Tensor-product model-based control of two-dimensional aeroelastic system

Journal of Guidance, Control, and Dynamics

Volumn 29, Issue 2, 2006, Pages 391-400

  Baranyi, Péter ^a,b,c  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b Japanese Hungarian Laboratory ^*  (Hungary)

^c Integrated Intelligent Systems Japanese Hungarian Laboratory   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; CONTROL THEORY; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; OSCILLATIONS; ROBUSTNESS (CONTROL SYSTEMS); SPECIFICATIONS;

NUMERICAL ROBUST-CONTROL DESIGN METHOD; PARALLEL-DISTRIBUTED-COMPENSATION DESIGN FRAMEWORK; TENSOR-PRODUCT MODEL-BASED CONTROL; TWO-DIMENSIONAL AEROELASTIC SYSTEM;

CONTROL SYSTEMS;

EID: 33645571607     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.9462     Document Type: Article

References (37)

1. Lathauwer, L. D., Moor, B. D., and Vandewalle, J., "A Multi Linear Singular Value Decomposition," Journal on Matrix Analysis and Applications, Vol. 21, No. 4, 2000, pp. 1253-1278.
2. Price, S. J., Alighanbari, H., and Lee, B. H. K., "Postinstability Behavior of a Two-Dimensional Airfoil with a Structural Nonlinearity of Aircraft," Journal of Aircraft, Vol. 31, No. 6, 1994, pp. 1395-1401.
3. Price, S. J., Alighanbari, H., and Lee, B. H. K., "The Aeroelastic Response of a Two-Dimensional Airfoil with Bilinear and Cubic Structural Nonlinearities," Proceedings of the 35th AIAA Structures, Structural Dynamics, and Matirials Conference, AIAA, Washington, DC, 1994, pp. 1771-1780.
4. Lee, B. H. K., and LeBlanc, P., "Flutter Analysis of a Two-Dimensional Airfoil: The Cubic Non-Linear Restoring Force," National Aeronautical Estalishment, Aeronautical Note-36, NRC No. 25336, National Research Council, Ottawa, 1986.
5. Zhao, L. C., and Yang, Z. C., "Chaotic Motions of an Airfoil with Non-linear Stiffness in Incompressible Flow," Journal of Sound and Vibration, Vol. 138, No. 2, 1990, pp. 245-254.
6. O'Neil, T., and Strganac, T. W., "An Experimental Investigation of Non-linear Aeroelastic Response," Proceedings of the 36th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA, Washington, DC, 1995, pp. 2043-2051.
7. Marzocca, P., and Librescu, L., "Aeroelastic Response of Nonlinear Wing Sections Using a Functional Series Technique," AIAA Journal, Vol. 40, No. 5, 2002, pp. 813-824.
8. Block, J. J., and Strganac, T. W., "Applied Active Control for Nonlinear Aeroelastic Structure," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 6, 1998, pp. 838-845.
9. Waszak, M. R., "Robust Multivariable Flutter Suppression for the Benchmark Active Control Technology (BACT) Wind-Tunnel Model," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 1, 1997, pp. 147-143.
10. Mukhopadhyay, V., "Transonic Flutter Suppression Control Law Design and Wind-Tunnel Test Results," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 5, 2000, pp. 930-937.
11. Kelkar, A. G., and Joshi, S. M., "Passivity-Based Robust Control with Application to Benchmark Controls Technology Wing," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 5, 2000, pp. 938-947.
12. Ko, J., Kurdila, A. J., and Strganac, T. W., "Nonlinear Control of a Prototypical Wing Section with Torsional Nonlinearity," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 6, 1997, pp. 1181-1189.
13. Ko, J., Kurdila, A. J., and Strganac, T. W., "Adaptive Feedback Linearization for the Control of a Typical Wing Section with Structural Nonlinearity," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, 1998, pp. 718-725.
14. Xing, W., and Singh, S. N., "Adaptive Output Feedback Control of a Nonlinear Aeroelastic Structure," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 6, 2000, pp. 1109-1116.
