A Combinatorial Optimization Problem for High Order PODs with Few Sensors

Mohanty, Atanu K and Chakraborty, Kanad and Chatterjee, Anindya (2007) A Combinatorial Optimization Problem for High Order PODs with Few Sensors. In: Journal of Vibration and Acoustics, 129 (2). pp. 252-255.

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Abstract

Experimental characterization of high dimensional dynamic systems sometimes uses the proper orthogonal decomposition (POD). If there are many measurement locations and relatively fewer sensors, then steady-state behavior can still be studied by sequentially taking several sets of simultaneous measurements. The number required of such sets of measurements can be minimized if we solve a combinatorial optimization problem. We aim to bring this problem to the attention of engineering audiences, summarize some known mathematical results about this problem, and present a heuristic (suboptimal) calculation that gives reasonable, if not stellar, results.

Item Type:	Journal Article
Publication:	Journal of Vibration and Acoustics
Publisher:	The American Society of Mechanical Engineers
Additional Information:	Copyright of this article belongs to The American Society of Mechanical Engineers.
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	05 Mar 2010 05:28
Last Modified:	19 Sep 2010 05:56
URI:	http://eprints.iisc.ac.in/id/eprint/25964

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