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Model Reduction of Semistable Distributed Parameter Systems
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0002-4140-1279
Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden..
2019 (English)In: Proceedings 2019 18th European Control Conference (ECC), IEEE , 2019, p. 1944-1950Conference paper, Published paper (Refereed)
Abstract [en]

The model reduction problem for semistable infinite-dimensional control systems is studied in this paper. In relation to these systems, we study an object we call the semistability Gramian, which serves as a generalization of the ordinary controllability Gramian valid for semistable systems. This Gramian is then given geometric as well as algebraic characterization via a Lyapunov equation. We then proceed to show that under a commutativity assumption relating the original and reduced systems, and as long as the semistability is preserved, we may derive a priori error formulas in H-2-norm in terms of the trace of this Gramian.

Place, publisher, year, edition, pages
IEEE , 2019. p. 1944-1950
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-263394DOI: 10.23919/ECC.2019.8796051ISI: 000490488301157Scopus ID: 2-s2.0-85071551616OAI: oai:DiVA.org:kth-263394DiVA, id: diva2:1370125
Conference
18th European Control Conference (ECC), Naples, ITALY, JUN 25-28, 2019
Note

QC 20191114

Available from: 2019-11-14 Created: 2019-11-14 Last updated: 2019-11-14Bibliographically approved

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Ziemann, Ingvar

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