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TECHNICAL BRIEFS

A Combinatorial Optimization Problem for High Order PODs with Few Sensors

[+] Author and Article Information
Atanu K. Mohanty

Supercomputer Education and Research Centre, Indian Institute of Science, Bangalore, 560012, Indiaamohanty@serc.iisc.ernet.in

Kanad Chakraborty

Signal Integrity and Interconnect Analysis Group, Agere Systems, Allentown, PA 18109kanadc@agere.com

Anindya Chatterjee

Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560012, Indiaanindya100@gmail.com

J. Vib. Acoust 129(2), 252-255 (Nov 17, 2006) (4 pages) doi:10.1115/1.2424983 History: Received March 16, 2006; Revised November 17, 2006

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.

Copyright © 2007 by American Society of Mechanical Engineers
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