Modeling and control of membrane mirror strip using single piezoelectric bimorph
Modeling and control of membrane mirror strip using single piezoelectric bimorph
This paper presents an improved finite-element model of a membrane strip actuated by a single piezoelectric bimorph. The paper also treats the static shape control problem of the structure under study. The membrane strip is modeled as an Euler—Bernoulli beam under tension, with non-uniform physical properties. The finite-element method allows the development of a model that accounts for the actuator dynamics. The static shape control problem is formulated as a disturbance rejection problem and solved using a proportional-integral (PI) controller. The PI control gains are obtained using the linear quadratic regulator theory. The proposed model is verified experimentally, and the closed loop system is simulated to demonstrate the effectiveness of the control law.
membrane strip, piezoelectricity, proportional-integral controller
391-414
Renno, Jamil M.
132f3c49-a612-4ccc-8772-293c8e015d1c
Inman, Daniel J.
e7a193c3-1285-415c-9f40-404ce6823a7d
March 2009
Renno, Jamil M.
132f3c49-a612-4ccc-8772-293c8e015d1c
Inman, Daniel J.
e7a193c3-1285-415c-9f40-404ce6823a7d
Renno, Jamil M. and Inman, Daniel J.
(2009)
Modeling and control of membrane mirror strip using single piezoelectric bimorph.
Journal of Vibration and Control, 15 (3), .
(doi:10.1177/1077546308088563).
Abstract
This paper presents an improved finite-element model of a membrane strip actuated by a single piezoelectric bimorph. The paper also treats the static shape control problem of the structure under study. The membrane strip is modeled as an Euler—Bernoulli beam under tension, with non-uniform physical properties. The finite-element method allows the development of a model that accounts for the actuator dynamics. The static shape control problem is formulated as a disturbance rejection problem and solved using a proportional-integral (PI) controller. The PI control gains are obtained using the linear quadratic regulator theory. The proposed model is verified experimentally, and the closed loop system is simulated to demonstrate the effectiveness of the control law.
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Published date: March 2009
Keywords:
membrane strip, piezoelectricity, proportional-integral controller
Identifiers
Local EPrints ID: 71461
URI: http://eprints.soton.ac.uk/id/eprint/71461
ISSN: 1077-5463
PURE UUID: 251de8e5-3322-4592-9864-a47e1548de8c
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Date deposited: 11 Feb 2010
Last modified: 13 Mar 2024 20:27
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Contributors
Author:
Jamil M. Renno
Author:
Daniel J. Inman
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