Robust stabilization of discrete-time nonlinear Lur'e systems with sector and slope restricted nonlinearities

被引：32

作者：

Lee, S. M. ^{[2
]}

Park, Ju H. ^{[1
]}

机构：

[1] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

[2] KT Co Ltd, BcN Business Unit, Platform Verificat Div, Taejon, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 200卷 / 01期

关键词：

Lur'e systems; sector and slope bound; LMIs;

D O I：

10.1016/j.amc.2007.11.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a novel method for the robust control problem of uncertain nonlinear discrete-time linear systems with sector and slope restrictions. The nonlinear function considered in this paper is expressed as convex combinations of sector and slope bounds. Then the equality constraint is derived by using convex properties of the nonlinear function. A stabilization criterion for the existence of the state feedback controller is derived in terms of linear matrix inequalities (LMIs) by using Finsler's lemma. The proposed method is demonstrated by a system with saturation nonlinearity. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：429 / 436

页数：8

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