Static output feedback stabilization: An ILMI approach

被引：452
|
作者：
Cao, YY [1 ]
Lam, J
Sun, YX
机构：
[1] Zhejiang Univ, Inst Ind Proc Control, Hangzhou 310027, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China
来源：
AUTOMATICA | 1998年 / 34卷 / 12期
基金：
中国国家自然科学基金;
关键词：
static output feedback; linear matrix inequality (LMI); stabilization; linear time-invariant systems;
D O I：
10.1016/S0005-1098(98)80021-6
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 note, the static output feedback stabilization problem is addressed using the linear matrix inequality technique. A necessary and sufficient condition for static output feedback stabilizability for linear time-invariant systems is derived in the form of a matrix inequality. The extension of the result to H-infinity control is studied. An iterative LMI (ILMI) algorithm is proposed to compute the feedback gain. Numerical examples are employed to demonstrate the effectiveness and the convergence of the algorithm. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1641 / 1645
页数：5
相关论文
共 50 条
  • [21] Simultaneous Stabilization of SISO Plants Using Static Output Feedback
    Xiao Jian Du ShenhuaSchool of Electric Engineering Southwest Jiaotong University Chengdu China
    Journal of Southwest Jiaotong University, 1997, (02)
  • [22] Stabilization of discrete time linear systems by static output feedback
    Garcia, G
    Pradin, B
    Zeng, FY
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) : 1954 - 1958
  • [23] SPECTRUM ASSIGNMENT AND STABILIZATION OF LINEAR DIFFERENTIAL EQUATIONS WITH DELAY BY STATIC OUTPUT FEEDBACK WITH DELAY
    Zaitsev, V. A.
    Kim, I. G.
    VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2020, 30 (02): : 208 - 220
  • [24] QUANTIZED STATIC OUTPUT FEEDBACK STABILIZATION OF DISCRETE-TIME NETWORKED CONTROL SYSTEMS
    Liu, Yingying
    Yang, Guanghong
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2011, 7 (02): : 719 - 731
  • [25] Static output feedback stabilization for 2D fuzzy Systems
    Boukili, B.
    El-Amrani, A.
    Hmamed, A.
    El Hajjaji, A.
    Boumhidi, I
    2019 8TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'19), 2019, : 83 - 87
  • [26] Static output feedback stabilization for linear discrete-time systems
    Bara, GI
    Boutayeb, M
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 1264 - 1269
  • [27] Static output feedback control of positive linear systems with output time delays
    Van Thanh Huynh
    Nguyen, Cuong M.
    Hieu Trinh
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (15) : 2815 - 2823
  • [28] Stabilization of rational nonlinear discrete-time systems by state feedback and static output feedback
    Reis, Gabriela L.
    Araujo, Rodrigo F.
    Torres, Leonardo A. B.
    Palhares, Reinaldo M.
    EUROPEAN JOURNAL OF CONTROL, 2022, 67
  • [29] From static output feedback to structured robust static output feedback: A survey
    Sadabadi, Mandieh S.
    Peaucelle, Dimitri
    ANNUAL REVIEWS IN CONTROL, 2016, 42 : 11 - 26
  • [30] Static Output Feedback Stabilization With H∞ Performance for Discrete-Time Piecewise Affine Systems: An LMI Approach
    Wang, Juan
    Zhang, Tao
    MEASURING TECHNOLOGY AND MECHATRONICS AUTOMATION, PTS 1 AND 2, 2011, 48-49 : 1112 - 1115
12345