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Reduced-order model feedback control design: Numerical implementation in a thin shell model

delete2000-07-01
delete43
PRE
AI
H
H. T. Banks *
D
del Rosario, RCH
R
Ralph C. Smith
DOI：10.1109/9.867024delete
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Abstract

Abstract

En 中文
Reduced-order models employing the Lagrange and popular proper orthogonal decomposition (POD) reduced-basis methods in numerical approximation and feedback control of systems are presented and numerically tested. The system under consideration is a thin cylindrical shell with surface-mounted piezoceramic actuators. Donnell-Mushtari equations, modified to include Kelvin-Voigt damping, are used to model the system dynamics. Basis functions constructed from Fourier polynomials tensored with cubic splines are employed in the Galerkin expansion of the full-order model. Reduced-basis elements are then formed from full order approximations of the exogenously excited shell taken at different time instances. Numerical examples illustrating the features of the reduced-basis methods are presented. As a first step toward investigating the behavior of the methods when implemented in physical systems, the use of reduced-order model feedback control gains in the full order model is considered and numerical examples are presented.
Keywords:
LQR feedback control
proper orthogonal decomposition
reduced-basis computational methods
thin shell dynamics
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Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

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