Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances

被引：1
|
作者：
Wang, Chengdan [1 ]
Yang, Hongli [1 ]
Ivanov, Ivan Ganchev [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Sofia Univ St Kl Ohridski, Fac Econ & Business Adm, 125 Tzarigradsko Chaussee Blvd,Bl 3, Sofia 1113, Bulgaria
来源：
MATHEMATICS | 2023年 / 11卷 / 15期
基金：
中国国家自然科学基金;
关键词：
robustly controlled invariant set; linear discrete-time systems; logarithmic norm; difference inequality; ROBUST-CONTROL INVARIANCE; NORM;
D O I：
10.3390/math11153421
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances. In the proposed methods, the robustly controlled invariant set of discrete-time systems is obtained by solving the linear matrix inequality given by logarithmic norm and difference inequality. Illustrative examples are presented to demonstrate the obtained methods.
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页数：16
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