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.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances
    Kuntsevich, A. V.
    Kuntsevich, V. M.
    [J]. AUTOMATION AND REMOTE CONTROL, 2012, 73 (01) : 83 - 96
  • [2] Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances
    A. V. Kuntsevich
    V. M. Kuntsevich
    [J]. Automation and Remote Control, 2012, 73 : 83 - 96
  • [3] Localization of compact invariant sets of discrete-time systems with disturbances
    A. N. Kanatnikov
    S. K. Korovin
    A. P. Krishchenko
    [J]. Doklady Mathematics, 2011, 83 : 433 - 435
  • [4] Localization of Compact Invariant Sets of Discrete-Time Systems with Disturbances
    Kanatnikov, A. N.
    Korovin, S. K.
    Krishchenko, A. P.
    [J]. DOKLADY MATHEMATICS, 2011, 83 (03) : 433 - 435
  • [5] On the Convergence of the Backward Reachable Sets of Robust Controlled Invariant Sets For Discrete-time Linear Systems
    Liu, Zexiang
    Ozay, Necmiye
    [J]. 2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), 2022, : 4270 - 4275
  • [6] (A, B)-invariant polyhedral sets of linear discrete-time systems
    Dórea, CET
    Hennet, JC
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 103 (03) : 521 - 542
  • [7] Scalable Computation of Controlled Invariant Sets for Discrete-Time Linear Systems with Input Delays
    Liu, Zexiang
    Yang, Liren
    Ozay, Necmiye
    [J]. 2020 AMERICAN CONTROL CONFERENCE (ACC), 2020, : 4722 - 4728
  • [8] (A, B)-Invariant Polyhedral Sets of Linear Discrete-Time Systems
    C. E. T. Dórea
    J. C. Hennet
    [J]. Journal of Optimization Theory and Applications, 1999, 103 : 521 - 542
  • [9] Control Invariant Sets of Linear Systems with Bounded Disturbances
    Yu, Shuyou
    Zhou, Yu
    Qu, Ting
    Xu, Fang
    Ma, Yan
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (02) : 622 - 629
  • [10] Control Invariant Sets of Linear Systems with Bounded Disturbances
    Shuyou Yu
    Yu Zhou
    Ting Qu
    Fang Xu
    Yan Ma
    [J]. International Journal of Control, Automation and Systems, 2018, 16 : 622 - 629
12345