Dynamic output feedback H∞ control for 2D fuzzy systems

被引：10
|
作者：
Li, Lizhen [1 ]
Li, Xiaofeng [2 ]
Ye, Shuxia [3 ]
机构：
[1] Shanghai Univ Elect Power, Sch Math & Phys, Shanghai 200090, Peoples R China
[2] Huaiyin Inst Technol, Fac Math & Phys, Huaian, Peoples R China
[3] Jiangsu Univ Sci & Technol, Sch Elect & Informat, Zhenjiang, Jiangsu, Peoples R China
来源：
ISA TRANSACTIONS | 2019年 / 95卷
关键词：
Dynamic output feedback; 2D fuzzy systems; H-infinity control; Basis-dependent Lyapunov function; 2-D DISCRETE-SYSTEMS; STABILITY; DESIGN; STABILIZATION; MODEL;
D O I：
10.1016/j.isatra.2018.12.029
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the dynamic output feedback H-infinity control problem is considered for two-dimensional discrete fuzzy systems described by the second Fornasini-Marchesini state-space model. By introducing novel slacked matrices, sufficient criteria are established to guarantee an H-infinity noise attenuation of the resulting closed-loop system. Then the proposed output feedback H-infinity controller design method is applied to one-dimensional discrete-time fuzzy systems. It is worth mentioning that there is no rank constraints to system matrices. Moreover, the sufficient criteria are expressed as strict linear matrix inequalities, which can be effectively solved via MATLAB LMI toolbox. Finally, the effectiveness and advantage of the proposed approach are shown through two simulation examples. (C) 2018 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 10
页数：10
相关论文
共 50 条
  • [41] An improved approach to fuzzy dynamic output feedback H∞ control of continuous-time Takagi-Sugeno fuzzy systems
    Hu, Guolin
    Zhang, Jian
    Yan, Zhiguo
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (07) : 1529 - 1544
  • [42] Output feedback H∞ control for saturated 2-D systems under the dynamic event-triggered mechanism
    Yu H.
    Yang W.
    Hu J.
    Chen D.-Y.
    Kongzhi yu Juece/Control and Decision, 2024, 39 (06): : 1951 - 1958
  • [43] Output Feedback H∞ Control for 2-D State-Delayed Systems
    Peng, Dan
    Guan, Xinping
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (01) : 147 - 167
  • [44] Finite Frequency H∞ Static Output Feedback Control for 2-D Systems
    Rachid, Ismail E. R.
    Chaibi, Redouane
    Tissir, El Houssaine
    Hmamed, AbdelAziz
    Tadeo, Fernando
    2019 8TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'19), 2019, : 340 - 345
  • [45] Output Feedback H∞ Control for 2-D State-Delayed Systems
    Dan Peng
    Xinping Guan
    Circuits, Systems & Signal Processing, 2009, 28 : 147 - 167
  • [46] Output Feedback H∞ Stabilization of 2D Discrete Switched Systems in FM LSS Model
    Zhaoxia Duan
    Zhengrong Xiang
    Circuits, Systems, and Signal Processing, 2014, 33 : 1095 - 1117
  • [47] Output Feedback H a Stabilization of 2D Discrete Switched Systems in FM LSS Model
    Duan, Zhaoxia
    Xiang, Zhengrong
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (04) : 1095 - 1117
  • [48] An LMI approach to H∞ fuzzy-output feedback control for nonlinear systems
    Chen, CL
    Wang, TC
    Hsu, SH
    JOINT 9TH IFSA WORLD CONGRESS AND 20TH NAFIPS INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS. 1-5, 2001, : 1838 - 1843
  • [49] H∞ output feedback control for delay Takagi-Sugeno fuzzy systems
    Lin, YC
    Lo, JC
    2005 IEEE NETWORKING, SENSING AND CONTROL PROCEEDINGS, 2005, : 531 - 536
  • [50] H∞ output feedback control design for discrete-time fuzzy systems
    Zhang, Jinhui
    Xia, Yuanqing
    Shi, Peng
    Qiu, Jiqing
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (04): : 415 - 437
12345