Optimal Hankel norm approximation for continuous-time descriptor systems

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Samenvatting

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.

Originele taal-2Engels
Titel2018 Annual American Control Conference, ACC 2018
Plaats van productiePiscataway
UitgeverijInstitute of Electrical and Electronics Engineers
Pagina's6409-6414
ISBN van geprinte versie978-1-5386-5428-6
DOI's
StatusGepubliceerd - 9 aug 2018
Evenement2018 Annual American Control Conference, (ACC2018) - Milwauke, Verenigde Staten van Amerika
Duur: 27 jun 201829 jun 2018
http://acc2018.a2c2.org/
http://acc2018.a2c2.org/

Congres

Congres2018 Annual American Control Conference, (ACC2018)
Verkorte titelACC2018
LandVerenigde Staten van Amerika
StadMilwauke
Periode27/06/1829/06/18
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