Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Reduced-Order Observer Design for Nonlinear Systems Using Input Output Linearization Transformation

입출력선형화 상태변환을 이용한 비선형 시스템의 저차 관측기 설계

  • 조남훈 (숭실대학교 전기제어시스템공학부)
  • Published : 2004.10.01
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Abstract

In this paper, we present a reduced-order observer for a class of nonlinear systems based on the input output linearization. While the most results in the literature presented full-order nonlinear observer, we proposed a procedure for the design of reduced-order observer far nonlinear systems that are not necessarily observable. Assuming that there exists a global observer fer internal dynamics and that certain functions are globally Lipschitz, we can design a global reduced-order observer An illustrative example is included that demonstrate the design procedure of the proposed reduced-order observer.

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References

  1. A. J. Krener, and A. Isidori, 'Linearization by output injection and nonlinear observers,' Systems and Control Letters, vol. 3, pp. 47-52, 1983 https://doi.org/10.1016/0167-6911(83)90037-3
  2. A. J. Krener and W. Respondek, 'Nonlinear observers with linearizable error dynamics,' SIAM Journal on Control and Optimization, vol. 23, pp. 197-216, 1985 https://doi.org/10.1137/0323016
  3. J. Rudolph and M. Zeitz, 'A block triangular nonlinear observer normal form,' Systems and Control Letters, vol. 23, pp. 1-8, 1994 https://doi.org/10.1016/0167-6911(94)90075-2
  4. J. P. Gauthier, H. Hammouri, and S. Othman, 'A simple observer for nonlinear systems : Application to bioreactors,' IEEE Trans. Automat. Contr., vol. 37, pp. 875-880, 1992 https://doi.org/10.1109/9.256352
  5. G. Ciccarella, M. Dallamora, and A. Germani, 'A luenberger-like observer for nonlinear systems,' Int. J. Contr., vol. 57, no. 3, pp. 537-556, 1993 https://doi.org/10.1080/00207179308934406
  6. R. A. Garcia, and C.E. Dattellis, 'Trajectory tracking in nonlinear systems via nonlinear reduced-order observers,' Int. J. Contr., vol. 62, no. 3, pp. 685-715, 1995 https://doi.org/10.1080/00207179508921563
  7. J. Tsinias, 'Observer design for nonlinear systems,' Systems and Control Letters, vol. 13, pp. 135-142, 1989 https://doi.org/10.1016/0167-6911(89)90030-3
  8. N. H. Jo, and J. H. Seo, 'A state observer for nonlinear systems and its application to ball and beam systems,' IEEE Trans. Automat. Contr, vol. 45, no. 5, pp. 968-973, 2000 https://doi.org/10.1109/9.855562
  9. N. H. Jo, and J. H. Seo, 'Input output linearization approach to state observer design for nonlinear systems,' IEEE Trans. Automat. Contr., vol. 45, no. 12, pp. 2388-2393, 2000 https://doi.org/10.1109/9.895580
  10. A. Isidori, Nonlinear Control Systems, Springer-Verlag, Berlin, 1989