Robust control design for precision positioning of a generic piezoelectric system with consideration of microscopic hysteresis effects

Chao, PCP; Liao, PY; Tsai, MY; Lin, CT

Robust control design for precision positioning of a generic piezoelectric system with consideration of microscopic hysteresis effects

Chao, PCP Liao, PY Tsai, MY Lin, CT

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Publication Type:: Journal Article
Citation:: Microsystem Technologies, 2011, 17 (5-7), pp. 1009 - 1023
Issue Date:: 2011-06-01

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Field	Value	Language
dc.contributor.author	Chao, PCP	en_US
dc.contributor.author	Liao, PY	en_US
dc.contributor.author	Tsai, MY	en_US
dc.contributor.author	Lin, CT https://orcid.org/0000-0001-8371-8197	en_US
dc.date.issued	2011-06-01	en_US
dc.identifier.citation	Microsystem Technologies, 2011, 17 (5-7), pp. 1009 - 1023	en_US
dc.identifier.issn	0946-7076	en_US
dc.identifier.uri	http://hdl.handle.net/10453/116966
dc.description.abstract	This study performs precision positioning of a generic piezoelectric structure against hysteresis effects by finite elements, microscopic hysteresis cancellation and robust H ∞ compensation. The designed control algorithm is expected to be effective in enhancing servo performance of hard disk drives. The precision positioning is accomplished by adding a polarization term into the linear constitutive equations of piezoelectric materials. This polarization term is then described by the well-known Preisach model. Applying basic principles of finite elements and Hamilton's thoery, the macroscopic governing equations of an arbitrary piezoelectric system in finite elements are obtained. Based on the macro-model, a controller consisting of two parts is designed to perform the precision positioning of a generic piezo-structure. The first part is responsible for direct hysteresis cancellation at the microscopic level, while the second one is a robust H ∞ controller to overcome inevitable cancellation errors. In this way, the control effort is then more effective than the conventional PI and double-lead controller without microscopic hysteresis cancellation. A simple piezoelectric structure of a bender-bimorph cantilever beam is considered for designs and experimental validation. Based on experimental results, the proposed control design is found effective to suppress hysteresis effects as opposed to conventional controllers. © 2011 Springer-Verlag.	en_US
dc.relation.ispartof	Microsystem Technologies	en_US
dc.relation.isbasedon	10.1007/s00542-011-1250-x	en_US
dc.subject.classification	Nanoscience & Nanotechnology	en_US
dc.subject.classification	Mechanical Engineering & Transports	en_US
dc.title	Robust control design for precision positioning of a generic piezoelectric system with consideration of microscopic hysteresis effects	en_US
dc.type	Journal Article
utslib.citation.volume	5-7	en_US
utslib.citation.volume	17	en_US
utslib.for	1007 Nanotechnology	en_US
utslib.for	1005 Communications Technologies	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 Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	closed_access
pubs.issue	5-7	en_US
pubs.publication-status	Published	en_US
pubs.volume	17	en_US

Abstract:

This study performs precision positioning of a generic piezoelectric structure against hysteresis effects by finite elements, microscopic hysteresis cancellation and robust H ∞ compensation. The designed control algorithm is expected to be effective in enhancing servo performance of hard disk drives. The precision positioning is accomplished by adding a polarization term into the linear constitutive equations of piezoelectric materials. This polarization term is then described by the well-known Preisach model. Applying basic principles of finite elements and Hamilton's thoery, the macroscopic governing equations of an arbitrary piezoelectric system in finite elements are obtained. Based on the macro-model, a controller consisting of two parts is designed to perform the precision positioning of a generic piezo-structure. The first part is responsible for direct hysteresis cancellation at the microscopic level, while the second one is a robust H ∞ controller to overcome inevitable cancellation errors. In this way, the control effort is then more effective than the conventional PI and double-lead controller without microscopic hysteresis cancellation. A simple piezoelectric structure of a bender-bimorph cantilever beam is considered for designs and experimental validation. Based on experimental results, the proposed control design is found effective to suppress hysteresis effects as opposed to conventional controllers. © 2011 Springer-Verlag.

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http://hdl.handle.net/10453/116966