Optimal Hankel norm approximation for continuous-time descriptor systems

X. Cao, M.B. Saltik, S. Weiland

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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
ISBN (Print)978-1-5386-5428-6
Publication statusPublished - 9 Aug 2018
Event2018 American Control Conference (ACC 2018) - Hilton Milwaukee City Center Hotel, Milwaukee, Wisconsin, United States
Duration: 27 Jun 201829 Jun 2018


Conference2018 American Control Conference (ACC 2018)
Abbreviated titleACC 2018
Country/TerritoryUnited States
CityMilwaukee, Wisconsin
Internet address


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