Utilizing Low-Dimensional Dynamical Systems Models to Guide Control Experiments

[+] Author and Article Information
Thomas C. Corke

Mechanical and Aerospace Engineering, IIT, Chicago IL 60616-3793

Mark N. Glauser

Department of Mechanical and Aerospace Engineering, Clarkson University, Potsdam NY 13699-5725

Gal Berkooz

Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca NY 14853

Appl. Mech. Rev 47(6S), S132-S138 (Jun 01, 1994) doi:10.1115/1.3124389 History: Online April 29, 2009


In this paper we describe an effort in which the proper orthogonal decomposition (see Lumley 1967) based low-dimensional dynamical system of Glauser et al (1992) is utilized to guide control experiments for the jet. These ideas are then applied using the experimental setup of Corke and Kusek (1993). The experiment uses a closed-loop feed-back to control the flow field, including the possibility of converting the instabilities from convective to global. In the dynamical systems simulations, cascade phenomena are observed where streamwise wavenumbers act as trigger modes to excite various helical modes, in particular azimuthal modes 4, 5 and 6. When these higher helical modes were excited through the experimental control scheme, similar effects, such as mode competition and switching have been observed. These results clearly show the utility of using low-dimensional systems models to guide control experiments.

Copyright © 1994 by American Society of Mechanical Engineers
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