Saturated linear quadratic regulation of uncertain linear systems: Stability region estimation and controller design

Huang, S; Lam, J

Saturated linear quadratic regulation of uncertain linear systems: Stability region estimation and controller design

Huang, S

Lam, J

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Publication Type:: Journal Article
Citation:: International Journal of Control, 2002, 75 (2), pp. 97 - 110
Issue Date:: 2002-01-20

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Field	Value	Language
dc.contributor.author	Huang, S https://orcid.org/0000-0002-6124-4178	en_US
dc.contributor.author	Lam, J	en_US
dc.date.issued	2002-01-20	en_US
dc.identifier.citation	International Journal of Control, 2002, 75 (2), pp. 97 - 110	en_US
dc.identifier.issn	0020-7179	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8274
dc.description.abstract	This paper considers the problems of estimating the stability region (domain of attraction) and controller design for uncertain linear continuous-time systems with input saturation when linear quadratic (LQ) optimal controller is used. By exploiting the structure of the LQ controller and the property of saturation functions, it is established that the estimation of stability region can be obtained by solving linear matrix inequality (LMI) problems. Moreover, an iterative LMI (ILMI) algorithm is presented to design an LQ controller such that the largest estimated stability region can be obtained. Two examples are given to compare our results with existing ones.	en_US
dc.relation.ispartof	International Journal of Control	en_US
dc.relation.isbasedon	10.1080/00207170110088276	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Saturated linear quadratic regulation of uncertain linear systems: Stability region estimation and controller design	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	75	en_US
utslib.for	010203 Calculus of Variations, Systems Theory and Control Theory	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
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	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	75	en_US

Abstract:

This paper considers the problems of estimating the stability region (domain of attraction) and controller design for uncertain linear continuous-time systems with input saturation when linear quadratic (LQ) optimal controller is used. By exploiting the structure of the LQ controller and the property of saturation functions, it is established that the estimation of stability region can be obtained by solving linear matrix inequality (LMI) problems. Moreover, an iterative LMI (ILMI) algorithm is presented to design an LQ controller such that the largest estimated stability region can be obtained. Two examples are given to compare our results with existing ones.

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http://hdl.handle.net/10453/8274