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State-Space Model Identification of Tandem Cold Mill Based on Subspace Method

부분공간법을 이용한 연속 냉간압연기의 상태공간모델 규명

  • Published : 2000.02.01

Abstract

In this paper, we study on the identification of discrete-time state-space model for robust control of tandem cold mill, using a MOESP(MIMO output-error state-space model identification) algorithm based on subspace method. It is shown that the identified model is well adapted to input-output data sets, which are obtained from nonlinear mathematical equations of tandem cold mill. Furthermore, deterministic H$\infty$ norm bounds on uncertainties including modeling errors and disturbances are quantitatively identified in the frequency domain. Finally, the results give a basic idea to determine weighting functions included in formulating some robust control problems of tandem cold mill.

Keywords

System Identification;MOESP Algorithm;Tandem Cold Mill;Robust Control;Uncertainty

References

  1. Doyle, J. C., Francis, B. A. and Tannenbaum, A. R., 1992, Feedback Control Theory, Macmillan
  2. Torsten Soderstorom and Petre Stoica, 1989, System Identification, Prentice-Hall
  3. 片山 徹, 1994, Instroduction to System Identification, 朝倉書店
  4. Goldberg, J. L., 1991, Matrix Theory with Applications, MeGraw-Hill
  5. Bland, D. R. and Ford, H., 1948, 'The Calculation of Roll Force Torque in Cold Strip Rolling with Tensions,' Proceedings of the Institution of Mechanical Engineers, Vol. 159, pp. 144-163
  6. Nagamunne, R., Yammaoto, S. and Kimura, H., 1997, 'Identification of the Smallest Unfalsified Model Set with both Parametric and Unstructured Uncertainty,' Proceedings of SYSID'97
  7. Verhaegen, M. and Dewilde, P., 1992, 'Subspace Model Identification Part 1. The Output-Errors State-Space Model Identification Class of Algorithm,' International Journal of Control, Vol. 56, No. 5, pp. 1187-1210 https://doi.org/10.1080/00207179208934363
  8. Hill, R., 1950, 'Relations Between Roll Force, Torque and the Applied Tensions in Strip Rolling,' Proceedings of the Institution of Mechanical Engineers, Vol. 163, pp. 135-140
  9. 多美 勉, 1994, $H^{\infty}$ 制御, 昭晃堂
  10. Smith, R. S., 1995, 'Model Validation for Robust Control: an Experimental Process Control Application,' Automatica, Vol. 31, No. 11, pp. 1637-1647 https://doi.org/10.1016/0005-1098(95)00093-C