HANKEL-NORM BASED INTERACTION MEASURE FOR INPUT-OUTPUT PAIRING
Björn Wittenmark* Mario E. Salgado**
* Department of Automatic Control Lund Institute of Technology Box 118, SE-221 00 Lund Sweden
** Departamento de Electrónica Universidad Técnica Federico Santa María, Casilla 110-V Valparaíso, Chile
In this paper a new interaction measure for stable multivariable systems is introduced. The interaction measure, the Hankel Interaction Index, is a dynamic extension of the underlying idea in the classic Relative Gain Array (RGA). The new index is based upon the Hankel norm of the SISO elementary subsystems built from the original MIMO system. The main advantage of the Hankel Interaction Index is its ability to quantify frequency dependent interactions and that it can be used for input-output pairing. Several examples are included to illustrate the new ideas presented.
Keywords: Interaction, Process control, Multivariable control, Sampled-data control, System design
Session slot T-We-M11: Process Modeling and Analysis Tools/Area code 7a : Chemical Process Control

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