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Frequency Domain System Identification

  • Ioannis A. RaptisEmail author
  • Kimon P. Valavanis
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 45)

Abstract

Any helicopter flight controller design requires knowledge of a mathematical model that accurately describes the dynamic behavior of the helicopter. This mathematical model is represented by a set of ordinary differential equations. Establishing such a model for helicopters is a challenging task. This Chapter provides a thorough description of a frequency domain identification procedure for the extraction of linear models that correspond to certain operating conditions of the helicopter. The discussed methodology was initially presented in (Tischler and Remple in Aircraft and Rotorcraft System Identification, AIAA Education Series, AIAA, Washington, 2006) and it has been successfully applied for a small-scale helicopter in the work reported in (Mettler in Identification Modeling and Characteristics of Miniature Rotorcraft, Kluwer Academic Publishers, Norwell, 2003). The frequency domain identification procedure is evaluated for an experimental small-scale Radio Controlled (RC) Raptor 90 SE helicopter using the X-plane flight simulator. The Raptor 90 SE helicopter has also been used for the evaluation and comparison of the several controller designs and identification methods that are presented in this book.

Keywords

State Space Model Coherence Function Excitation Signal Main Rotor Flight Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 5.
    J.S. Bendat, A.J. Piersol, Random Data: Analysis & Measurement Procedures (Wiley–Interscience, New York, 1971) zbMATHGoogle Scholar
  2. 7.
    A.R.S. Bramwell, G. Done, D. Balmford, Bramwell’s Helicopter Dynamics (Butterworth Heinemann, Stoneham, 2001) Google Scholar
  3. 8.
    A. Budiyonoa, S.S. Wibowob, Optimal tracking controller design for a small scale helicopter. Journal of Bionic Engineering 4(4), 271–280 (2007) CrossRefGoogle Scholar
  4. 10.
    G. Cai, B.M. Chen, K. Peng, M. Dong, T.H. Lee, Modeling and control system design for a UAV helicopter, in 14th Mediterranean Conference on Control and Automation, 2006 Google Scholar
  5. 19.
    D. Ernst, K. Valavanis, J. Craighead, Automated process for unmanned aerial systems controller implementation using MATLAB, in 14th Mediterranean Conference on Control and Automation, 2006, MED ’06, 2006 Google Scholar
  6. 20.
    B. Etkin, Dynamics of Flight: Stability and Control (Wiley, New York, 1959) Google Scholar
  7. 23.
    G.F. Franklin, J.D. Powell, A. Emami-Naeini, Feedback Control of Dynamic Systems (Prentice Hall, New York, 2002) Google Scholar
  8. 27.
    J. Gadewadikar, F. Lewis, K. Subbarao, B. Chen, Structured \(\mathcal{H}_{\infty}\) command and control-loop design for unmanned helicopters. Journal of Guidance, Control and Dynamics 31, 1093–1102 (2008) CrossRefGoogle Scholar
  9. 28.
    J. Gadewadikar, F.L. Lewis, K. Subbarao, K. Peng, B.M. Chen, \(\mathcal{H}_{\infty}\) static output-feedback control for rotorcraft, in AIAA Guidance, Navigation, and Control Conference and Exhibit, 2006 Google Scholar
  10. 46.
    V. Klein, E.A. Moreli, Aircraft System Identification Theory and Practice, AIAA Education Series (AIAA, Washington, 2006) CrossRefGoogle Scholar
  11. 61.
    L. Ljung, System Identification (Prentice Hall, New York, 1987) zbMATHGoogle Scholar
  12. 62.
    L. Ljung, System Identification: Theory for the User (Prentice Hall, New York, 1999) Google Scholar
  13. 70.
    B. Mettler, Identification Modeling and Characteristics of Miniature Rotorcraft (Kluwer Academic Publishers, Norwell, 2003) CrossRefGoogle Scholar
  14. 71.
    B. Mettler, T. Kanade, M.B. Tischler, System identification modeling of a model-scale helicopter, Technical report, Carnegie Mellon University, 2000 Google Scholar
  15. 72.
    B. Mettler, M.B. Tischler, T. Kanade, System identification of small-size unmanned helicopter dynamics, in Presented at the American Helicopter Society 55th Forum, May 1999 Google Scholar
  16. 73.
    S.K. Mitra, Digital Signal Processing: A Computer-Based Approach (McGraw-Hill, New York, 2006) Google Scholar
  17. 76.
    A.V. Oppenheim, R.W. Shafer, J.R. Buck, Discrete-Time Signal Processing (Prentice Hall, New York, 1999) Google Scholar
  18. 77.
    A.V. Oppenheim, A.S. Willsky, I.T. Young, Signals and Systems (Prentice Hall, New York, 1983) zbMATHGoogle Scholar
  19. 79.
    G.D. Padfield, Helicopter Flight Dynamics: The Theory and Application of Flying Qualities and Simulation Modeling, AIAA Education Series (Blackwell Science, Oxford, 1996) Google Scholar
  20. 84.
    R.W. Prouty, Helicopter Performance, Stability and Control (Krieger Publishing Company, Melbourne, 1995) Google Scholar
  21. 86.
    E. Seckel, Stability and Control of Airplanes and Helicopters (Academic Press, San Diego, 1964) Google Scholar
  22. 89.
    H.D. Shim, H.J. Kim, S. Sastry, Control system design for rotorcraft-based unmanned aerial vehicles using time-domain system identification, in Proceedings of the 2000 IEEE International Conference on Control Applications, 2000, pp. 808–813 Google Scholar
  23. 90.
    J. Shin, K. Nonami, D. Fujiwara, K. Hazawa, Model-based optimal attitude and positioning control of small-scale unmanned helicopter. Robotica 23, 51–63 (2005) CrossRefGoogle Scholar
  24. 93.
    T. Soderstrom, P. Stoica, System Identification (Prentice Hall, New York, 1989) Google Scholar
  25. 105.
    M.B. Tischler, R.K. Remple, Aircraft and Rotorcraft System Identification, AIAA Education Series (AIAA, Washington, 2006) Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Electrical and Computer EngineeringGeorgia Institute of TechnologyAtlantaUSA
  2. 2.Department of Electrical and Computer Engineering, and, Department of Computer Science, School of Engineering and Computer ScienceUniversity of DenverDenverUSA

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