Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Robust Control: The Parametric Approach
Robust Control: The Parametric Approach
IEEE Transactions on Fuzzy Systems
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In this paper the problem of computing stability margin of uncertain continuous-time linear time invariant systems with coefficients described by fuzzy numbers is solved. All the coefficients are considered as variable intervals parametrized by the degree of confidence in the corresponding model. The lower the confidence level is the larger interval the coefficient can vary in. In the paper the common confidence level for all the coefficient is considered. Two cases are considered: linear and polynomic dependency of coefficients of characteristic polynomial on system parameters. The results are derived based on parameterization of lower and upper bounds of the intervals and using the Kharitonov's and the Hurwitz criterion.