Robust stabilization for non-linear discrete-time systems
- 10 March 2004
- journal article
- research article
- Published by Informa UK Limited in International Journal of Control
- Vol. 77 (4), 384-388
- https://doi.org/10.1080/00207170410001663543
Abstract
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.Keywords
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