Abstract:This article addresses the problem of static output‐feedback control design for uncertain discrete‐time Lur'e systems with sector and slope bounded nonlinearities. By manipulating stability analysis conditions from the literature based on integral‐quadratic‐constraint theory and multipliers, and applying Finsler's lemma, new synthesis conditions are provided in terms of sufficient linear matrix inequalities. After applying a relaxation in the stability conditions, an iterative algorithm is proposed to search f… Show more
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