Dynamic output-feedback control for continuous-time interval positive systems under L1 performance

被引：31

作者：

Chen, Xiaoming ^{[1
]}

Chen, Mou ^{[1
]}

Qi, Wenhai ^{[2
]}

Shen, Jun ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Jiangsu, Peoples R China

[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 289卷

关键词：

Interval uncertainties; Iterative algorithm; Linear Lyapunov functions; L-1-induced performance; Output-feedback; Positive systems; INFINITY MODEL-REDUCTION; H-INFINITY; STABILITY; DISCRETE; CONTROLLABILITY; SYNCHRONIZATION; NETWORK; DESIGN;

D O I：

10.1016/j.amc.2016.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the design of L-1-induced dynamic output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and L-1-induced performance of positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust dynamic output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions. One illustrative example is provided to show the effectiveness and applicability of the theoretical results. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：48 / 59

页数：12

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