Technical Papers
Feb 10, 2017

Wind Tunnel Mach Number Prediction Based on the Pruned Feature Subsets Ensemble Method

Publication: Journal of Aerospace Engineering
Volume 30, Issue 4

Abstract

In a wind tunnel, the Mach number in the test section is an important parameter that should be predicted quickly and accurately. In building a Mach number prediction model, large-scale and high-dimensional data is the main issue. To solve the issue, the feature subsets ensemble (FSE) method has been proposed. However, a major drawback of the FSE method is that a large number of submodels are necessarily combined. In this paper, the maximum entropy pruning (MEP) method is proposed to overcome this drawback in the FSE Mach number prediction model. The MEP method refers to finding a subset of submodels that best approximates the entire submodels, while maximizing the quadratic Rényi entropy criterion. Experiments demonstrate that, with much fewer submodels than the FSE and other Mach number models, the MEP-FSE Mach number model can improve the prediction performance (i.e., the generalization), and meet the requirements of the forecasting speed and the root mean square error (less than 0.002).

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to acknowledge China Aerodynamics Research and Development Center for providing the data. This work is supported by the National Natural Science Foundation of China (Nos. 61672121, 61572093, 61425002, 61402066, 61402067, 61370005, 31370778, 613700057, 61300015, 31170797, 61103057), the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT_15R07), the Program for Liaoning Innovative Research Team in University (No. LT2015002), the Basic Research Program of the Key Lab in Liaoning Province Educational Department (Nos. LZ2014049, LZ2015004), Natural Science Foundation of Liaoning Province (No. 2014020132), Scientific Research Fund of Liaoning Provincial Education (Nos. L2015015, L2014499), and the Program for Liaoning Key Lab of Intelligent Information Processing and Network Technology in University.

