Robust Invariance Conditions of Uncertain Linear Discrete Time Systems Based on Semidefinite Programming Duality

被引:0
|
作者
Yang, Hongli [1 ]
Wang, Chengdan [2 ]
Bi, Xiao [3 ]
Ivanov, Ivan Ganchev [4 ]
机构
[1] Qingdao Huanghai Univ, Coll Big Data, Linghai Rd 1145, Qingdao 266427, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qianwangang Rd 579, Qingdao 266590, Peoples R China
[3] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[4] Sofia Univ St Kl Ohridski, Fac Econ & Business Adm, Sofia 1000, Bulgaria
关键词
robust invariant set; uncertain discrete-time systems; duality; semidefinite programming; SETS; COMPUTATION; SUBJECT; DESIGN;
D O I
10.3390/math12162512
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article proposes a novel robust invariance condition for uncertain linear discrete-time systems with state and control constraints, utilizing a method of semidefinite programming duality. The approach involves approximating the robust invariant set for these systems by tackling the dual problem associated with semidefinite programming. Central to this method is the formulation of a dual programming through the application of adjoint mapping. From the standpoint of semidefinite programming dual optimization, the paper presents a novel linear matrix inequality (LMI) conditions pertinent to robust positive invariance. Illustrative examples are incorporated to elucidate the findings.
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页数:14
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