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Stability Analysis of Uncertainty Linear Systems Described by Fuzzy Characteristic Equations
Author(s) -
Hallaji Majid,
Zare Assef,
Kamyad Ali Vahidian
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.502
Subject(s) - kharitonov's theorem , mathematics , stability (learning theory) , fuzzy logic , fuzzy control system , control theory (sociology) , stability theorem , regular polygon , type (biology) , fuzzy number , differential equation , mathematical optimization , fuzzy set , computer science , mathematical analysis , control (management) , artificial intelligence , polynomial , geometry , machine learning , ecology , matrix polynomial , square free polynomial , cauchy distribution , biology
This paper uses Kharitonov's theorem to present a new idea for assessment of the stability of linear systems that are described by fuzzy differential equations, while system uncertainty is expressed as fuzzy convex sets for coefficients of the characteristic equation. The paper then deals with determination of stability margins and the design of classical robust controllers of fuzzy type for those systems. In each part, illustrative examples and simulation results are provided.