discovered. Second, an index reduction technique is proposed by reducing the system in the optimal Hankel norm manner. Numerical examples are tested to demonstrate the theoretical aspects of the article.",
author = "X. Cao and M.B. Saltik and S. Weiland",
year = "2018",
month = "8",
day = "9",
doi = "10.23919/ACC.2018.8431684",
language = "English",
isbn = "978-1-5386-5428-6",
pages = "6409--6414",
booktitle = "2018 Annual American Control Conference, ACC 2018",
publisher = "Institute of Electrical and Electronics Engineers",
address = "United States",

}

Cao, X, Saltik, MB & Weiland, S 2018, Optimal Hankel norm approximation for continuous-time descriptor systems. in 2018 Annual American Control Conference, ACC 2018., 8431684, Institute of Electrical and Electronics Engineers, Piscataway, pp. 6409-6414, 2018 Annual American Control Conference, (ACC2018), Milwauke, United States, 27/06/18. DOI: 10.23919/ACC.2018.8431684

Optimal Hankel norm approximation for continuous-time descriptor systems. / Cao, X.; Saltik, M.B.; Weiland, S.

2018 Annual American Control Conference, ACC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2018. p. 6409-6414 8431684.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Optimal Hankel norm approximation for continuous-time descriptor systems

AU - Cao,X.

AU - Saltik,M.B.

AU - Weiland,S.

PY - 2018/8/9

Y1 - 2018/8/9

N2 - This paper discusses optimal Hankel norm approximations (HNA) of continuous-time descriptor systems. The main results are based on the fact that the system can be decomposed into a slow subsystem and a fast subsystem. We mainly stress the reduction for the subsystems. In this sense, the novelty is two-fold. First, by exploring the structure of the Hankel matrix associated with the fast subsystem, a connection between reachability, observability and the system index is discovered. Second, an index reduction technique is proposed by reducing the system in the optimal Hankel norm manner. Numerical examples are tested to demonstrate the theoretical aspects of the article.

AB - This paper discusses optimal Hankel norm approximations (HNA) of continuous-time descriptor systems. The main results are based on the fact that the system can be decomposed into a slow subsystem and a fast subsystem. We mainly stress the reduction for the subsystems. In this sense, the novelty is two-fold. First, by exploring the structure of the Hankel matrix associated with the fast subsystem, a connection between reachability, observability and the system index is discovered. Second, an index reduction technique is proposed by reducing the system in the optimal Hankel norm manner. Numerical examples are tested to demonstrate the theoretical aspects of the article.

UR - http://www.scopus.com/inward/record.url?scp=85052570079&partnerID=8YFLogxK

U2 - 10.23919/ACC.2018.8431684

DO - 10.23919/ACC.2018.8431684

M3 - Conference contribution

SN - 978-1-5386-5428-6

SP - 6409

EP - 6414

BT - 2018 Annual American Control Conference, ACC 2018

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Cao X, Saltik MB, Weiland S. Optimal Hankel norm approximation for continuous-time descriptor systems. In 2018 Annual American Control Conference, ACC 2018. Piscataway: Institute of Electrical and Electronics Engineers. 2018. p. 6409-6414. 8431684. Available from, DOI: 10.23919/ACC.2018.8431684