DOI QR코드

DOI QR Code

Sequential Loop Closing Identification of Hammerstein Models for Multiple-Input Multiple-Output Processes

다변수 Hammerstein 공정의 순차 확인법

  • 박호철 (경북대학교 화학공학과) ;
  • 구도균 (현대 엔지니어링 공정안전부) ;
  • 이문용 (영남대학교 응용화학공학부) ;
  • 이지태 (경북대학교 화학공학과)
  • Published : 2004.12.01

Abstract

A lot of industrial chemical processes contain certain input nonlinearities even though they are controlled by several linear controllers. Here we investigate a sequential loop closing identification method for MIMO Hammerstein nonlinear processes with diagonal nonlinearities. The proposed method separates the identification of the nonlinear static function from that of the linear subsystem by using a relay feedback test and a triangular type signal test. From 2 n activations for n n MIMO nonlinear processes, we sequentially identify the whole range of the nonlinear static function as well as the transfer function matrix of the linear subsystem.

Keywords

References

  1. K. J. Astrom and T. Hagglund, 'Automatic tuning of simple regulators with specificatoins on phase and amplitude margins,' Automatica, vol. 20, no. 5, pp. 645-651, Sep., 1984 https://doi.org/10.1016/0005-1098(84)90014-1
  2. S. H. Shen, J. S. Wu and C. C. Yu, 'Use of relay feedback for system identification,' AIChE J., vol. 42, no. 4, pp. 1174-1180, April, 1996 https://doi.org/10.1002/aic.690420431
  3. S. H. Shen and C. C. Yu, 'Use of relay feedback test for automatic tuning of multivariable systems,' AIChE J., vol. 40, no. 4,pp.627-646, April, 1994 https://doi.org/10.1002/aic.690400408
  4. J. Y. Choi, J. Lee, J. H. Jung, M. Lee and C. Han, 'Sequential loop closing identification of multivariable process models,' Com. and Chem. Eng., vol. 24, no. 2-7, pp. 809-814, July, 2000 https://doi.org/10.1016/S0098-1354(00)80003-4
  5. D. G. Koo, H. C. Park, J. Y. Choi and J. Lee, 'Sequential loop closing identification of multivariable processes using the biased relay feedback method.' Chemical Engineering Communication, vol. 191, no. 5, pp. 611-624, May, 2004 https://doi.org/10.1080/00986440490424574
  6. R. Haber and H. Unbehauen, 'Structure identification of nonlinear dynamic systems - a survey on input/output approaches,' Automatica, vol. 26, no. 4, pp. 651-677, July, 1990 https://doi.org/10.1016/0005-1098(90)90044-I
  7. M. Pottmann, H. Unbehauen and D. E. Seborg, 'Application of a general multi-model approach for identification of highly nonlinear processes-a case study,' Int. J. Control, vol. 57, no. 1, pp. 97-120, Jan., 1993 https://doi.org/10.1080/00207179308934380
  8. H. P. Huang, M. W. Lee and C. Y. Tsai, 'Structure identification for nonlinear models,' PSE Asia 2000 Proceedings, pp. 748-753, 2000
  9. S. W. Sung, 'System identification method for hammerstein processes,' Ind. Eng. Chem. Res., vol. 41, no. 17, pp. 4295-4302, Aug., 2001 https://doi.org/10.1021/ie0109206S0888-5885(01)00920-4
  10. H. C. Park, D. G. Koo, J. H. Youn, J. Lee and S.W. Sung, 'Relay feedback approaches for the identification of hammerstein-type nonlinear processes,' Ind. Eng. Chem. Res., vol. 43, no. 3, pp. 735-740, Feb., 2004 https://doi.org/10.1021/ie030382s