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Paulo J. de Oliveira
UNEB – Universidade do Estado da Bahia
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Ricardo C. L. F. Oliveira
Faculdade de Engenharia Elétrica e de Computação, Universidade Estadual de Campinas – UNICAMP, Av. Albert Einstein, 400, 13083-852, Campinas, SP
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Pedro L. D. Peres
Faculdade de Engenharia Elétrica e de Computação, Universidade Estadual de Campinas – UNICAMP, Av. Albert Einstein, 400, 13083-852, Campinas, SP
Keywords:
linear systems, discrete-time, uncertain parameters, stability margins, fragility of controllers, linear matrix inequality
Abstract
This article investigates the robust stability of discrete-time uncertain 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, handles the limits of the intervals as optimization variables and can be used, for example, to search for the maximum allowable variation around nominal values in order to preserve stability. Experiments involving controller fragility analysis and volume maximization of the polyhedral region centered on nominal parameters are presented to illustrate possible applications of the proposed technique.
