15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
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