Controllability analysis of two-dimensional systems using 1D approaches

Argha, A; Li, L; Su, SW; Nguyen, H

Controllability analysis of two-dimensional systems using 1D approaches

Argha, A

Li, L

Su, SW

Nguyen, H

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Automatic Control, 2015, 60 (11), pp. 2977 - 2982
Issue Date:: 2015-11-01

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Field	Value	Language
dc.contributor.author	Argha, A https://orcid.org/0000-0002-8276-9774	en_US
dc.contributor.author	Li, L https://orcid.org/0000-0001-8485-2216	en_US
dc.contributor.author	Su, SW https://orcid.org/0000-0002-5720-8852	en_US
dc.contributor.author	Nguyen, H https://orcid.org/0000-0003-3373-8178	en_US
dc.date.issued	2015-11-01	en_US
dc.identifier.citation	IEEE Transactions on Automatic Control, 2015, 60 (11), pp. 2977 - 2982	en_US
dc.identifier.issn	0018-9286	en_US
dc.identifier.uri	http://hdl.handle.net/10453/35688
dc.identifier.uri	http://hdl.handle.net/10453/35626
dc.description.abstract	© 1963-2012 IEEE. Working with the 1D form of 2D systems is an alternative strategy to reduce the inherent complexity of 2D systems. To achieve the 1D form of 2D systems, different from the so-called WAM model, a new row (column) process was proposed recently. The controllability analysis of this new 1D form is explored in this note. Two new notions of controllability named WAM-controllability and directional controllability for the underlying 2D systems are defined. Corresponding conditions on the WAM-controllability and directional controllability are derived, which are particularly useful for the control problems of 2D systems via 1D framework. According to the presented directional controllability, a directional minimum energy control input is derived for 2D systems. A numerical example demonstrates the applicability of the presented analysis.	en_US
dc.relation.ispartof	IEEE Transactions on Automatic Control	en_US
dc.relation.isbasedon	10.1109/TAC.2015.2409908	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Controllability analysis of two-dimensional systems using 1D approaches	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	60	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0913 Mechanical 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/Faculty of Engineering and Information Technology/School of Electrical and Data 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	60	en_US

Abstract:

© 1963-2012 IEEE. Working with the 1D form of 2D systems is an alternative strategy to reduce the inherent complexity of 2D systems. To achieve the 1D form of 2D systems, different from the so-called WAM model, a new row (column) process was proposed recently. The controllability analysis of this new 1D form is explored in this note. Two new notions of controllability named WAM-controllability and directional controllability for the underlying 2D systems are defined. Corresponding conditions on the WAM-controllability and directional controllability are derived, which are particularly useful for the control problems of 2D systems via 1D framework. According to the presented directional controllability, a directional minimum energy control input is derived for 2D systems. A numerical example demonstrates the applicability of the presented analysis.

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http://hdl.handle.net/10453/35626