Influence of Stochastic Estimation on the Control of Subsonic Cavity Flow - A Preliminary Study

This work aims at understanding how the different elements involved in the feedback loop influence the overall control performance of a subsonic cavity flow based on reduced- order modeling. To this aim we compare preliminary and limited sets of experimental results obtained by modifying some relevant characteristics of the loop. Our results support the findings in the literature that use of quadratic stochastic estimation is preferable to the linear one for real-time update of the model parameters. They also seem to indicate the merit of using more than one time sample of the pressure for performing the real-time update of the model through stochastic estimation. The effect of using two different sets of pressure signals for the stochastic estimation also corroborates previous findings indicating the need for optimizing the number and the placement of the sensors used in the feedback control loop. Finally we observed that the characteristics of the actuator can alter significantly the overall control effect by introducing in the feedback loop additional, undesirable frequency components that are not modeled and hence controlled. A compensator for the actuator is currently being designed that will alleviate this problem thus enabling a clearer understanding of the overall control technique.

[1]  Marco Debiasi,et al.  Exploring strategies for closed-loop cavity flow control , 2004 .

[2]  Marco Debiasi,et al.  Experimental Study of Linear Closed-Loop Control of Subsonic Cavity Flow , 2006 .

[3]  Mark N. Glauser,et al.  Feedback control of separated flows(invited) , 2004 .

[4]  Hitay Ozbay,et al.  Proper orthogonal decomposition for reduced order modeling: 2D heat flow , 2003, Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003..

[5]  David R. Williams,et al.  Experiments on controlling multiple acoustic modes in cavities , 2000 .

[6]  L. Sirovich Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .

[7]  Marco Debiasi,et al.  Logic-Based Active Control of Subsonic Cavity Flow Resonance , 2004 .

[8]  Louis N. Cattafesta,et al.  Adaptive Identification and Control of Flow-Induced Cavity Oscillations , 2002 .

[9]  M. Samimy,et al.  A Study of Subsonic Cavity Flows - Low Dimensional Modeling , 2004 .

[10]  Clarence W. Rowley,et al.  Dynamics and control of high-reynolds-number flow over open cavities , 2006 .

[11]  A. Naguib,et al.  Stochastic estimation and flow sources associated with surface pressure events in a turbulent boundary layer , 2001 .

[12]  Andrea Serrani,et al.  Further Development of Feedback Control of Cavity Flow Using Experimental Based Reduced Order Model , 2006 .

[13]  K. Willcox Unsteady Flow Sensing and Estimation via the Gappy Proper Orthogonal Decomposition , 2004 .

[14]  Mohamed Gad-el-Hak,et al.  Flow Control: Passive, Active, and Reactive Flow Management , 2000 .

[15]  Robert King,et al.  Model-based Control of Vortex Shedding Using Low-dimensional Galerkin Models , 2003 .

[16]  Clarence W. Rowley,et al.  Modeling, Simulation, and Control of Cavity Flow Oscillations , 2002 .

[17]  Ronald Adrian,et al.  On the role of conditional averages in turbulence theory. , 1975 .

[18]  Bernd R. Noack,et al.  Low-Dimensional Models For Feedback Flow Control. Part II: Control Design and Dynamic Estimation , 2004 .

[19]  Marco Debiasi,et al.  Control of Subsonic Cavity Flows by Neural Networks - Analytical Models and Experimental Validation , 2005 .

[20]  M. Franchek,et al.  Active control of flow-induced cavity resonance , 1998 .

[21]  Marco Debiasi,et al.  An Experimental Study of Subsonic Cavity Flow - Physical Understanding and Control , 2004 .

[22]  Stefan Siegel,et al.  FEEDBACK CONTROL OF A CIRCULAR CYLINDER WAKE IN EXPERIMENT AND SIMULATION (INVITED) , 2003 .

[23]  Leonard Shaw,et al.  USAF/RAAF F-111 Flight Test with Active Separation Control , 2003 .

[24]  Clarence W. Rowley,et al.  Review of Active Control of Flow-Induced Cavity Resonance , 2003 .

[25]  Marco Debiasi,et al.  Flow Structure in Controlled and Baseline Subsonic Cavity Flows , 2006 .

[26]  Nathan E. Murray,et al.  Velocity and surface pressure measurements in an open cavity , 2005 .

[27]  Marco Debiasi,et al.  Reduced-Order Model-Based Feedback Control of Subsonic Cavity Flows — An Experimental Approach , 2007 .

[28]  Marco Debiasi,et al.  Closed-Loop Active Flow Control - A Collaborative Approach , 2003 .

[29]  Mark N. Glauser,et al.  Experimental Development of a Reduced-Order Model for Flow Separation Control , 2006 .

[30]  Clarence W. Rowley,et al.  CONTROL OF FORCED AND SELF-SUSTAINED OSCILLATIONS IN THE FLOW PAST A CAVITY , 2003 .

[31]  Kelly Cohen,et al.  A heuristic approach to effective sensor placement for modeling of a cylinder wake , 2006 .

[32]  Jean-Paul Bonnet,et al.  Large-Scale-Structure Identification and Control in Turbulent Shear Flows , 1998 .

[33]  Andrea Serrani,et al.  Reduced-order Model-based Feedback Controller Design for Subsonic Cavity Flows , 2005 .

[34]  Marco Debiasi,et al.  Feedback Control of Cavity Flow Using Experimental Based Reduced Order Model , 2005 .

[35]  P. Holmes,et al.  Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 1996 .