DOI QR코드

DOI QR Code

A Quantitative Performance Input for an Input Observer ( I ) - Analysis in Transient State -

입력관측기의 정량적 성능지표 (I) -과도상태 해석-

  • 정종철 (한양대학교 대학원 정밀기계공학과) ;
  • 이범석 (삼성테크원㈜) ;
  • 허건수 (한양대학교 기계공학부)
  • Published : 2002.10.01

Abstract

The closed-loop state and input observer is a pole-placement type observer and estimates unknown state and input variables simultaneously. Pole-placement type observers may have poor transient performance with respect to ill-conditioning factors such as unknown initial estimates, round-off error, etc. For the robust transient performance, the effects of these ill-conditioning factors must be minimized in designing observers. In this paper, the transient performance of the closed-loop state and input observer is investigated quantitatively by considering the error bounds due to ill-conditioning factors. The performance indices are selected from these error bounds and are related to the observer robustness with respect to the ill -conditioning factors. The closed-loop state and input observer with small performance indices is considered as a well-conditioned observer from the transient perspective.

Keywords

Performance Index;Transient State;Robustness;Closed-loop State and Input Observer(CSIO);Condition Number

References

  1. Liu, G. P. and Patton, R. J., 1998, Eigenstructure Assignment for Control System Design, John Wiley & Sons Ltd
  2. Seo, Y. B., Choi, J. W. and Lee, M. H., 2000, 'Eigenstructure Assignment for LTI Systems with Stochastic Parameter Variations,' Proc. of the American Control Conference, pp. 3812-3816 https://doi.org/10.1109/ACC.2000.876935
  3. Huh, K. and Stein, J. L., 1994, 'A Quantitative Performance Index for Observer-Based Monitoring Systems,' ASME J. of Dynamic Systems, Measurement and Control, Vol. 116, pp. 487-497 https://doi.org/10.1115/1.2899243
  4. Lam, J. and Tam, H. K., 1997, 'Regional pole assignment with eigenstructure robustness,' Int. J. of Systems Science, Vol. 28, No.5, pp. 507-515 https://doi.org/10.1080/00207729708929411
  5. Huh, K. and Stein, J. L., 1995, 'Well-Conditioned Observer Design for Observer-Based Monitoring Systems', ASME J. of Dynamic Systems, Measurement and Control, Vol. 117, pp. 592-599 https://doi.org/10.1115/1.2801119
  6. Patton, R. J. and Chen, J., 1997, 'Observer-Based fault Detection and Isolation:Robustness and Applications,' Control Engineering Practice, Vol. 5, No.5, pp.671-682 https://doi.org/10.1016/S0967-0661(97)00049-X
  7. Jung, J., Lee, B. and Huh, K., 2002, 'A Quantitative Performance Index for an Input Observer (II), - Analysis in Steady-State,' Trans. of the KSME, A. Vol. 26, No. 10, pp. 2067-2072
  8. Golub, G. H. and Van Loan, C. F., 1989, Matrix Computations, 2nd Ed., The Johns Hopkins Univ. Press
  9. Park, Y. and Stein, J. L., 1988, 'Closed-Loop, State and Input Observer for Systems with Unknown Inputs,' Int. J. of Control, Vol. 48, No.3, pp. 1121-1136 https://doi.org/10.1080/00207178808906239
  10. Corless, M. and Tu, J., 1998, 'State and Input Estimation for a Class of Uncertain Systems,' Automatica, Vol. 34, No.6, pp, 757-764 https://doi.org/10.1016/S0005-1098(98)00013-2
  11. Xiong, Y. and Saif, M., 2000, 'Output Derivative Free Design of Unknown Input Plus State Functional Observer,' Proc. of the American Control Conference, pp. 399-403 https://doi.org/10.1109/ACC.2000.878929
  12. Berger, W. A., Perry, R. J. and Sun, H. H., 1988, 'Eigenvalue Sensitivity in Multivariable Systems,' IEEE Conf. on Systems Engineering, pp. 433-436 https://doi.org/10.1109/ICSYSE.1989.48709
  13. Spurgeon, S. K., 1990, 'Pole Placement and Extensions for Multivariable Systems-A Survey,' Proc. of the American Control Conference, Vol. 2, pp. 1660-1665
  14. Junkins, L. J and Kim, Y., 1993, Introduction to Dynamics and Control of Flexible Structures, AIAA Education Series