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Proceedings Paper

Linear quadratic distributed self-tuning control of vibration in a cantilever beam
Author(s): Murali Gopinathan; Grazyna A. Pajunen; P. S. Neelakanta; Madasamy Arockiasamy
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Paper Abstract

In this paper a new method of distributed adaptive control of vibration in flexible structures is presented. It is based on finite element approximation from which the auto-regressive parametric representation of the structure is obtained. This representation is used to estimate the structural parameters, viz., mass, stiffness and damping coefficient, using recursive least squares method. The finite dimensional model is then used to design a state-space controller based on the linear quadratic regulator principle. The on-line structural parameter estimation and the controller are then combined using certainty equivalence principle to obtain linear quadratic self-tuning controller for vibration suppression in flexible structures. The performance of the controller (without the self-tuning pat of the algorithm) in suppressing vibrations in an aluminum cantilever beam with surface mounted piezo-electric sensor and actuators is demonstrated experimentally. The spatial recursive algorithm to estimate transverse and angular displacement/velocity from the measured set of strain/strain-rate data, developed in the companion paper, is used as a state estimation algorithm for the state feedback controller.

Paper Details

Date Published: 8 May 1995
PDF: 12 pages
Proc. SPIE 2443, Smart Structures and Materials 1995: Smart Structures and Integrated Systems, (8 May 1995); doi: 10.1117/12.208291
Show Author Affiliations
Murali Gopinathan, Florida Atlantic Univ. (United States)
Grazyna A. Pajunen, Florida Atlantic Univ. (United States)
P. S. Neelakanta, Florida Atlantic Univ. (United States)
Madasamy Arockiasamy, Florida Atlantic Univ. (United States)

Published in SPIE Proceedings Vol. 2443:
Smart Structures and Materials 1995: Smart Structures and Integrated Systems
Inderjit Chopra, Editor(s)

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