Guaranteed error bounds for model reduction of linear time-varying systems

Sanjay Lall; Carolyn Beck; Geir Dullerud

doi:10.1109/ACC.1998.694747

Guaranteed error bounds for model reduction of linear time-varying systems

Sanjay Lall, Carolyn Beck, Geir Dullerud

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

New techniques are presented for the model reduction of linear time-varying and linear periodically-varying systems, including the formulation and proof of guaranteed upper bounds for the error. The commonly used method of balanced truncation for linear time-invariant systems is generalized to the time-varying case with explicit error bounds that are derived based on generalizations of the 'twice-the-sum-of-the-tail' formula. The development of these reduction results for time-varying systems relies on a new operator framework for analysis of linear time-varying systems, presented in [4], in combination with the model reduction methods for uncertain systems developed in [3].

Original language	English (US)
Title of host publication	Proceedings of the 1998 American Control Conference, ACC 1998
Pages	634-638
Number of pages	5
DOIs	https://doi.org/10.1109/ACC.1998.694747
State	Published - 1998
Externally published	Yes
Event	1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: Jun 24 1998 → Jun 26 1998

Publication series

Name	Proceedings of the American Control Conference
Volume	1
ISSN (Print)	0743-1619

Other

Other	1998 American Control Conference, ACC 1998
Country/Territory	United States
City	Philadelphia, PA
Period	6/24/98 → 6/26/98

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/ACC.1998.694747

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Lall, S, Beck, C & Dullerud, G 1998, Guaranteed error bounds for model reduction of linear time-varying systems. in Proceedings of the 1998 American Control Conference, ACC 1998., 694747, Proceedings of the American Control Conference, vol. 1, pp. 634-638, 1998 American Control Conference, ACC 1998, Philadelphia, PA, United States, 6/24/98. https://doi.org/10.1109/ACC.1998.694747

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doi = "10.1109/ACC.1998.694747",

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AB - New techniques are presented for the model reduction of linear time-varying and linear periodically-varying systems, including the formulation and proof of guaranteed upper bounds for the error. The commonly used method of balanced truncation for linear time-invariant systems is generalized to the time-varying case with explicit error bounds that are derived based on generalizations of the 'twice-the-sum-of-the-tail' formula. The development of these reduction results for time-varying systems relies on a new operator framework for analysis of linear time-varying systems, presented in [4], in combination with the model reduction methods for uncertain systems developed in [3].

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Guaranteed error bounds for model reduction of linear time-varying systems

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