LPV Technique for the Rejection of Sinusoidal Disturbance with Time-Varying Frequency

Du, H; Lu, Z; Shi, X; Zhang, L

LPV Technique for the Rejection of Sinusoidal Disturbance with Time-Varying Frequency

Du, H Lu, Z Shi, X Zhang, L

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Publisher:: The Institution of Engineering and Technology (IET)
Publication Type:: Journal Article
Citation:: IEEE Proceedings, Control Theory and Applications, 2003, 150 (2), pp. 132 - 138
Issue Date:: 2003-01

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Field	Value	Language
dc.contributor.author	Du, H	en_US
dc.contributor.author	Lu, Z	en_US
dc.contributor.author	Shi, X	en_US
dc.contributor.author	Zhang, L	en_US
dc.date.issued	2003-01	en_US
dc.identifier.citation	IEEE Proceedings, Control Theory and Applications, 2003, 150 (2), pp. 132 - 138	en_US
dc.identifier.issn	1350-2379	en_US
dc.identifier.uri	http://hdl.handle.net/10453/12805
dc.description.abstract	This design of a linear parameter-varying (LPV) controller for the rejection of sinusoidal disturbance with time-varying frequency but measurable on-line for implementation purposes is described. The approach proposed is based on modelling the sinusoidal disturbance with a measurable time-varying frequency as an LPV model and adding this model to the controlled linear time-invariant (LTI) system to formulate an augmented LPV system. Then a stabilising H[sub ?]-like LPV controller is constructed for the augmented LPV system based on the Lyapunov approach with a single quadratic Lyapunov function. The effectiveness of the LPV controller is assessed by means of several simulation trials on a two-mass-spring damper system. Numerical results are used to demonstrate the validity of the analytical results and the ability of the algorithms to reject sinusoidal disturbance with time-varying frequency.	en_US
dc.publisher	The Institution of Engineering and Technology (IET)	en_US
dc.relation.ispartof	IEEE Proceedings, Control Theory and Applications	en_US
dc.relation.isbasedon	10.1049/ip-cta:20030101	en_US
dc.rights	This paper is a postprint of a paper submitted to and accepted for publication in IEEE Proceedings, Control Theory and Applications and is subject to Institution of Engineering and Technology Copyright. The copy of record is available at the IET Digital Library.	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	LPV Technique for the Rejection of Sinusoidal Disturbance with Time-Varying Frequency	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	150	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0906 Electrical and Electronic 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
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.issue	2	en_US
pubs.volume	150	en_US

Abstract:

This design of a linear parameter-varying (LPV) controller for the rejection of sinusoidal disturbance with time-varying frequency but measurable on-line for implementation purposes is described. The approach proposed is based on modelling the sinusoidal disturbance with a measurable time-varying frequency as an LPV model and adding this model to the controlled linear time-invariant (LTI) system to formulate an augmented LPV system. Then a stabilising H[sub ?]-like LPV controller is constructed for the augmented LPV system based on the Lyapunov approach with a single quadratic Lyapunov function. The effectiveness of the LPV controller is assessed by means of several simulation trials on a two-mass-spring damper system. Numerical results are used to demonstrate the validity of the analytical results and the ability of the algorithms to reject sinusoidal disturbance with time-varying frequency.

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http://hdl.handle.net/10453/12805