Admissibility and controller design for rectangular descriptor time-delay systems☆

被引：0
|
作者：
Geng, Wen-Tao [1 ]
Lin, Chong [1 ]
Wang, Qing-Guo [2 ]
机构：
[1] Qingdao Univ, Inst Complex Sci, Coll Automat, Shandong Key Lab Ind Control Technol, Qingdao 26607, Peoples R China
[2] Beijing Normal Univ, Inst AI & Future Networks, Zhuhai 59087, Peoples R China
来源：
AUTOMATICA | 2025年 / 173卷
基金：
中国国家自然科学基金;
关键词：
Admissible; Rectangular descriptor time-delay systems; State-equivalent form; State feedback control; CONTROLLABILITY; OBSERVABILITY;
D O I：
10.1016/j.automatica.2024.112082
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 studies the analysis and stabilizing control problems of rectangular descriptor time-delay systems (RDTDSs), with system matrix pair (E,A) E R-m"n . Firstly, the results for the uniqueness, impulse-freeness, and stability of the solution of rectangular descriptor systems (RDSs) are given in the case of m < n . Secondly, the delay-dependent and delay-independent results based on linear matrix inequalities (LMIs) for RDTDSs are proposed. Subsequently, for RDTDSs with m >= n , the sufficient condition for impulse-freeness is presented. Additionally, admissibility results for RDTDSs with m > n analogous to the case of m < n are provided. Furthermore, a state feedback controller design method is presented, which ensures the admissibility of the closed-loop system when m >= n . Finally, three examples are provided to demonstrate the validity of the obtained results. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] New results on admissibility and dissipativity analysis of descriptor time-delay systems
    Fu, Xiuwen
    Sheng, Zhaoliang
    Lin, Chong
    Chen, Bing
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 419
  • [2] A Robust Controller Design Approach for Descriptor-type Systems with Distributed Time-delay
    Iftar, Altug
    2021 EUROPEAN CONTROL CONFERENCE (ECC), 2021, : 429 - 433
  • [3] Admissibility Analysis and Controller Design for Discrete Singular Time-Delay Systems Embracing Uncertainties in the Difference and Systems' Matrices
    Huang, Chih-Peng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [4] Delay-Dependent Robust Admissibility for General Uncertain Time-Delay Descriptor Systems with Delay Varying in a Range
    Li Lee
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 1004 - 1010
  • [5] Robust controller and observer design for time-delay systems
    Li, XQ
    DeCarlo, RA
    PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 2210 - 2215
  • [6] Pulse controller design for linear time-delay systems
    Fattouh, A
    Sename, O
    Dion, JM
    SYSTEM STRUCTURE AND CONTROL 2001, VOLS 1 AND 2, 2001, : 437 - 442
  • [7] An Improved Controller Design for Fuzzy Systems with Time-delay
    He Shuaitian
    Li Yongfa
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 947 - +
  • [8] Simultaneous Decentralized Controller Design for Time-Delay Systems
    Ozer, S. Mert
    Iftar, Altug
    IFAC PAPERSONLINE, 2017, 50 (01): : 6495 - 6500
  • [9] Stable H∞ controller design for time-delay systems
    Gumussoy, S.
    Oezbay, H.
    INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (04) : 546 - 556
  • [10] LMI-Based Controller Design for Time-Delay Nonlinear Descriptor Systems with Guaranteed Exponential Estimates
    Arceo, Juan Carlos
    Villafuerte, Raul
    Estrada-Manzo, Victor
    Bernal, Miguel
    IFAC PAPERSONLINE, 2018, 51 (13): : 585 - 590
12345