“The Stability of 2x2 Multivariable Control Systems”

Authors: Jens G. Balchen,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1990, Vol 11, No 2, pp. 97-108.

Keywords: Stability, multivariable control system

Abstract: The paper develops simple but powerful expressions for the investigation of stability and response of 2x2 multivariable control systems. The analytical results can be given convenient graphical representations. This provides a helpful tool for obtaining deep insight into the behaviour of this type of system which is particularly important in process control. Two simple examples illustrate the application of the method.

PDF PDF (1055 Kb)        DOI: 10.4173/mic.1990.2.3

DOI forward links to this article:
[1] Sigurd Skogestad (1997), doi:10.4173/mic.1997.3.1
[2] Jens G. Balchen (1991), doi:10.4173/mic.1991.3.2
[3] S. Skogestad (1993), doi:10.1016/B978-0-08-041711-0.50007-6
[4] S. Skogestad (1992), doi:10.1016/S1474-6670(17)50966-0
References:
[1] BALCHEN, J.G. (1958). Lecture Notes in Control Engineering, Norwegian Institute of Technology, Trondheim, in Norwegian.
[2] BALCHEN, J.G. (1963). Control Engineering, 1, Ch. 10.Tapir Book Company, Trondheim Norwegian.
[3] BALCHEN, J.G., MUMMÉ, K.I. (1988). Process Control, Structures and Applications, Van Nostrand Reinhold Company, New York.
[4] BRISTOL, E.H. (1966). On a new measure of interaction of multivariable process control, IEEE Trans. Automatic Control, 11, 133-134 doi:10.1109/TAC.1966.1098266
[5] McAVOY, T.J. (1983). Interaction Analysis, Instrument Society of America, Research Triangle Park, N.C.
[6] RIJNSDORP, J.E. (1965). Interaction in two-variable control systems for distillation columns, I and II, Automatica, 1, 15-52 doi:10.1016/0005-1098(65)90018-X
[7] TOIJALA, K., FAGERVIK, K. (1972). A Digital Simulation Study of two Point Feedback Control of Distillation columns, Kemian Tollisuus.Finland, no. 1,5-16.


BibTeX:
@article{MIC-1990-2-3,
  title={{The Stability of 2x2 Multivariable Control Systems}},
  author={Balchen, Jens G.},
  journal={Modeling, Identification and Control},
  volume={11},
  number={2},
  pages={97--108},
  year={1990},
  doi={10.4173/mic.1990.2.3},
  publisher={Norwegian Society of Automatic Control}
};