Re: System Stability

Calcev George (Calcev@auto.ucl.ac.be)
Thu, 9 May 1996 13:17:59 +0200


I agree with the opinion of Dr. Contantin von Altrock concerning
stability of fuzzy control systems.
Nevertheless, I would like to add that this problem (very often controversial
one) seems to be not very hard. In most of the applications of fuzzy
control systems, the stability can be obtained as a simple application of
Passivity Theorem, ( not only for simple fuzzy controllers).
For a general fuzzy controller which provides some rough sectorial properties it is quite easy to prove the asymptotic stability ( even if it is nondifferentiable, non-linear, bounded , ....) and also some robustness properties.

George Calcev

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George Calcev Email calcev@auto.ucl.ac.be
Universite Catholique de Louvain Phone +32-10-478039
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