LMI approach to robust stability and stabilization of nonlinear uncertain discrete-time systems with convex polytopic uncertainties

Advances in Difference Equations

M Rajchakit¹  G Rajchakit¹ 

[1] Major of Mathematics and Statistics, Faculty of Science, Maejo University, Chiangmai, Thailand

关键词: robust stability and stabilization;    nonlinear uncertain discrete-time systems;    convex polytopic uncertainties;    Lyapunov-Krasovskii functional;    linear matrix inequality;   

DOI  :  10.1186/1687-1847-2012-106

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article addresses the robust stability for a class of nonlinear uncertain discrete-time systems with convex polytopic of uncertainties. The system to be considered is subject to both interval time-varying delays and convex polytopic-type uncertainties. Based on the augmented parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent conditions for the robust stability are established in terms of linear matrix inequalities. An application to robust stabilization of nonlinear uncertain discrete-time control systems is given. Numerical examples are included to illustrate the effectiveness of our results. MSC:15A09, 52A10, 74M05, 93D05.

【 授权许可】

CC BY