Abstract
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.
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Hušek, P., Pytelková, R. (2003). System Modelling Using Fuzzy Numbers. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_59
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DOI: https://doi.org/10.1007/3-540-44967-1_59
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