Abstract
This article investigates the robust stability of uncertain continuous-time linear systems with parameters belonging to intervals. Differently from the techniques available in the literature, the proposed method, formulated in terms of an iterative algorithm based on LMIs, treats the interval bounds as optimization variables and can be used, for instance, to search for the maximum variation around nominal values. Experiments involving the fragility analysis of controllers and volume maximization of the polyhedral region centered on nominal parameters are presented to illustrate possible applications of the proposed technique.
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