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Error bounds for balanced truncation of linear time-varying systems
Lund University, Department of Automatic Control.ORCID iD: 0000-0003-1835-2963
Lund University, Department of Automatic Control.
2002 (English)In: Decision and Control, 2002, Proceedings of the 41st IEEE Conference on, 2002, Vol. 3, 2892-2897 p.Conference paper (Refereed)
Abstract [en]

In this paper error bounds for truncated balanced linear time-varying systems in discrete time are obtained. The analysis is based on direct calculations with the time-varying observability and controllability Lyapunov inequalities. The obtained bounds in the induced 2-norm, generalize well-known error-bound formulas for time-invariant systems. The case of time-varying state-space dimension is considered, and this proves to be valuable both for technical and practical reasons. The input-output stability of truncated models is shown to be guaranteed.

Place, publisher, year, edition, pages
2002. Vol. 3, 2892-2897 p.
Keyword [en]
Lyapunov inequalities; balanced truncation; controllability; discrete time systems; error bounds; line systems; model reduction; observability; state-space dimension; time-varying systems; Lyapunov methods; controllability; discrete time systems; linear systems; observability; reduced order systems; stability; state-space methods; time-varying systems;
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-74695DOI: 10.1109/CDC.2002.1184288OAI: diva2:489851
NR 20140805Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2012-02-03Bibliographically approved

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Sandberg, Henrik
Control Engineering

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