Optimal Hankel norm approximation for continuous-time descriptor systems

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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.

Original 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
Publication statusPublished - 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

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