On H∞ model reduction of continuous time-delay switched systems

Ligang Wu; Wei Xing Zheng

doi:10.1109/ICAL.2007.4338596

On H_∞ model reduction of continuous time-delay switched systems

Ligang Wu, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

South China University of Technology

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

4 Citations (Scopus)

Abstract

The problem of weighted H_∞ model reduction for continuous time-delay switched system is considered. The delay-dependent approaches are used to construct a reducedorder stable system such that the error system with respect to a given delay switched system is exponentially stable and has a prescribed weighted H_∞ performance. The average dwell time approach and the linear matrix inequality (LMI) technique are utilized to establish sufficient conditions that guarantee the exponential stability and the weighted H_∞ performance for the error system. A numerical algorithm is proposed to implement the model reduction. The usefulness of the proposed methodology is demonstrated by an illustrative example.

Original language	English
Title of host publication	Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007
Pages	405-410
Number of pages	6
DOIs	https://doi.org/10.1109/ICAL.2007.4338596
Publication status	Published - 2007
Event	2007 IEEE International Conference on Automation and Logistics, ICAL 2007 - Jinan, China Duration: 18 Aug 2007 → 21 Aug 2007

Publication series

Name	Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007

Conference

Conference	2007 IEEE International Conference on Automation and Logistics, ICAL 2007
Country/Territory	China
City	Jinan
Period	18/08/07 → 21/08/07

Access to Document

10.1109/ICAL.2007.4338596

Cite this

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title = "On H∞ model reduction of continuous time-delay switched systems",

abstract = "The problem of weighted H∞ model reduction for continuous time-delay switched system is considered. The delay-dependent approaches are used to construct a reducedorder stable system such that the error system with respect to a given delay switched system is exponentially stable and has a prescribed weighted H∞ performance. The average dwell time approach and the linear matrix inequality (LMI) technique are utilized to establish sufficient conditions that guarantee the exponential stability and the weighted H∞ performance for the error system. A numerical algorithm is proposed to implement the model reduction. The usefulness of the proposed methodology is demonstrated by an illustrative example.",

author = "Ligang Wu and Zheng, {Wei Xing}",

year = "2007",

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language = "English",

isbn = "1424415314",

series = "Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007",

pages = "405--410",

booktitle = "Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007",

note = "2007 IEEE International Conference on Automation and Logistics, ICAL 2007 ; Conference date: 18-08-2007 Through 21-08-2007",

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Wu, L & Zheng, WX 2007, On H_∞ model reduction of continuous time-delay switched systems. in Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007., 4338596, Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007, pp. 405-410, 2007 IEEE International Conference on Automation and Logistics, ICAL 2007, Jinan, China, 18/08/07. https://doi.org/10.1109/ICAL.2007.4338596

On H_∞ model reduction of continuous time-delay switched systems. / Wu, Ligang; Zheng, Wei Xing.
Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007. 2007. p. 405-410 4338596 (Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007).

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

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