5 May 1995 Optimal location of piezoelectric actuators for vibration suppression of flexible structures
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Abstract
In this work, the problem of optimal placement of piezoelectric actuators along a flexible structure is considered. The design goal is to optimize the actuators' performance in vibration suppression of a beam cantilevered on one end to a rotating hub. First the control problem is presented as an infinite-dimensional linear quadratic regulator problem. Then an approximation framework based on a Legendre polynomials based Galerkin method for approximating the control system is developed. Two different approximate performance measures that are based on the LQR cost function are considered and numerical examples are presented to illustrate efficacy of each measure.
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Fariba Fakhroo, Fariba Fakhroo, } "Optimal location of piezoelectric actuators for vibration suppression of flexible structures", Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); doi: 10.1117/12.208850; https://doi.org/10.1117/12.208850
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