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Dissipativity Theory for Switched Systems

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Date

2005

Authors

Zhao, Jun
Hill, David

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

Abstract

A frame work of dissipativity theory for switched systems using multiple storage functions and multiple supply rates is set up. The exchange of "energy" between the activated subsystem and an inactivated subsystem is characterized by cross supply rates. Stability is reached when all supply rates are non-positive, as long as the total exchanged energy between the activated subsystem and any inactivated subsystems is finite. Passivity and L2-gain are addressed. For both cases, asymptotic stability is guaranteed under certain "negative" output feedback. Feedback invariance of passivity and a small-gain theorem are also given.

Description

Keywords

Keywords: Asymptotic stability; Electric power systems; Energy dissipation; Feedback control; Invariance; Switching networks; Cross supply rates; Dissipativity theory; Energy exchange; Feedback invariance; Power control

Citation

URI

http://hdl.handle.net/1885/82045

Collections

ANU Research Publications

Source

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005

Type

Conference paper

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/CDC.2005.1583289

Restricted until

2037-12-31

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01_Zhao_Dissipativity_Theory_for_2005.pdf (138.54 KB)

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