International Journal of Aeronautical and Space Sciences

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
권호 표지
DOI QR코드

DOI QR Code

Robust Adaptive Output Feedback Control Design for a Multi-Input Multi-Output Aeroelastic System

  • Wang, Z. (Department of Electrical Engineering and Computer Science, University of Central Florida, NanoScience Technology Center, University of Central Florida) ;
  • Behal, A. (Department of Electrical Engineering and Computer Science, University of Central Florida, NanoScience Technology Center, University of Central Florida) ;
  • Marzocca, P. (Mechanical and Aeronautical Engineering, Clarkson University)
  • Received : 2011.05.20
  • Accepted : 2011.06.07
  • Published : 2011.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, robust adaptive control design problem is addressed for a class of parametrically uncertain aeroelastic systems. A full-state robust adaptive controller was designed to suppress aeroelastic vibrations of a nonlinear wing section. The design used leading and trailing edge control actuations. The full state feedback (FSFB) control yielded a global uniformly ultimately bounded result for two-axis vibration suppression. The pitching and plunging displacements were measurable; however, the pitching and plunging rates were not measurable. Thus, a high gain observer was used to modify the FSFB control design to become an output feedback (OFB) design while the stability analysis for the OFB control law was presented. Simulation results demonstrate the efficacy of the multi-input multi-output control toward suppressing aeroelastic vibrations and limit cycle oscillations occurring in pre- and post-flutter velocity regimes.

Keywords

References

  1. Astrom, K. J. and Rundqwist, L. (1989). Integrator windup and how to avoid it. Proceedings of American Control Conference, Pittsburgh, PA. pp. 1693-1698.
  2. Atassi, A. N. and Khalil, H. K. (1999). A separation principle for the stabilization of a class of nonlinear systems. IEEE Transactions on Automatic Control, 44, 1672-1687. https://doi.org/10.1109/9.788534
  3. Behal, A., Marzocca, P., Rao, V. M., and Gnann, A. (2006a). Nonlinear adaptive control of an aeroelastic two-dimensional lifting surface. Journal of Guidance, Control, and Dynamics, 29, 382-390. https://doi.org/10.2514/1.14011
  4. Behal, A., Rao, V. M., Marzocca, P., and Kamaludeen, M. (2006b). Adaptive control for a nonlinear wing section with multiple flaps. Journal of Guidance, Control, and Dynamics, 29, 744-749. https://doi.org/10.2514/1.18182
  5. Chen, J., Behal, A., and Dawson, D. M. (2008). Robust feedback control for a class of uncertain MIMO nonlinear systems. IEEE Transactions on Automatic Control, 53, 591- 596. https://doi.org/10.1109/TAC.2008.916658
  6. Gujjula, S., Singh, S. N., and Yim, W. (2005). Adaptive and neural control of a wing section using leading- and trailingedge surfaces. Aerospace Science and Technology, 9, 161- 171. https://doi.org/10.1016/j.ast.2004.10.003
  7. Khalil, H. K. (1996). Nonlinear Systems. 2nd ed. Upper Saddle River, NJ: Prentice Hall.
  8. Librescu, L. and Marzocca, P. (2005). Advances in the linear/nonlinear control of aeroelastic structural systems. Acta Mechanica, 178, 147-186. https://doi.org/10.1007/s00707-005-0222-6
  9. Morse, A. S. (1993). A gain matrix decomposition and some of its applications. Systems and Control Letters, 21, 1-10. https://doi.org/10.1016/0167-6911(93)90038-8
  10. Mukhopadhyay, V. (2000a). Benchmark active control technology special section: part II. Journal of Guidance Control and Dynamics, 23, 1093-1093. https://doi.org/10.2514/2.4659
  11. Mukhopadhyay, V. (2000b). Benchmark active control technology: part I. Journal of Guidance Control and Dynamics, 23, 913-913. https://doi.org/10.2514/2.4631
  12. Mukhopadhyay, V. (2001). Benchmark active control technology special section: part III. Journal of Guidance Control and Dynamics, 24, 146-146. https://doi.org/10.2514/2.4693
  13. Platanitis, G. and Strganac, T. W. (2004). Control of a nonlinear wing section using leading- and trailing-edge surfaces. Journal of Guidance, Control, and Dynamics, 27, 52-58. https://doi.org/10.2514/1.9284
  14. Pomet, J. B. and Praly, L. (1992). Adaptive nonlinear regulation: estimation from the Lyapunov equation. IEEE Transactions on Automatic Control, 37, 729-740. https://doi.org/10.1109/9.256328
  15. Reddy, K. K., Chen, J., Behal, A., and Marzocca, P. (2007). Multi-input/multi-output adaptive output feedback control design for aeroelastic vibration suppression. Journal of Guidance, Control, and Dynamics, 30, 1040-1048. https://doi.org/10.2514/1.27684
  16. Wang, Z., Behal, A., and Marzocca, P. (2010a). Adaptive and robust aeroelastic control of nonlinear lifting surfaces with single/multiple control surfaces: a review. International Journal of Aeronautical and Space Sicences, 11, 285-302. https://doi.org/10.5139/IJASS.2010.11.4.285
  17. Wang, Z., Behal, A., and Marzocca, P. (2011). Model-free control design for multi-input multi-output aeroelastic system subject to external disturbance. Journal of Guidance, Control, and Dynamics, 34, 446-458. https://doi.org/10.2514/1.51403
  18. Wang, Z., Chen, J., and Behal, A. (2010b). Robust adaptive control design for a class of uncertain MIMO nonlinear systems. IEEE International Symposium on Intelligent Control, Yokohama, Japan. pp. 2284-2289. https://doi.org/10.1109/ISIC.2010.5612881
  19. Zhang, X., Behal, A., Dawson, D. M., and Xian, B. (2005). Output Feedback Control for a Class of Uncertain MIMO Nonlinear Systems With Non-Symmetric Input Gain Matrix, IEEE Conference on Decision and Control, Seville, Spain, pp. 7762-7767, December 2005. https://doi.org/10.1109/CDC.2005.1583416