Real-time implementation of a frequency shaping controller on a cantilever beam

Authors:
B. M. Lewis;H. T. Tran
Affiliations:
MIT Lincoln Laboratory, 244 Wood Street, Lexington, MA 02420, USA;Department of Mathematics and Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695, USA
Venue:
Applied Numerical Mathematics
Year:
2007

Citing 3
Cited 0

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Numerical methods for ordinary differential systems: the initial value problem
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Smart Material Systems: Model Development

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Abstract

In this paper, we present the real time implementation of a control methodology for the attenuation of beam vibrations in a smart structure paradigm caused by a narrow-band exogenous force. By narrow-band exogenous force we mean a periodic force over a narrow frequency band or a particular harmonic. The particular control method is based on the minimization of a frequency dependent quadratic cost functional. This control method has been used successfully in various applications; however, this investigation differs from other works in that it emphasizes the real-time implementation of this model-based control methodology using real-time partial state measurements.