Advertisement

Synthesis of LTI Controllers for Nonlinear SISO Plants

  • Oded Yaniv
Chapter
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 509)

Abstract

Most physical systems are characterized by uncertain nonlinear models, which pose a problem for feedback synthesis. It is thus natural to use a linearized approximation of the system. The local linearization method, is of course, very attractive, because it replaces the nonlinear uncertain plant by a set of uncertain LTI plants, for which the design of feedback controllers has already been solved, for example via the techniques presented in Chapter 2. These techniques can be applied to systems which can be locally linearized, while operating within the vicinity of its operating point or with its operating point changing slowly.

Keywords

Taylor Series Expansion Plant Output Time Domain Simulation Plant Input Nonlinear Plant 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes and References

  1. Lane, S. H., and Stengel, R. F., Flight Control Design Using Non-Linear Inverse Dynamic, Automatica, Vol. 24, no. 4, 1988, pp. 471–483.MathSciNetzbMATHCrossRefGoogle Scholar
  2. Adams, R. J. and S. Banda, Robust Flight Control Design Using Dynamic Inversion and Structured Singular Value Synthesis, IEEE on Control and Systems Technology, Vol. 1, no. 2, 1993.Google Scholar
  3. Horowitz, I., Improvements in Quantitative Nonlinear Feedback Design by Cancelation, International Journal of Control, Vol. 34, no. 3, 1981b, pp. 547–560.MathSciNetzbMATHCrossRefGoogle Scholar
  4. Slotine, E., and Li, W., Applied Nonlinear Control, Prentice Hall, New Jersey, 1991.zbMATHGoogle Scholar
  5. Friedland, B., 1996, Advanced Control System Design, Prentice Hall, New Jersey, 1996.zbMATHGoogle Scholar
  6. Horowitz, I., Invited Paper–Survey of Quantitative Feedback Theory (QFT), International Journal of Control, Vol. 53, no. 2, 1991, pp. 255–291.MathSciNetzbMATHCrossRefGoogle Scholar
  7. Horowitz, I., A Synthesis Theory for Linear Time Varying Feedback Systems with Plant Uncertainty, IEEE Transactions on Automatic Control, Vol. 20, no. 4, 1975, pp. 454–463.MathSciNetzbMATHCrossRefGoogle Scholar
  8. Horowitz, I., Synthesis of Feedback Systems with Nonlinear Time-Varying Uncertain Plants to Satisfy Quantitative Performance Specifications, IEEE Proceedings, Vol. 64, 1976, pp. 123–130.MathSciNetCrossRefGoogle Scholar
  9. Horowitz, I., Quantitative Synthesis of Uncertain Nonlinear Feedback Systems with Non-minimum Phase Inputs, International Journal of Systems Science,Vol. no. 1, no. 12, 198la, pp. 55–76.Google Scholar
  10. Horowitz, I., Improvements in Quantitative Nonlinear Feedback Design by Cancelation, International Journal of Control, Vol. 34, no. 3, 1981b, pp. 547–560.MathSciNetzbMATHCrossRefGoogle Scholar
  11. Horowitz, I., Non-linear Uncertain Feedback System with Initial State Values, International Journal of Control, Vol. 34, no. 4, 1981c, pp. 749–764.MathSciNetzbMATHCrossRefGoogle Scholar
  12. Horowitz, I., Feedback Systems with Nonlinear Uncertain Plants, International Journal of Control, Vol. 36, no. 1, 1982, pp. 155–171.MathSciNetzbMATHCrossRefGoogle Scholar
  13. Horowitz, I., A Synthesis Theory for a Class of Saturating Systems, International Journal of Control, Vol. 38, no. 1, 1983, pp. 169–187.zbMATHCrossRefGoogle Scholar
  14. Oldak, S., Baril, C., and Gutman, P.O., Quantitative Design of a Class of Nonlinear Systems with Parameter Uncertainty, Proc. QFT Symposium, Flight Dynamic Directorate, Wright Laboratory, Air-Force System Command, Wright Patterson Air-Force Base, OHIO, WL-TR-92–3063, 1992, pp. 542–564.Google Scholar
  15. Banos, A., Bailey, F.N., and Montoya, F.J., QFT Design of Non-linear Controllers by Using Finite Sets of Acceptable Outputs, Symposium on Quantitative Feedback Theory and Other Frequency Domain Methods and Applications, University of StrathClyde, August 21–22, 1997, pp. 227–234.Google Scholar
  16. Rober, S.J., Shin, Y.C., and Nwokah, O.D.I, A Digital Robust Controller for Cutting Force Control in the End Milling Process, Transactions of the ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 119, no. 2, 1997, pp. 146–52.zbMATHCrossRefGoogle Scholar
  17. Kang, K., Pachter, M., Houpis, C.H., and Rasmussen, S., Modeling and Control of an Electro-Hydrostatic Aactuator, Proceedings of the IEEE 1995 National Aerospace and Electronics Conference, Dayton, OH, USA, 22–26 May 1995, Vol. 1, 545–56.Google Scholar
  18. Farsi, M., and Saddique S.M., Differential adaptive controller using quantitative feedback theory, Proceedings of the 1991 American Control Conference, Boston, MA, USA, 26–28 June, 1991, Vol. 2, pp. 1738–9.Google Scholar
  19. Bossert, D.E., Lamont, G.B, Leahy, M.B, and Horowitz, I., Model-Based Control With Quantitative Feedback Theory; Empirical Model Analysis, Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, HI, USA, 5–7 Dec., 1990, Vol. 3, pp. 1974–5.Google Scholar
  20. Bentley, A.E., Weld Quality Control Using Quantitative Feedback Theory, Proc. QFT Symposium, Flight Dynamic Directorate, Wright Laboratory, Air-Force System Command, Wright Patterson Air-Force Base, OHIO, WL-TR-923063, 1992 pp. 238–263.Google Scholar
  21. Boje, E., Quantitative Design of Scheduled Controllers for Plants with Measurable Transport Rates, Proceedings of the 111th Triennial World Congress of the International Federation of Automatic Control, Tallin, USSR, 13–17 Aug. 1990, Vol. 1, pp. 173–176.Google Scholar
  22. Kelemen M., Kannai Y and Horowitz I, Improved Method for Designing Linear Distributed Feedback Systems, Int. J. Adaptive Cont. Sig. Proc. Vol. 4, pp., 1992, 249–257.Google Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Oded Yaniv
    • 1
  1. 1.Faculty of EngineeringTel Aviv UniversityIsrael

Personalised recommendations