Parameterization of all stabilizing H∞ static state-feedback gains:: Application to output-feedback design

被引:58
|
作者
Gadewadikar, J. [1 ]
Lewis, Frank L.
Xie, L.
Kucera, V.
Abu-Khalaf, M.
机构
[1] Univ Texas, Automat & Robot Res Inst, Arlington, TX USA
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore, Singapore
[3] Czech Tech Univ Prague, Ctr Appl Cybernet & Control Engn, CR-16635 Prague, Czech Republic
基金
美国国家科学基金会;
关键词
controller parameterization; static output feedback; H infinity control;
D O I
10.1016/j.automatica.2007.02.005
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 presents a simplified parameterization of all H-infinity static state-feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and sufficient conditions for the existence of an static output-feedback gain are given. An efficient computational algorithm is given and its correctness proven. No initial stabilizing output-feedback gain is needed. The technique is used to design an H-infinity lateral-directional command augmentation system for the F-16 aircraft. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1597 / 1604
页数:8
相关论文
共 50 条
  • [31] STABILIZATION VIA STATIC OUTPUT-FEEDBACK - COMMENTS
    PIMPALKHARE, AA
    BANDYOPADHYAY, B
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) : 1148 - 1148
  • [32] On static output-feedback stabilization of a periodic system
    V. B. Larin
    International Applied Mechanics, 2006, 42 : 357 - 363
  • [33] Necessary and sufficient conditions for H-∞ static output-feedback control
    Gadewadikar, Jyotirmay
    Lewis, Frank L.
    Abu-Khalaf, Murad
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2006, 29 (04) : 915 - 920
  • [34] On static output-feedback stabilization of a periodic system
    Larin, V. B.
    INTERNATIONAL APPLIED MECHANICS, 2006, 42 (03) : 357 - 363
  • [35] THE H-INFINITY CONTROL PROBLEM USING STATIC OUTPUT-FEEDBACK
    SKELTON, RE
    STOUSTRUP, J
    IWASAKI, T
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) : 449 - 455
  • [36] Static H∞ Output-Feedback of Retarded Linear Systems with Stochastic Uncertainties
    Gershon, E.
    Shaked, U.
    MED: 2009 17TH MEDITERRANEAN CONFERENCE ON CONTROL & AUTOMATION, VOLS 1-3, 2009, : 475 - 479
  • [37] Design of H2 (H∞)-based optimal structured and sparse static output feedback gains
    Argha, Ahmadreza
    Li, Li
    Su, Steven W.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (10): : 4156 - 4178
  • [38] Robust Static H∞ Output-Feedback Control Using Polynomial Chaos
    Wan, Yiming
    Shen, Dongying E.
    Lucia, Sergio
    Findeisen, Rolf
    Braatz, Richard D.
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 6804 - 6809
  • [39] OUTPUT-FEEDBACK STABILIZING CONTROL WITH AN H-INFINITY BOUND ON DISTURBANCE ATTENUATION
    FABIEN, BC
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1993, 115 (03): : 531 - 535
  • [40] Robust D-stabilizing Output-feedback H∞ Control and its Simulation
    吕强
    沐阿华
    火力与指挥控制, 2007, (08) : 75 - 78