15. Ko, J., Kurdila, A. J., and Strganac, T. W., "Nonlinear Control Theory for a Class of Structural Nonlinearities in a Prototypical Wing Section," AIAA Paper 97-0580, Jan. 1997.
16. O'Neil, T., Gilliat, H. C., and Strganac, T. W., "Investigations of Aeroelastic Response for a System with Continuous Structural Nonlinearities," AIAA Paper 96-1390, April 1996.
17. Ko, J., and Strganac, T. W., "Stability and Control of a Structurally Nonlinear Aeroelastic System," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, 1998, pp. 718-725.
18. Yim, W., Singh, S. N., and Wells, W., "Nonlinear Control of a Prototypical Aeroelastic Wing Section: State-Dependent Riccati Equation Method," International Conference on Nonlinear Problems in Aviation and Aerospace (ICNPAA'02), May 2002, pp. 543-550.
19. Scott, R. C., and Pado, L. E., "Active Control of Wind-Tunnel Model Aeroelastic Response Using Neural Networks," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 6, 2000, pp. 1100-1108.
20. Baranyi, P., Tikk, D., Yam, Y., and Patton, R. J., "From Differential Equations To PDC Controller Design via Numerical Transformation," Computers in Industry, Vol. 51, 2003, pp. 281-297.
21. Baranyi, P., "TP Model Transformation as a Way To LMI-Based Controller Design," IEEE Transactions on Industrial Electronics, Vol. 51, No. 2, 2004, pp. 387-400.
22. Tanaka, K., and Wang, H. O., Fuzzy Control Systems Design and Analysis - A Linear Matrix Inequality Approach, Wiley, New York, 2001.
23. Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M., LMI Control Toolbox, MathWorks, Natick, MA, 1995.
24. Fung, Y. C., An Introduction To the Theory of Aeroelasticity, Wiley, New York, 1955.
25. Dowell, E. H., Curtiss, H. C. J., Scanlan. R. H., and Sisto, F. (eds.), A Modern Course in Aeroelasticity, Stifthuff and Noordhoff, Alpen aan den Rijn, The Netherlands, 1978.
26. Tikk, D., Baranyi, P., Patton, R. J., and Tar, J., "Approximation Capability of TP Model Forms," Australian Journal of Intelligent Information Processing System, Vol. 8, No. 3, 2004, pp. 155-163.
27. Yam, Y., Baranyi, P., and Yang, C. T., "Reduction of Fuzzy Rule Base via Singular Value Decomposition." IEEE Transactions on Fuzzy Systems, Vol. 7, No. 2, 1999, pp. 120-132.
28. Yam, Y., Yang, C. T., and Baranyi, P., "Singular Value-Based Fuzzy Reduction with Relaxed Normalization Condition," Interpretability Issues in Fuzzy Modeling, J. Casillas, O. Cordn, F. Herrera, and L. Magdalena (eds.), Vol. 128, Studies in Fuzziness and Soft Computing, Springer-Verlag, 2003, pp. 325-354.
29. Nesterov, Y., and Nemirovsky, A., Interior-Point Polynomial Methods in Convex Programing: Theory and Applications, SIAM Books, Philadelphia, 1994.
30. Boyd, S., Ghaoui, L. E., Feron, E., and Balakrishnan, V., "Linear Matrix Inequalities in System and Control Theory," Society for Industrial and Applied Mathematics, Philadelphia, 1994.
31. Ghaoui, L. E., and Niculescu, S. I., Advances in Linear Matrix Inequality Methods in Control, Advances in Design and Control, Society for Industrial and Applied Mathematics, Philadelphia, 2000.
32. ∞ Control," International Journal on Robust and Nonlinear Control, Vol. 4, 1994, pp. 421-448.
33. ∞ Control Problem: LMI Existence Conditions and State-Space Formulas," Automatica, Vol. 30, No. 8, 1994, pp. 1307-1317.
34. Barmish, B., "Stabilization of Uncertain Systems via Linear Control," IEEE Transactions on Automation and Control, Vol. AC-28, Aug. 1983, pp. 848-850.
35. ∞ Design with Pole Placement Constrains: An LMI Approach," IEEE Transactions on Automation and Control, Vol. 41, No. 3, 1996, pp. 358-367.
36. ∞," IEEE Transactions on Automation and Control, Vol. 39, 1991, pp. 824-837.
37. Scherer, C. W., Gahinet, P., and Chilali, M., "Multi-Objective Output-Feedback Control via LMI Optimization," IEEE Transactions on Automation and Control, Vol. 42, 1997, pp. 896-911.