State-Space Modeling using Operating Regime Decomposition and Local Models

作者: T.A. Johansen , B.A. Foss

DOI: 10.1016/S1474-6670(17)48422-9

关键词:

摘要: Abstract Building non-linear state-space models of complex processes using first principles is a resource demanding task. Here decomposition the problem by constructing simple local that are valid only within certain operating regimes proposed. A smaller number interacting physical phenomena dominant each regime. Hence, tend to have considerable less complexity than global models. Using estimates validity models, given current point, it shown how may be interpolated model. The resulting model should not considered as model, since into and interpolation inherently empirical. Neither looked upon an empirical amounts process knowledge used both for regime choice We believe present approach contributes modeling in cases with limited step towards framework integrating modeling.

参考文章(10)
I.J. Poli, K.R. Bisset, M.K. O'Rourke, G.M. Bruce, L.A. Lee, R.D. Jones, C.W. Barnes, S. Qian, L.E. Thode, G.W. Flake, Y.C. Lee, W.C. Mead, K. Lee, Nonlinear adaptive networks: A little theory, a few applications ,(1990)
Tor A. Johansen, Bjarne A. Foss, A NARMAX model representation for adaptive control based on local models Modeling Identification and Control. ,vol. 13, pp. 25- 39 ,(1992) , 10.4173/MIC.1992.1.3
S. A. BILLINGS, W. S. F. VOON, Piecewise linear identification of non-linear systems International Journal of Control. ,vol. 46, pp. 215- 235 ,(1987) , 10.1080/00207178708933894
M Sugeno, G.T Kang, Structure identification of fuzzy model Fuzzy Sets and Systems. ,vol. 28, pp. 15- 33 ,(1988) , 10.1016/0165-0114(88)90113-3
Tomohiro Takagi, Michio Sugeno, Fuzzy identification of systems and its applications to modeling and control systems man and cybernetics. ,vol. 15, pp. 116- 132 ,(1985) , 10.1109/TSMC.1985.6313399
Tarun K. Ghose, Purnendu Ghosh, Kinetic analysis of gluconic acid production by Pseudomonas ovalis Journal of Applied Chemistry and Biotechnology. ,vol. 26, pp. 768- 777 ,(2007) , 10.1002/JCTB.50202601104
ANDERS SKEPPSTEDT, LENNART LJUNG, MILLE MILLNERT, Construction of Composite Models from Observed Data International Journal of Control. ,vol. 55, pp. 141- 152 ,(1992) , 10.1080/00207179208934230
R. Haber, I. Vajk, L. Keviczky, Nonlinear System Identification by "Linear" Systems Having Signal-Dependent Parameters IFAC Proceedings Volumes. ,vol. 15, pp. 499- 504 ,(1982) , 10.1016/S1474-6670(17)63038-6
J. van Amerongen, P. Lohnberg, H.J.A.F. Tulleken, R.A. Hilhorst, Supervisory control of mode-switch processes Automatica. pp. 1319- 1331 ,(1992)
Johansen, Foss, Representing and learning unmodeled dynamics with neural network memories american control conference. ,vol. 29, pp. 3037- 3043 ,(1992) , 10.1109/ACC.1992.4175701