Parametric Uncertainty of Linear Discrete-Time Systems Described by Fuzzy Numbers

Authors:
Petr Hušek
Affiliations:
Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech Republic 166 27
Venue:
KES '09 Proceedings of the 13th International Conference on Knowledge-Based and Intelligent Information and Engineering Systems: Part I
Year:
2009

Citing 7
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Abstract

The paper deals with the problem of determination of stability margin of uncertain linear discrete-time systems with uncertainty described by fuzzy numbers. Nonsymmetric triangular membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. The presented solution is based on transformation of the original problem to Hurwitz stability test and generalization of Tsypkin-Polyak plot.