Output Feedback H a Stabilization of 2D Discrete Switched Systems in FM LSS Model

被引:28
|
作者
Duan, Zhaoxia [1 ]
Xiang, Zhengrong [1 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
2D switched systems; Output feedback; Exponential stability; H-infinity performance; Dwell time; YAKUBOVICH-POPOV LEMMA; INFINITY CONTROL; HYBRID CONTROL; STABILITY; DESIGN;
D O I
10.1007/s00034-013-9680-6
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper investigates the dynamic output feedback H (a) stabilization problem for a class of discrete-time 2D (two-dimensional) switched systems represented by a model of FM LSS (Fornasini-Marchesini local state space) model. First, sufficient conditions for the exponential stability and weighted H (a) disturbance attenuation performance of the underlying system are derived via the average dwell time approach. Then, based on the obtained results, dynamic output feedback controller is proposed to guarantee that the resulting closed-loop system is exponentially stable and has a prescribed disturbance attenuation level gamma. Finally, two examples are provided to verify the effectiveness of the proposed method.
引用
收藏
页码:1095 / 1117
页数:23
相关论文
共 50 条
  • [1] Output Feedback H∞ Stabilization of 2D Discrete Switched Systems in FM LSS Model
    Zhaoxia Duan
    Zhengrong Xiang
    [J]. Circuits, Systems, and Signal Processing, 2014, 33 : 1095 - 1117
  • [2] Stabilization and H∞ control of 2-D discrete systems in FM LSS model
    不详
    [J]. H(INFINITY) CONTROL AND FILTERING OF TWO-DIMENSIONAL SYSTEMS, 2002, 278 : 43 - 53
  • [3] Output Feedback Robust H∞ Control for Discrete 2D Switched Systems
    Gao, Wenjun
    Yang, Yang
    Duan, Hongtao
    Li, Mingsheng
    Ma, Jinrong
    Jin, Songwei
    [J]. COMPUTER SYSTEMS SCIENCE AND ENGINEERING, 2021, 39 (01): : 69 - 85
  • [4] H∞ filtering of 2-D discrete systems described by FM LSS model
    不详
    [J]. H(INFINITY) CONTROL AND FILTERING OF TWO-DIMENSIONAL SYSTEMS, 2002, 278 : 81 - 98
  • [5] State feedback H∞ control for discrete 2D switched systems
    Duan, Zhaoxia
    Xiang, Zhengrong
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (06): : 1513 - 1530
  • [6] H∞ STATIC OUTPUT FEEDBACK CONTROL OF 2-D DISCRETE SYSTEMS IN FM SECOND MODEL
    Feng, Zhi-Yong
    Xu, Li
    Wu, Min
    She, Jin-Hua
    [J]. ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1505 - 1513
  • [7] H2 output feedback controller design for discrete-time 2D switched systems
    Duan, Zhaoxia
    Xiang, Zhengrong
    [J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2014, 36 (01) : 68 - 77
  • [8] Switched output feedback stabilization of discrete-time switched systems
    Bara, G. Iulia
    Boutayeb, Mohamed
    [J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 2667 - 2672
  • [9] Static output feedback stabilization for 2D fuzzy Systems
    Boukili, B.
    El-Amrani, A.
    Hmamed, A.
    El Hajjaji, A.
    Boumhidi, I
    [J]. 2019 8TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'19), 2019, : 83 - 87
  • [10] Output-feedback stabilization of discrete-time switched systems
    Colaneri, Patrizio
    Gerornel, Jose C.
    [J]. 2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 362 - 367