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General Information
    • ISSN: 1793-8198
    • Frequency: Quarterly
    • DOI: 10.18178/IJMMM
    • Editor-in-Chief: Prof. K. M. Gupta, Prof. Ian McAndrew
    • Executive Editor: Ms. Cherry L. Chen
    • Abstracting/Indexing: EI (INSPEC, IET), Chemical Abstracts Services (CAS), Engineering & Technology Digital Library,  ProQuest, Crossref, Ulrich's Periodicals Directory, DOAJ, and Electronic Journals Library .
    • E-mail ijmmm@ejournal.net
Editor-in-chief
Prof. Ian McAndrew
Embry Riddle Aeronautical University, UK.
It is my honor to be the editor-in-chief of IJMMM. I will do my best to help develop this journal better.

IJMMM 2013 Vol.1(4): 324-346 ISSN: 1793-8198
DOI: 10.7763/IJMMM.2013.V1.74

A Nonlinear Dynamical Modeling and Control Method for the Vorticity Control of the Flow past a Circular Cylinder

H. Deniz Karaca, G. Deniz Özen, and Coşku Kasnakoğlu
Abstract—In this paper a systematic approach for the nonlinear modeling and feedback control of vorticity behind an immersed circular cylinder system was developed. In this technique first a number of control input points over the cylinder and some measurement points for vorticity past the cylinder are assigned. A type of nonlinear dynamic model (namely a Hammerstein-Wiener (HW) model) of the flow field is estimated via system identification techniques using measurement data obtained from a chirp input function. Once the dynamical model of the system is estimated, a controller for the linear block of the HW model is designed using internal model control method, and this controller is then mapped to the HW model by reversing the input/output nonlinearity functions. The procedure described is implemented and tested numerically in MATLAB and CFD computations performed on the closed-loop system show that the controller is capable of achieving significant reduction in the vorticity levels past the cylinder.

Index Terms—Flow past a circular cylinder, nonlinear dynamical modeling and control, system identification, hammerstein-wiener method, vorticity control.

H. D. Karaca and C. Kasnakoglu are with the Department of Electrical and Electronics Engineering, TOBB ETU, 06560, Ankara, Turkey (e-mail: hdkaraca@gmail.com, kasnakoglu@etu.edu.tr). G. D. Ozen is with the Department of Physics in METU, Ankara, Turkey (e-mail: gd.ozen@gmail.com).

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Cite:H. Deniz Karaca, G. Deniz Özen, and Coşku Kasnakoğlu, "A Nonlinear Dynamical Modeling and Control Method for the Vorticity Control of the Flow past a Circular Cylinder," International Journal of Materials, Mechanics and Manufacturing vol. 1, no. 4, pp. 324-346, 2013.

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