“The Stability of mxm Multivariable Process Control Systems”
Authors: Jens G. Balchen,Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1991, Vol 12, No 3, pp. 117-127.
Keywords: Stability, multivariable control systems
Abstract: A technique is described for the investigation of conditions of stability of a mxm multivariable process controlled by m independent controllers in terms of the parameters of the m uncoupled control systems and the transfer functions of the cross-coupling elements. The method is an extension of a similar result for 2 x 2 systems (Balchen 1990). The analytical results are given convenient graphical representations by means of standard frequency response techniques yielding a simple, but powerful tool for synthesis of multiple controllers for multivariable processes.
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DOI: 10.4173/mic.1991.3.2References:
[1] BALCHEN, J.G. (1990). The stability of 2 x 2 multivariable control systems, Modeling, Identification and Control, 11, 97 doi:10.4173/mic.1990.2.3
[2] BALCHEN, J.G. MUMMÉ, K.I. (1988). Process Control: Structures and Applications, Van Nostrand Reinhold Book Company: New York.
[3] DI RUSCIO, D. (1990). Private communication, .
[4] McAVOY, T.J. (1983). Interaction Analysis, Instrument Society of America: Research Triangle Park, N.C.
BibTeX:
@article{MIC-1991-3-2,
title={{The Stability of mxm Multivariable Process Control Systems}},
author={Balchen, Jens G.},
journal={Modeling, Identification and Control},
volume={12},
number={3},
pages={117--127},
year={1991},
doi={10.4173/mic.1991.3.2},
publisher={Norwegian Society of Automatic Control}
};