Use of integrator in nonlinear H<inf>∞</inf> design for disturbance rejection

Su, SW; Anderson, BDO; Brinsmead, TS

Use of integrator in nonlinear H<inf>∞</inf> design for disturbance rejection

Su, SW

Anderson, BDO Brinsmead, TS

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Publication Type:: Journal Article
Citation:: Automatica, 2002, 38 (11), pp. 1951 - 1957
Issue Date:: 2002-11-01

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Field	Value	Language
dc.contributor.author	Su, SW https://orcid.org/0000-0002-5720-8852	en_US
dc.contributor.author	Anderson, BDO	en_US
dc.contributor.author	Brinsmead, TS	en_US
dc.date.issued	2002-11-01	en_US
dc.identifier.citation	Automatica, 2002, 38 (11), pp. 1951 - 1957	en_US
dc.identifier.issn	0005-1098	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9339
dc.description.abstract	The disturbance suppression problem for nonlinear systems is examined in this paper. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H∞ disturbance suppression problem. We extend this H∞ problem to the nonlinear case, and present a method to reduce the order of the state feedback Hamilton-Jacobi (HJ) partial differential equation for this nonlinear H∞ problem by extending the concept of comprehensive stability (Proceedings of the 36th Conference on Decision and Control, 1997, p. 4653; IEEE Trans. Ind. Electron. (1998) 488). Finally, we investigate the structure of the output feedback H∞ controller for disturbance suppression, and draw the conclusion that, as in the linear case, there must also be an integrator in the controller. © 2002 Elsevier Science Ltd. All rights reserved.	en_US
dc.relation.ispartof	Automatica	en_US
dc.relation.isbasedon	10.1016/S0005-1098(02)00117-6	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Use of integrator in nonlinear H<inf>∞</inf> design for disturbance rejection	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	38	en_US
utslib.for	091302 Automation and Control Engineering	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	08 Information and Computing Sciences	en_US
utslib.for	09 Engineering	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 Biomedical Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	open_access
pubs.issue	11	en_US
pubs.publication-status	Published	en_US
pubs.volume	38	en_US

Abstract:

The disturbance suppression problem for nonlinear systems is examined in this paper. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H∞ disturbance suppression problem. We extend this H∞ problem to the nonlinear case, and present a method to reduce the order of the state feedback Hamilton-Jacobi (HJ) partial differential equation for this nonlinear H∞ problem by extending the concept of comprehensive stability (Proceedings of the 36th Conference on Decision and Control, 1997, p. 4653; IEEE Trans. Ind. Electron. (1998) 488). Finally, we investigate the structure of the output feedback H∞ controller for disturbance suppression, and draw the conclusion that, as in the linear case, there must also be an integrator in the controller. © 2002 Elsevier Science Ltd. All rights reserved.

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http://hdl.handle.net/10453/9339