파라미터 불확실성 시스템의 구간모델 식별

Identification of Interval Model for Parametric Uncertain Systems

  • 발행 : 2003.08.01

초록

This paper presents an algorithm of identifying parametric uncertainty by way of an interval model. For a given set of frequency response data from an uncertain linear SISO system of which the upper and the lower bounds of both magnitude and phase responses are represented, the proposed algorithm consists of two main parts: first, the nominal model is identified by using Least Square Estimation (LSE), and then an interval model is constructed by expanding the extremal properties of interval systems, so that tightly enclose the given envelopes within those of interval model. Two numerical examples are given to demonstrate and verify the developed algorithm. The identified interval model can be used for evaluating the worst case performance and stability margins against parametric uncertainty by using some extremal properties on interval systems.

키워드

참고문헌

  1. R. L. Kosut, G. C. Goodwin, and M. P. Polis, Eds., 'Special issue on system identification for robust control design,' IEEE Trans. on Automatic Control, vol. 37, no. 7, pp.899, July 1992
  2. M. Mansour, S. Balemi, and W. Truol, Eds., Robustness of dynamic systems with parameter uncertainties, Birkhauser, 1992
  3. R. S. Smith and M. Dahleh , Eds., The Modeling of uncertainty in control systems, Springer-Verlag, 1994
  4. J. Ackermann, Robust control: system with uncertain physical parameters, Springer-Verlag, 1994
  5. B.R Barmish, New tools for robustness of linear systems, MacMilan Publishing, 1994
  6. S.P. Bhattacharyya, H. Chapellat and L.H. Keel, Robust control: the parametric approach, Prentice Hall Publishing, Upper Saddle River, NJ, 1995
  7. L. H. Keel, J.-S. Lew, and S. P. Bhattacharyya, 'System identification using interval dynamic models', Proc. of American Control Conference, pp.1537-1542, 1994 https://doi.org/10.1109/ACC.1994.752327
  8. J.-S. Lew and L. H. Keel, 'Quantification of parametric uncertainty via an interval model', Journal of Guidance, Control, and Dynarmics, vol. 17, no. 6, pp. 1212-1218, 1994 https://doi.org/10.2514/3.21335
  9. T. L. Link, J.-S. Lew and L. H. Keel, 'Interval model identification and robustness analysis for uncertain flexible structures', IEEE Trans. on Control System Technology, vol. 4, pp.411-418, 1996 https://doi.org/10.1109/87.508889
  10. S. S. Ahmad, J.-S. Lew, and L. H. Keel, 'Robust control of flexible structures against structural damage,' IEEE Trans. on Control System Technology, vol. 8, no. 1, pp.170-182, 2000 https://doi.org/10.1109/87.817702
  11. R. Johansson, System Modeling and Identification, Prentic Hall, 1993
  12. L. Ljung, System Identification Theory for User, Prentice Hall, 1999