H<sup>∞</sup> control for discrete-time nonlinear switching systems

Zhang, H; Huang, S; James, MR

H<sup>∞</sup> control for discrete-time nonlinear switching systems

Zhang, H Huang, S

James, MR

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Publication Type:: Journal Article
Citation:: International Journal of Robust and Nonlinear Control, 2008, 18 (15), pp. 1451 - 1481
Issue Date:: 2008-10-01

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Field	Value	Language
dc.contributor.author	Zhang, H	en_US
dc.contributor.author	Huang, S https://orcid.org/0000-0002-6124-4178	en_US
dc.contributor.author	James, MR	en_US
dc.date.issued	2008-10-01	en_US
dc.identifier.citation	International Journal of Robust and Nonlinear Control, 2008, 18 (15), pp. 1451 - 1481	en_US
dc.identifier.issn	1049-8923	en_US
dc.identifier.uri	http://hdl.handle.net/10453/12767
dc.description.abstract	This paper formulates and solves the robust H∞ control problem for discrete-time nonlinear switching systems. The H∞ control problem is interpreted as the l2 finite gain control problem and is studied using a dissipative systems theory for switched systems. Both state and measurement feedback control problems are formulated as dynamic games and solved using dynamic programming. The partially observed dynamic game corresponding to the measurement feedback control problem is solved by transforming into a completely observed, full state infinite-dimensional game problem using information states. Our results are illustrated with an example. Copyright © 2007 John Wiley & Sons, Ltd.	en_US
dc.relation.ispartof	International Journal of Robust and Nonlinear Control	en_US
dc.relation.isbasedon	10.1002/rnc.1282	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	H<sup>∞</sup> control for discrete-time nonlinear switching systems	en_US
dc.type	Journal Article
utslib.citation.volume	15	en_US
utslib.citation.volume	18	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
dc.location.activity	ISI:000261409900001	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CAS - Centre for Autonomous Systems
utslib.copyright.status	closed_access
pubs.issue	15	en_US
pubs.publication-status	Published	en_US
pubs.volume	18	en_US

Abstract:

This paper formulates and solves the robust H∞ control problem for discrete-time nonlinear switching systems. The H∞ control problem is interpreted as the l2 finite gain control problem and is studied using a dissipative systems theory for switched systems. Both state and measurement feedback control problems are formulated as dynamic games and solved using dynamic programming. The partially observed dynamic game corresponding to the measurement feedback control problem is solved by transforming into a completely observed, full state infinite-dimensional game problem using information states. Our results are illustrated with an example. Copyright © 2007 John Wiley & Sons, Ltd.

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http://hdl.handle.net/10453/12767