Feedback Control of Cavity Flow Using Experimental Based Reduced Order Model

Caraballo, E.; Xing, Yuan; Little, Jesse; Debiasi, Marco; Yan, Peng; Serrani, Andrea; Myatt, James; Samimy, Mo

doi:10.2514/6.2005-5269

Cited by 17 publications

(35 citation statements)

References 24 publications

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“…2. It's interesting to notice that the estimate of the state a can be derived directly from pressure measurements by using equation (3.5). A saturation function and a constant scaling factor ct play the same roles in the feedback loop as what have been presented in Caraballo et al (2005). The largest possible scaling factor in this study has been found to be a = 0.265, and the corresponding scaled control is in the form…”

Section: Real Time Control Resultsmentioning

confidence: 71%

“…The increased number of snapshot compared to that (500) used in Caraballo et al (2005) allowed complete convergence of the average turbulent kinetic energy of the flow in the shear layer region. Figure 3 shows how the mean turbulent kinetic energy at different location on the shear layer converges when more than 700 images are used.…”

Section: Pod Methodsmentioning

confidence: 99%

“…The reader is referred to Caraballo et al (2005) for a detailed description of the model simplification techniques.…”

Section: S)(b4)tajmentioning

confidence: 99%

“…The control design approach has been presented in Yuan et al (2005) and Caraballo et al (2005) in details, which includes equilibrium computation, coordinates transformation, linear approximation and linear-quadratic state feedback control design. In this work, the same control design procedure was followed on a large experimental data set (PIV data) derived Galerkin model.…”

Section: Controller Design and Implementationmentioning

confidence: 99%

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Equipment for Flow Diagnostics and Control

Samimy¹

2005

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0011Public reporting burden for this collection of informeatiooAs estimated to average 1 hour per response, including the time for reviewing instructions, searching exist the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and 'Approvel fo,, p lic rl"c ase. ABSTRACT (Maximum 200 words)The DURIP grant enabled us to acquire a complete and powerful stereo Particle Imaging Velocity (PIV) ,system, equipment for experimentally implementing real-time feedback flow control, and all the necessary equipment for automatic control of the flow facilities at the Gas Dynamics and Turbulence Laboratory (GDTL). All of these equipment items enabled us to get detailed Ply measurements simultaneously with pressure measurements. We then used the techniques described in the rest of this report to obtain the first experimental results based reduced order model and controller based on the model. ABSTRACTThe DURIP grant enabled us to acquire a complete and powerful stereo Particle Imaging Velocity (PIV) system, equipment for experimentally implementing real-time feedback flow control, and all the necessary equipment for automatic control of the flow facilities at the Gas Dynamics and Turbulence Laboratory (GDTL). All of these equipment items enabled us to get detailed PIV measurements simultaneously with pressure measurements. We then used the techniques described in the rest of this report to obtain the first experimental results based reduced order model and controller based on the model. We have successfully implemented the controller with very encouraging results. The results presented in this report of based two papers: one we presented in an AIAA conference last summer ) and one we will present in another AIAA conference in early January 2006 (Caraballo et al. 2006).In this report results for subsonic cavity flow control using a reduced-order model based feedback control derived from experimental measurements. The model was developed using the Proper Orthogonal Decomposition of PIV images in conjunction with the Galerkin projection of the Navier-Stokes equations onto the resulting spatial eigenfunctions. A linear-quadratic optimal controller was designed to control the time coefficient and tested in the experiments. The stochastic estimation method was used for real-time estimation of the corresponding time coefficients from 4 dynamic surface pressure measurements. The results obtained showed that controller was capable of reducing the cavity flow resonance at the design Mach 0.3 flow, as well as at other flows with slightly different Mach number. In the present work we present several improvement made to the method. The reduced order model was derived from a larger set of PIV measurements and we used 6 sensors for the stochastic estimation of the instantaneous time coefficients. The reduced order model so obtained showed a better con...

