Design of an Adaptive Obsever for a Class of Nonlinear Systems

  • Park, Yong-Un (School of Electrical and Computer Engineering, Seoul National University) ;
  • Hyungbo Shim (Division of Electrical and Computer Engineering, Hanyang University) ;
  • Young I. Son (Department of Electrical Engineering, Myongji University) ;
  • Jin H. Seo (School of Electrical and Computer Engineering, Seoul National University)
  • Published : 2003.03.01

Abstract

In this paper, the problem of designing an adaptive observer for a class of nonlinear systems with linear unknown parameters is studied. The nonlinear system to be considered consists of two blocks, only one of which has measurable states. Assuming the minimum-phase property of the error dynamics obtained after a change of coordinates and imposing some conditions on the functions multiplied by unknown parameters, an adaptive observer is constructed using an existing observer design method.

Keywords

References

  1. Nonlinear Systems H. K. Khalil
  2. Constructive Nonlinear Control R. Sepulchre;M. Jankovic;P. Kokotovic
  3. Nonlinear Control Design R. Marino;P. Tomei
  4. Systems & Control Letters v.3 Linearization by output injection and nonlinear observers A. J. Krener;A. Isidori https://doi.org/10.1016/0167-6911(83)90037-3
  5. SIAM J. Control and Optimization v.23 Nonlinear observer with linearizable error dynamics A. J. Krener;W. Respondek https://doi.org/10.1137/0323016
  6. IEEE Trans. on Automatic Control v.43 Observers for Lipschitz nonlinear systems R. Rajamani https://doi.org/10.1109/9.661604
  7. Proc. of Conf. on Decision and Control Recursive observer design beyond the uniform observability H. Shim;J. H. Seo
  8. International Journal of Control v.38 Canonical form observer design for nonlinear tie variable systems D. Bestle;M. Zeitz https://doi.org/10.1080/00207178308933084
  9. Robust Adaptive Control P. A. Ioannou;J. Sun
  10. Proc. of the 39th IEEE Conference on Decision and Control Nonlinear adaptive observer design for uncertain dynamical systems J. A. R. Vargas;E. M. Hemerly
  11. IEEE Trans. on Automatic Control v.40 Adaptive observers with arbitrary exponential rate of convergence for nonlinear systems R. Marino;P. Tomei https://doi.org/10.1109/9.400471
  12. IEEE Trans. on Automatic Control v.37 Global adaptive observers for nonlinear systems via filtered transformations R. Marino;P. Tomei https://doi.org/10.1109/9.151117
  13. Systems & Control Letters v.41 Remarks on nonlinear adaptive observer design G. Besancon https://doi.org/10.1016/S0167-6911(00)00065-7