“Multivariable robust adaptive controller using reduced-order model”

Authors: Magne Hillestad, C. Sørlie, T.F. Anderson, I. Olsen and Terje Hertzberg,
Affiliation: Statoil, NTNU and University of Connecticut
Reference: 1990, Vol 11, No 2, pp. 73-88.

Keywords: Local models, adaptive error estimation, dynamic simulation, batch distillation

Abstract: A general method is developed for predicting the deviation between local and rigorous thermodynamic property models. The method is based on a quadratic error structure. The curvature matrix is updated after each parameter revision. The updating scheme utilizes the observed deviation as a measure for correcting the matrix and thus does not require any additional rigorous model evaluations. A recursive least squares procedure with variable forgetting is adopted for the parameter updating. A local model structure for K-value evaluations is applied in a dynamic simulation model of a batch distillation column. The efficiency and accuracy of the proposed method are tested for two different mixtures; a nearly ideal and a strongly non-ideal mixture.

PDF PDF (1576 Kb)        DOI: 10.4173/mic.1990.2.1

DOI forward links to this article:
[1] J. Perregaard and E.L. Sørensen (1992), doi:10.1016/S0098-1354(09)80029-X
[2] J. Perregaard (1993), doi:10.1016/0098-1354(93)80037-N
References:
[1] CHIMOWITZ, E.H., ANDERSON, T.F., MACCHIETTO, S., STUTZMAN, L.F. (1983). Local models for representing phase equilibriums in multicomponent, nonideal vapor-liquid and liquid-liquid systems - 1: Thermodynamic approximation functions, Ind Eng Chem Process Des Dev 22. 217-225 doi:10.1021/i200021a009
[2] CHIMOWITZ, E.H., MACCHIETTO, S., ANDERSON, T.F., STUTZMAN, L.F. (1984). Local models for representing phase equilibria in multicomponent, non-ideal vapor-liquid and liquid-liquid systems - 2: Application to process design, Ind Eng Chem Process Des Dev 23. 607-618 doi:10.1021/i200026a034
[3] CLARK, S.M., REKLAITIS, G.V. (1986). World Congress III of Chemical Engineering, Tokyo, .
[4] FORTESCUE, T.R., KERSHENBAUM, L.S., YDSTIE, B.E. (1981). Implementation of self-tuning regulators with variable forgetting factors, Automatica, 17, 831-835 doi:10.1016/0005-1098(81)90070-4
[5] GRENS, E.A. (1983). 2nd Int Conf on FOCAPD, Snowmass CO., June 1983, 249-302.
[6] JOHNS, W.R. (1985). Proc of the PSE´85 Conf, Cambridge, U.K., 31 March-4 April 1985, 37-54.
[7] MACCHIETTO, S., CHIMOWITZ, E.H., ANDERSON, T.F., STUTZMAN, L.F. (1986). Local models for representing phase equilibria in multicomponent nonideal vapor-liquid and liquid-liquid systems - 3: Parameter estimation and update, Ind Eng Chem Process Des Dev 25. 674-682 doi:10.1021/i200034a013
[8] SAELID, S., EGELAND, O., FOSS, B. (1985). A solution to the blow-up problem in adaptive controllers, Modeling, Identification and Control, 6, 39-56 doi:10.4173/mic.1985.1.3


BibTeX:
@article{MIC-1990-2-1,
  title={{Multivariable robust adaptive controller using reduced-order model}},
  author={Hillestad, Magne and Sørlie, C. and Anderson, T.F. and Olsen, I. and Hertzberg, Terje},
  journal={Modeling, Identification and Control},
  volume={11},
  number={2},
  pages={73--88},
  year={1990},
  doi={10.4173/mic.1990.2.1},
  publisher={Norwegian Society of Automatic Control}
};