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Section: Real Time Control Resultsmentioning

confidence: 71%

Section: Pod Methodsmentioning

confidence: 99%

“…The reader is referred to Caraballo et al (2005) for a detailed description of the model simplification techniques.…”

Section: S)(b4)tajmentioning

confidence: 99%

Section: Controller Design and Implementationmentioning

confidence: 99%

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Equipment for Flow Diagnostics and Control

Samimy¹

2005

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“…This results in a set of ordinary non-linear differential equations, in which the control input need to be rendered explicit by means of control separation techniques. The use of POD/Galerkin methods has become increasingly popular to handle flow control problems, including control of cylinder wakes [11,26,42], flow separation [19], modeling and control of synthetic jets [27], controller order reduction [3], and cavity flow [5,6,32,46].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Feedback Control for Subsonic Cavity Flows: A Collaborative Approach

Yan

Yuan²,

Özbay³

et al.

Proceedings of the 44th IEEE Conference on Decision and Control

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Abstract. A benchmark problem in active aerodynamic flow control, suppression of strong pressure oscillations induced by flow over a shallow cavity, is addressed in this paper. Proper orthogonal decomposition and Galerkin projection techniques are used to obtain a reducedorder model of the flow dynamics from experimental data. The model is made amenable to control design by means of a control separation technique, which makes the control input appear explicitly in the equations. A prediction model based on quadratic stochastic estimation correlates flow field data with surface pressure measurements, so that the latter can be used to reconstruct the state of the model in real time. The focus of this paper is on the controller design and implementation. A linear-quadratic optimal controller is designed on the basis of the reduced-order model to suppress the cavity flow resonance. To account for the limitation on the magnitude of the control signal imposed by the actuator, the control action is modified by a scaling factor, which plays the role of a bifurcation parameter for the closed-loop system. Experimental results, in qualitative agreement with the theoretical analysis, show that the controller achieves a significant attenuation of the resonant tone with a redistribution of the energy into other frequencies, and exhibits a certain degree of robustness when operating in off-design conditions.

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Active control of flow separation and structural vibrations of wind turbine blades

Maldonado¹,

Farnsworth²,

Gressick³

et al. 2009

Wind Energy

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The feasibility of using synthetic jet actuators to enhance the performance of wind turbine blades was explored in wind tunnel experiments on a small scale model blade. Using this technique, the global fl ow fi eld over the blade was altered such that fl ow separation was mitigated. Consequently, this resulted in a signifi cant decrease in the vibration of the blade. Global fl ow measurements were conducted, where the moments and forces on the blade were measured using a six component wall-mounted load cell. The effect of the actuation was also examined on the surface static pressure at two spanwise locations; near the blade's root and near its tip. In addition, Particle Image Velocimetry (PIV) technique was used to quantify the fl ow fi eld over the blade. Using synthetic jets, the fl ow over the blade was either fully or partially reattached, depending on the angle of attack, and the Reynolds number. Furthermore, the changes induced on the moments and forces, as well as on the blade vibrations were found to be proportionally controllable by either changing the momentum coeffi cient, the number of synthetic jets used, or by the driving waveform. Finally, a proof-of-concept closed-loop control system was developed to test the ability of using synthetic jet actuators to restore and maintain fl ow attachment and reduce the vibrations in the blade during dynamic pitching maneuvers. The control system demonstrated the ability of synthetic jet actuators to reduce blade vibrations during dynamic motion depending upon their control concept, which might be either pitch or active stall control. 222Active control of fl ow separation and structural vibrations V. Maldonado et al.

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Feedback Control of Cavity Flow Using Experimental Based Reduced Order Model

Cited by 17 publications

References 24 publications

Equipment for Flow Diagnostics and Control

Equipment for Flow Diagnostics and Control

Modeling and Feedback Control for Subsonic Cavity Flows: A Collaborative Approach

Active control of flow separation and structural vibrations of wind turbine blades

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