New LMI approach to H ∞ control of discrete-time singular systems

被引：1
|
作者：
Chang, Xiao-Heng [1 ]
Wang, Xiao-Yan [2 ]
Hou, Li -Wei [1 ]
机构：
[1] Bohai Univ, Coll Control Sci & Engn, Jinzhou 121013, Liaoning, Peoples R China
[2] Bohai Univ, Coll Math Sci, Jinzhou 121013, Liaoning, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 474卷
关键词：
Discrete-time singular system; State feedback; Output feedback; H infinity control; Linear matrix inequality; BOUNDED REAL LEMMA; FEEDBACK; DESIGN;
D O I：
10.1016/j.amc.2024.128703
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article studies the problem of feedback 7i infinity control for discrete -time singular system. The objective is to design the controller to make the closed -loop system admissible and satisfy the specified 7i infinity performance. Firstly, the admissibility of the closed -loop system is analyzed via the Lyapunov function and linear matrix inequality (LMI) method, the admissibility condition of the singular system with 7i infinity performance is given. Then, applying a useful matrix inequality lemma, the controller design condition for discrete -time singular system is shown by a LMI. Specially, the benefit of the proposed design result is their less conservatism, the validity of the viewpoint is proposed by numeric illustrations.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] An LMI approach towards H∞ control of discrete-time descriptor systems
    Rehm, A
    Allgöwer, F
    [J]. PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 614 - 619
  • [2] An LMI approach to robust stabilization for uncertain discrete-time singular systems
    Ma, SP
    Cheng, ZL
    [J]. PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 1090 - 1095
  • [3] An LMI approach for H∞ analysis and control of discrete-time piecewise affine systems
    Cuzzola, FA
    Morari, M
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2002, 75 (16-17) : 1293 - 1301
  • [4] A LMI approach to robust H∞ filtering for discrete-time systems
    Lin, YS
    Qian, JX
    Xue, AK
    Xu, SL
    [J]. CCA 2003: PROCEEDINGS OF 2003 IEEE CONFERENCE ON CONTROL APPLICATIONS, VOLS 1 AND 2, 2003, : 230 - 233
  • [5] H∞ Control for Discrete-Time Singular Delay Systems
    Sun, Xin
    Zhang, Qingling
    Yang, Chunyu
    Su, Zhan
    Shao, Yongyun
    [J]. 2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1075 - +
  • [6] Robust H state feedback control of discrete-time systems with state delay: an LMI approach
    Leite, V. J. S.
    Tarbouriech, S.
    Peres, P. L. D.
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2009, 26 (03) : 357 - 373
  • [7] On State Feedback H∞ Control for Discrete-Time Singular Systems
    Feng, Yu
    Yagoubi, Mohamed
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (10) : 2674 - 2679
  • [8] New Reduced-order H∞ Filter Design Method for Discrete-time Singular Systems with Lossy Measurements by Strict LMI Approach
    Kim, Jong-Hae
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (06) : 1095 - 1102
  • [9] New reduced-order H∞ filter design method for discrete-time singular systems with lossy measurements by strict LMI approach
    Jong-Hae Kim
    [J]. International Journal of Control, Automation and Systems, 2011, 9 : 1095 - 1102
  • [10] Insensitive H∞ filter design for discrete-time systems: an LMI optimization approach
    Yang, Guang-Hong
    Guo, Xiang-Gui
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 7157 - 7162
12345