Rational Bezout equation and interconnection of linear systems
| Authors: | Hromcik Martin, Czech Technical University, Czech Republic
Lidinsky Jiri, Czech Technical University, Czech Republic
Sebek Michael, Inst. of Information Theory and Automation, Czech Republic |
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| Topic: | 2.1 Control Design |
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| Session: | Control Design I |
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| Keywords: | Bezout equation, polynomial design methods, controllability, observability, numerical algorithms |
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Abstract
The Bezout equation over the rings of proper stable rational functions and matrices is studied in this paper. First, a relationship between the rational Bezout equation and a combined serial/parallel interconnection of linear systems is established. The controllability and observability properties that this scheme has to fulfill in order the Bezout equation to be satisfied yield a numerical procedure for finding a particular solution of the concerned equation. This routine is usable for problems of small-to-medium size as demonstrated by numerical experiments.
