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A Convex Approach for Reducing Conservativeness of Kharitonov’s-Based Robustness Analysis

2017; Elsevier BV; Volume: 50; Issue: 1 Linguagem: Inglês

10.1016/j.ifacol.2017.08.148

2405-8971

Marcelino Sánchez, Miguel Bernal,

Fault Detection and Control Systems

This note shows that conservativeness of former results on stability analysis of uncertain systems based on the Kharitonov's Theorem can be significantly reduced by means of convex structures which lead to linear matrix inequalities. The relationship between an interval-coefficient family of polynomials and interval matrices is exploited in order to obtain novel LMI tests whose advantages are twofold: feasibility domains (both in ordinary as well as D-stability) are increased while LMIs are efficiently solved via convex optimization techniques. Illustrative examples are provided.