Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 77, Issue 4, Pages 384-388Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207170410001663543
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This paper deals with the problem of robust stabilization for linear discrete-time systems under non-linear perturbations. Without limitation to single-input systems and restriction on the structures of both the positive definite matrix and the corresponding variable, a new sufficient condition is presented which guarantees the stability of the closed-loop system and at the same time maximizes the bound on the non-linearity. In addition, our main result is extended to discrete time-delay systems. All the conditions are given within the framework of linear matrix inequalities. The effectiveness of the methods is illustrated with three examples.
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