References

Acuña, G., Ramirez, C., and Curilem, M. (2014). “Software sensors for biomass concentration in a SSC process using artificial neural networks and support vector machine.” Bioprocess Biosyst. Eng., 37(1), 27–36.
Anastassiou, G. A. (2010). Fuzzy mathematics: Approximation theory, on fuzzy Taylor formulae, Springer, Berlin.
Banfield, R. E., Hall, L. O., Bowyer, K. W., and Kegelmeyer, W. P. (2005). “Ensemble diversity measures and their application to thinning.” Inf. Fusion, 6(1), 49–62.
Barros, J. D., Silva, J. F. A., and Jesus, É. G. A. (2013). “Fast-predictive optimal control of NPC multilevel converters.” IEEE Trans. Ind. Electron., 60(2), 619–627.
Boubezoul, A., and Paris, S. (2012). “Application of global optimization methods to model and feature selection.” Pattern. Recognit., 45(10), 3676–3686.
Ceperic, V., Gielen, G., and Baric, A. (2012). “Recurrent sparse support vector regression machines trained by active learning in the time-domain.” Expert Syst. Appl., 39(12), 10933–10942.
Chaney, C. S., Bahrami, J. K., Gavin, P. A., Shoemake, E. D., Barrow, E. S., and Matveev, K. I. (2014). “Car-top test module as a low-cost alternative to wind tunnel testing of UAV propulsion systems.” J. Aerosp. Eng., 27(6), .
Chen, B., Wei, Q., Shao, T., Li, Y., and Huang, X. (2015). “Aeroacoustic imaging experiments of airframe noise in lined wall closed-section wind tunnel.” J. Aerosp. Eng., .
Dandois, J., and Pamart, P. Y. (2013). “NARX modeling and extremum-seeking control of a separation.” J. Aerosp. Lab, 6(6), 1–13.
De Brabanter, K., De Brabanter, J., Suykens, J. A. K., and De Moor, B. (2010). “Optimized fixed-size kernel models for large data sets.” Comput. Stat. Data Anal., 54(6), 1484–1504.
Dietterich, T. G. (2000). “An experimental comparison of three methods for constructing ensembles of decision trees: Bagging, boosting, and randomization.” Mach. Learn., 40(2), 139–157.
Doig, G. (2014). “Transonic and supersonic ground effect aerodynamics.” Prog. Aerosp. Sci., 69, 1–28.
Kim, Y., and Kim, B. S. (2013). “Pitch autopilot design for agile missiles with uncertain aerodynamic coefficients.” IEEE Trans. Aerosp. Electron. Syst., 49(2), 907–914.
Krogh, A., and Vedelsby, J. (1995). “Neural network ensembles, cross validation, and active learning.” Advances in neural information processing systems, G. Tesauro, D. S. Touretzky, and T. K. Leen, eds., MIT, Cambridge, MA.
Leontaritis, J., and Billings, S. A. (1985). “Input-output parametric models for nonlinear systems. Part I: Deterministic nonlinear systems. Part II: Stochastic nonlinear system.” Int. J. Control, 41(2), 303–328.
Margineantu, D., and Dietterich, T. G. (1997). “Pruning adaptive boosting.” Proc. 14th Int. Conf. on Machine Learning, D. H. Fisher, ed., Morgan Kaufmann, San Francisco.
Martínez-Munoz, G., Hernández-Lobato, D., and Suárez, A. (2009). “An analysis of ensemble pruning techniques based on ordered aggregation.” IEEE Trans. Pattern. Anal. Mach. Intell., 31(2), 245–259.
Norgaard, M. (2000). “Neural network based system identification toolbox for use with MATLAB.” ⟨http://www.iau.dtu.dk/research/control/nnsysid.html⟩ (Jan. 23, 2000).
Perrone, M. P., and Cooper, L. N. (1993). When networks disagree: Ensemble methods for hybrid neural networks, Chapman & Hall, London.
Rényi, A. (1961). “On measures of information and entropy.” Proc., 4th Berkeley Symp. on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics, University of California Press, Berkeley, CA.
Scott, D. W. (1992). Multivariate density estimation: Theory, practice, and visualization, Wiley, New York.
Soeterboek, R. A. M., Pels, A. F., Verbruggen, H. B., and Langen, G. C. A. (1991). “A predictive controller for the Mach number in a transonic wind tunnel.” IEEE Control Syst., 11(1), 63–72.
Suykens, J. A. K., Gestel, T. V., De Brabanter, J., De Moor, B., and Vandewalle, B. J. (2002). Least squares support vector machines, World Scientific, Singapore.
Wang, X., Yuan, P., and Mao, Z. (2015). “Ensemble fixed-size LS-SVMs applied for the Mach number prediction in transonic wind tunnel.” IEEE Trans. Aerosp. Electron. Syst., 51(4), 3167–3181.
Zegeye, S. K., De Schutter, B., Hellendoorn, J., Breunesse, E. A., and Hegyi, A. (2012). “A predictive traffic controller for sustainable mobility using parameterized control policies.” IEEE Trans. Intell. Transp. Syst., 13(3), 1420–1429.
Zhang, G. (1998). “Reach on model and control of wind tunnel process.” Ph.D. thesis, Northeastern Univ., Shenyang, China.
Zhang, Y., Burer, S., and Street, W. N. (2006). “Ensemble pruning via semi-definite programming.” J. Mach. Learn. Res., 7, 1315–1338.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 30Issue 4July 2017

History

Received: Jun 8, 2015
Accepted: Oct 19, 2016
Published online: Feb 10, 2017
Published in print: Jul 1, 2017
Discussion open until: Jul 10, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Xiaojun Wang [email protected]
University Lecturer, Key Laboratory of Advanced Design and Intelligent Computing, Ministry of Education, Dalian Univ., Dalian 116622, People’s Republic of China (corresponding author). E-mail: [email protected]
Associate Professor, Institute of Automatization, College of Information Science and Engineering, Northeastern Univ., Shenyang 110004, People’s Republic of China. E-mail: [email protected]
Zhizhong Mao [email protected]
Professor, Institute of Automatization, College of Information Science and Engineering, Northeastern Univ., Shenyang 110004, People’s Republic of China. E-mail: [email protected]
Engineer, Institute of High Speed Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, People’s Republic of China. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share