Design of an Adaptive Observer without Using Output Derivative Measurements

출력의 미분항을 사용하지 않는 적응 관측기 설계 방법

  • 손영익 (명지대 공대 전기공학과) ;
  • 심형보 (서울대 공대 전기컴퓨터공학부) ;
  • 백주훈 (서울대 공대 전기컴퓨터공학부) ;
  • 조남훈 (숭실대 공대 전기제어시스템공학부)
  • Published : 2004.06.01

Abstract

By using an adaptive algorithm, together with an additional dynamic system, this paper proposes a new approach to design of a state observer for a class of uncertain systems. We enlarge the class of linear systems from the canonical form of [1] by proposing an adaptive observer that allows unknown parameters to affect those unmeasured states. The result is based on a recent result which presents a design algorithm for an additional system to replace output derivative measurements with the additional dynamics. A numerical example illustrates the design procedure of the state observer.

Keywords

References

  1. Gildas Besancon, 'Remarks on nonlinear adaptive observer design,' Systems & Control Letters, vol. 41, pp. 271-280, 2000 https://doi.org/10.1016/S0167-6911(00)00065-7
  2. R.L. Carroll and D.P. Lindorfe, 'An adaptive observer for single-input single-output linear systems,' IEEE Trans. Automat. Contr., vol. 18, pp. 428-435, 1973 https://doi.org/10.1109/TAC.1973.1100367
  3. G. Luders and KS. Narendra, 'An adaptive observer and identifier for a linear system,' IEEE Trans. Automat. Contr., vol. 18, pp. 496-499, 1973 https://doi.org/10.1109/TAC.1973.1100369
  4. G. Luders and KS. Narendra, 'A new canonical form for an adaptive observer,' IEEE Trans. Automat. Contr., vol. 19, pp. 117-119, 1974 https://doi.org/10.1109/TAC.1974.1100499
  5. G. Kreisselmeier, 'Adaptive observers with exponential rate of convergence,' IEEE Trans. Automat. Contr., vol. 22, pp. 2-8, 1977 https://doi.org/10.1109/TAC.1977.1101401
  6. G. Bastin and M.R. Gevers, 'Stable adaptive observers for nonlinear time-varying systems,' IEEE Trans. Automat. Contr., vol. 33, pp. 650-658, 1988 https://doi.org/10.1109/9.1273
  7. PA Ioannou and J. Sun, Robust Adaptive Control, Englewood Cliffs, NJ: Prentice-Hall, 1996
  8. Young I. Son, H. Shim, K Park, and Jin H. Seo, 'Passification of non-square linear systems using an input-dimensional dynamic feedforward compensator,' IEICE Trans. on Fundamentals of ECCS, vol. E85- A, no. 2, pp. 422-431, 2002
  9. 손영익, '입력 차수 보상기를 이용한 비정방 선형 시스템의 출력 궤환 수동화,' 전기학회 논문지, Vol. 53D, no. 1, pp. 10-15, 2004
  10. C.T. Chen, Linear System Theory and Design, New York: Oxford Univerisity Press, 1984
  11. A. Isidori, Nonlinear Control Systems, Springer-Verlag, 3rd Ed., 1995
  12. M. Krstic, I. Kanellakopoulos, and P.V. Kokotovic, Nonlinear and Adaptive Control Design, John Wiley & Sons, Inc., 1995