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Reduced Order Model Development For Feedback Control Of Cavity Flows

Caraballo, Edgar J.

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2008, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
Controlling the flow over aerodynamic bodies has been a challenging problem for many years. Different open loop control techniques have been used in several flow configurations with some degree of success. However, in most cases the effectiveness of the controller is limited to the design conditions. In the present work, Proper Orthogonal Decomposition (POD) is used to derive low dimensional models of the subsonic flow over a cavity, in an effort to develop a feedback control system that can control the characteristic of the flow field. The Galerkin method is used as an additional tool to capture the time evolution of the flow field, reducing the problem into a system of ordinary differential. The stochastic estimation method is then used to link the variables that can be physically measured with those involved in the model. Particle Image Velocimetry (PIV) data and surface pressure measurement for the unforced flow (baseline) and for several open loop forcing conditions are used to derive the models. Three different approaches are investigated for control input separation. Different combinations of the flow condition are used in the model derivation to determine which forced flow should be used as a general case. A feedback controller is designed and tested experimentally for each model. The results showed that the variation in the experimental SPL spectra between the different models was negligible. However, a closer look at other factors hinted that the actuation mode separation method (M1) using the white noise forcing is the best choice. This method of separation does not require a clear identification of the control input region in the data. Also, it generates the best results in terms of reducing the tone and the OASPL while using a lower power input to achieve it. The white noise forcing helps to simplify the derivation process, as there is no need to pre-identify a specific forcing case. The multiple time estimation provides the best results in terms of the amplitude, but the implementation of this procedure is restricted by the hardware limitation.
Mo Samimy, Dr. (Advisor)
Michael Dunn, Dr. (Committee Member)
Chiu-Yen Kao, Dr. (Committee Member)
Walter Lempert, Dr. (Committee Member)
Andrea Serrani, Dr. (Committee Member)
207 p.

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Citations

  • Caraballo, E. J. (2008). Reduced Order Model Development For Feedback Control Of Cavity Flows [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1225291592

    APA Style (7th edition)

  • Caraballo, Edgar. Reduced Order Model Development For Feedback Control Of Cavity Flows. 2008. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1225291592.

    MLA Style (8th edition)

  • Caraballo, Edgar. "Reduced Order Model Development For Feedback Control Of Cavity Flows." Doctoral dissertation, Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1225291592

    Chicago Manual of Style (17th edition)