Stability Margin for Linear Systems with Fuzzy Parametric Uncertainty

Authors:
Petr Hušek
Affiliations:
Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech Republic 166 27
Venue:
PRICAI '08 Proceedings of the 10th Pacific Rim International Conference on Artificial Intelligence: Trends in Artificial Intelligence
Year:
2008

Citing 7
Cited 0

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Robust Control: The Parametric Approach

Robust Control: The Parametric Approach
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Analysis of linear systems with fuzzy parametric uncertainty

Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
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Brief Robustness analysis tools for an uncertainty set obtained by prediction error identification

Automatica (Journal of IFAC)

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Abstract

The paper deals with the problem of determining stability margin of a linear continuous-time system with fuzzy parametric uncertainty. Non-symmetric multivariate ellipsoidal membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. An elegant solution, graphical in nature, based on generalization of Tsypkin-Polyak plot is presented.