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“Nonlinear Decoupling in Process Control”

Authors: Jens G. Balchen,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1991, Vol 12, No 2, pp. 81-94.

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Keywords: Nonlinearity, decoupling, inverse dynamics, process control

Abstract: The principle of nonlinear decoupling as a general approach to the control of nonlinear processes is reviewed. A novel technique is introduced for resolving the inverse problem in case the nonlinear process function does not have a closed-form inverse. The paper also indicates the relationships between nonlinear decoupling, ´cascade control´ and ´sliding mode control´.

PDF PDF (1373 Kb)        DOI: 10.4173/mic.1991.2.3



DOI forward links to this article:
  [1] Jens G. Balchen and Bjarne Sandrib (1995), doi:10.4173/mic.1995.1.3
  [2] Jens G. Balchen and Bjarne Sandrib (1995), doi:10.1016/0959-1524(95)00016-J
  [3] Jens G. Balchen (1993), doi:10.4173/mic.1993.4.3
  [4] Jens G. Balchen and Bjarne Sandrib (1994), doi:10.1016/B978-0-08-042229-9.50081-1
  [5] Jens G. Balchen and Bjarne Sandrib (1994), doi:10.1016/S1474-6670(17)48198-5


References:
[1] BALCHEN, J.G. (1963). Control Engineering, Vol. 1. (pp. 203), (Tapir Book Company, Trondheim), (in Nowegian).
[2] BALCHEN, J.G., LIE, B., SOLBERG, L (1987). Internal Decoupling in Nonlinear Process Control, Proc. IFAC 10th World Congress, Munich, 1987, edited by R. Isermann, Vol. 3, pp. 134-139,.Pergamon Press also published in Modeling, Identification and Control, 1988, 9, pp. 137-148.
[3] BEJCZY, A. K. (1974). Robot Arm Dynamics and Control, JPL Technical Memo, 33-369.
[4] FREUND, E. (1975). The structure of Decoupled Nonlinear Systems, Int. J. Contr., 21, 651-654.
[5] ISIDORI, A., KRENER, A.J., GORI GIORGI, C. MONACO, S. (1981). Nonlinear Decoupling via Feedback: A Differential Geometric Approach, IEEE Trans. Automat. Control, 26, 331-345 doi:10.1109/TAC.1981.1102604
[6] KRAVARIS, C. SOROUSH, M. (1988). Multivariable Nonlinear Control by Global Input/Output Linearization, Paper No. 129a, American Institute of Chemical Engineers, 1988 Annual Meeting, Washington DC.
[7] LIE, B. BALCHEN, J.G. (1988). Nonlinear Decoupling Applied to a Polypropene Reactor, Paper no. 129-E, American Institute of Chemical Engineers, 1988, Annual Meeting, Washington DC.
[8] LIE, B. BALCHEN, J.G. (1990). Robustness of Nonlinear Decoupling in a Polypropene Reactor, In: Rijnsdorp, J.E. et al. (editors): Proceedings DYCORD +´89, Maastricht, The Netherlands, August 21-23, 1989 (Pergamon Press, Oxford).
[9] LIE, B. (1990). Control Structures for Polymerization Processes Applied to Polypropene Manufacturing, Dr.ing. thesis, Division of Engineering Cybernetics, The Norwegian Institute of Technology, Trondheim, Norway.
[10] LUH, J.Y.S., WALKER, M.W. PAUL R.C. (1980). Resolved Acceleration Control of Mechanical Manipulators, IEEE Trans. on Automat. Control, 25, 468-474 doi:10.1109/TAC.1980.1102367
[11] SASTRY, S.S. ISIDORI, A. (1989). Adaptive Control of Linearizable Systems, IEEE Trans. on Automat. Control, 34, 1123-1131 doi:10.1109/9.40741
[12] SLOTINE,J.J.E. LI, W (1991). Applied Nonlinear Control, Prentice-Hall international Inc.
[13] UTKIN, V.I. (1977). Variable structure systems with sliding modes: A survey, IEEE Trans. Automat. Control, 22, pp. 212-222 doi:10.1109/TAC.1977.1101446


BibTeX:
@article{MIC-1991-2-3,
  title={{Nonlinear Decoupling in Process Control}},
  author={Balchen, Jens G.},
  journal={Modeling, Identification and Control},
  volume={12},
  number={2},
  pages={81--94},
  year={1991},
  doi={10.4173/mic.1991.2.3},
  publisher={Norwegian Society of Automatic Control}
};

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