Stability and constrained control for positive two-dimensional systems with delays in the second FM model

被引:6
作者
Shen, Jian [1 ]
Wang, Weiqun [1 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Sci, Math, Nanjing 210094, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
two-dimensional systems; positive systems; FM model; stability; constrained control; STATE-SPACE MODEL; 2D LINEAR-SYSTEMS; ASYMPTOTIC STABILITY; DYNAMICAL-SYSTEMS; FEEDBACK-CONTROL; STABILIZATION;
D O I
10.1093/imamci/dnx054
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 addresses the stability and control problem of linear positive two-dimensional discrete-time systems with multiple delays in the second Fornasini-Marchesini model. The contribution lies in three aspects. First, a novel proof is provided to establish necessary and sufficient conditions of asymptotic stability for positive two-dimensional delayed systems. Then, a state-feedback controller is designed to ensure the non-negativity and stability of the closed-loop systems. Finally, a sufficient condition for the existence of constrained controllers is developed under the additional constraint of bounded control, which means that the control inputs and the states of the closed-loop systems are bounded. Two examples are given to validate the proposed methods.
引用
收藏
页码:515 / 536
页数:22
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