Robust Stabilization for Uncertain Saturated Time-Delay Systems: A Distributed-Delay-Dependent Polytopic Approach

被引：102
作者：
Chen, Yonggang [1 ,2 ]
Fei, Shumin [3 ]
Li, Yongmin [4 ]
机构：
[1] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Peoples R China
[2] Henan Polytech Univ, Lab Control Engn Henan Prov, Jiaozuo 454000, Peoples R China
[3] Southeast Univ, Minist Educ, Sch Automat, Key Lab Measurement & Control CSE, Nanjing 210096, Jiangsu, Peoples R China
[4] Huzhou Teachers Coll, Sch Sci, Huzhou 313000, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 07期
关键词：
Distributed-delay-dependent; polytopic approach; robust stabilization; time delays; uncertain saturated systems; H-INFINITY CONTROL; SWITCHED LINEAR-SYSTEMS; NEUTRAL SYSTEMS; STABILITY; DESIGN;
D O I：
10.1109/TAC.2016.2611559
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note investigates the robust stabilization problem for uncertain linear systems with discrete and distributed delays under saturated state feedback. Different from the existing approaches, a distributed-delay-dependent polytopic approach is proposed in this technical note, and the saturation nonlinearity is represented as the convex combination of state feedback and auxiliary distributed-delay feedback. Then, by incorporating an appropriate augmented Lyapunov-Krasovskii (L-K) functional and some integral inequalities, the less conservative stabilization and robust stabilization conditions are proposed in terms of linear matrix inequalities (LMIs). The effectiveness and reduced conservatism of the proposed conditions are illustrated by numerical examples.
引用
收藏
页码：3455 / 3460
页数：6
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