Delay-dependent ℒ2-ℒ∞ model reduction for polytopic systems with time-varying delay

Qing Wang; James Lam

doi:10.1109/ICAL.2008.4636118

Delay-dependent ℒ₂-ℒ_∞ model reduction for polytopic systems with time-varying delay

Qing Wang, James Lam

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

2 Citations (Scopus)

Abstract

This paper considers the ℒ₂-ℒ_∞ model reduction problems for polytopic system with time-varying delay. In terms of the solution of linear matrix inequalities (LMIs) and inverse constraints, sufficient conditions are presented to construct the reduced order models such that the ℒ₂-ℒ_∞ gain of the error system between the full order model and the reduced order one is less than a given scalar.

Original language	English
Title of host publication	Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008
Pages	50-55
Number of pages	6
DOIs	https://doi.org/10.1109/ICAL.2008.4636118
Publication status	Published - 2008
Externally published	Yes
Event	IEEE International Conference on Automation and Logistics, ICAL 2008 - Qingdao, China Duration: 1 Sept 2008 → 3 Sept 2008

Publication series

Name	Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008

Conference

Conference	IEEE International Conference on Automation and Logistics, ICAL 2008
Country/Territory	China
City	Qingdao
Period	1/09/08 → 3/09/08

Keywords

Model reduction problems
Polytopic systems with time-varying delay
ℒ-ℒ norm.

ASJC Scopus subject areas

Artificial Intelligence
Hardware and Architecture
Control and Systems Engineering

Access to Document

10.1109/ICAL.2008.4636118

Cite this

Wang, Q., & Lam, J. (2008). Delay-dependent ℒ₂-ℒ_∞ model reduction for polytopic systems with time-varying delay. In Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008 (pp. 50-55). Article 4636118 (Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008). https://doi.org/10.1109/ICAL.2008.4636118

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title = "Delay-dependent ℒ2-ℒ∞ model reduction for polytopic systems with time-varying delay",

abstract = "This paper considers the ℒ2-ℒ∞ model reduction problems for polytopic system with time-varying delay. In terms of the solution of linear matrix inequalities (LMIs) and inverse constraints, sufficient conditions are presented to construct the reduced order models such that the ℒ2-ℒ∞ gain of the error system between the full order model and the reduced order one is less than a given scalar.",

keywords = "Model reduction problems, Polytopic systems with time-varying delay, ℒ-ℒ norm.",

author = "Qing Wang and James Lam",

year = "2008",

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language = "English",

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series = "Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008",

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note = "IEEE International Conference on Automation and Logistics, ICAL 2008 ; Conference date: 01-09-2008 Through 03-09-2008",

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Wang, Q & Lam, J 2008, Delay-dependent ℒ₂-ℒ_∞ model reduction for polytopic systems with time-varying delay. in Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008., 4636118, Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008, pp. 50-55, IEEE International Conference on Automation and Logistics, ICAL 2008, Qingdao, China, 1/09/08. https://doi.org/10.1109/ICAL.2008.4636118

Delay-dependent ℒ₂-ℒ_∞ model reduction for polytopic systems with time-varying delay. / Wang, Qing; Lam, James.
Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008. 2008. p. 50-55 4636118 (Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008).

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

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