NDLI: Feedback Control of Low Dimensional Models of Transition to Turbulence

Content Provider	IEEE Xplore Digital Library
Author	Burns, J.A. Singler, J.
Copyright Year	2005
Description	Author affiliation: Center for Optimal Design and Control, Interdisciplinary Center for Applied Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0531 (Burns, J.A.)
Abstract	The problem of controlling or delaying transition to turbulence in shear flows has been the subject of numerous papers over the past twenty years. This period has seen the development of several low dimensional models for parallel shear flows in an attempt to explain the failure of classical linear hydrodynamic stability theory to correctly predict transition. In recent years, ideas from robust control theory have been employed to attack this problem. In this paper we use these models to develop a scenario for transition that employs both classical bifurcation theory and robust control theory. In addition, we present numerical results to illustrate the ideas and to show how feedback can be used to delay transition. We close with a specific conjecture and discuss some previous results along this line.
Starting Page	3140
Ending Page	3145
File Size	384919
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1582644
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Feedback control Hydrodynamics Stability Delay Robust control Optimal control Mathematics Predictive models Bifurcation Eigenvalues and eigenfunctions
Content Type	Text
Resource Type	Article

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