Theory of localized vibration control via partitioned LQR synthesis

K. C. Park; Nag-In Kim; Gregory W. Reich

doi:10.1117/12.388796

19 June 2000 Theory of localized vibration control via partitioned LQR synthesis

K. C. Park, Nag-In Kim, Gregory W. Reich

Proceedings Volume 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures; (2000) https://doi.org/10.1117/12.388796
Event: SPIE's 7th Annual International Symposium on Smart Structures and Materials, 2000, Newport Beach, CA, United States

Abstract

A theory for localized vibration control that is based on a partitioned Linear Quadratic Regulator (LQR) synthesis is presented. The present localized control consists of two components: a localized LQR controller that minimizes the control effort to attenuate the disturbances directly applied to each partitioned substructural system, and a controller that mitigates the interface transmission forces. The present theory is applicable both for quasistatic structural shape control and for the attenuation of structural vibrations. The localized controllers can be implemented in terms of strain actuation, proof-mass actuators, and strain rate-type active dampers. The basic features of the present theory are illustrated via numerical experiments as applied to the control of vibrations of a beam.

Citation Download Citation

K. C. Park, Nag-In Kim, and Gregory W. Reich "Theory of localized vibration control via partitioned LQR synthesis", Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000); https://doi.org/10.1117/12.388796

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