Controller synthesis for constrained discrete-time switched positive linear systems

被引：18
|
作者：
Liu, Jinjin [1 ]
Zhang, Kanjian [1 ]
Pang, Guochen [1 ]
Wei, Haikun [1 ]
机构：
[1] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2016年 / 19卷
基金：
中国国家自然科学基金;
关键词：
Switched positive linear systems; Stabilization; Bounded controls; Linear programming; OUTPUT-FEEDBACK CONTROL; ASYMPTOTIC STABILITY; STABILIZATION; STABILIZABILITY;
D O I：
10.1016/j.nahs.2015.07.001
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 paper investigates the controller synthesis for a class of discrete-time switched linear systems with bounds on the controls and the states. First, the synthesis of state feedback controllers guaranteeing positivity and stability of the closed-loop system is studied for sign-restricted inputs. Also, the results can be extended to asymmetrically bounded controls and constrained states. All the derived conditions are shown as linear programming framework. In addition, a cost function is proposed to maximize the length of the box constraints on the initial state. Finally, several numerical examples illustrate the validity of the developed results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 12
页数：12
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