On discrete-time H-infinity problem with a strictly proper controller

被引:16
|
作者
Mirkin, L
机构
[1] Faculty of Mechanical Engineering, Technion–Israel Institute of Technology, Haifa
关键词
D O I
10.1080/002071797224531
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 standard discrete-time H-infinity control problem is considered under the constraint imposed upon the controller to be strictly proper. The necessary and sufficient conditions for the existence of a gamma-suboptimal controller are derived and the set of all linear time-invariant controllers, which solve the problem, is parametrized. In contrast with the unconstrained case, the state-space solution obtained is very transparent and actually is not more complex than the solution of the continuous-time H-infinity problem.
引用
收藏
页码:747 / 765
页数:19
相关论文
共 50 条
  • [1] THE DISCRETE-TIME H-INFINITY CONTROL PROBLEM WITH STRICTLY PROPER MEASUREMENT FEEDBACK
    STOORVOGEL, AA
    SABERI, A
    CHEN, BM
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (09) : 1936 - 1939
  • [2] DISCRETE-TIME H-INFINITY CONTROL
    LIMEBEER, DJN
    GREEN, M
    WALKER, D
    PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 392 - 396
  • [3] THE DISCRETE-TIME H-INFINITY CONTROL PROBLEM WITH MEASUREMENT FEEDBACK
    STOORVOGEL, AA
    SABERI, A
    CHEN, BM
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) : 457 - 479
  • [4] THE DISCRETE-TIME H-INFINITY CONTROL PROBLEM WITH MEASUREMENT FEEDBACK
    STOORVOGEL, AA
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (01) : 182 - 202
  • [5] THE DISCRETE-TIME RICCATI EQUATION RELATED TO THE H-INFINITY CONTROL PROBLEM
    STOORVOGEL, AA
    WEEREN, AJTM
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (03) : 686 - 691
  • [6] Discrete-time mixed-norm H-2/H-infinity controller synthesis
    Davis, LD
    Collins, EG
    Haddad, WM
    OPTIMAL CONTROL APPLICATIONS & METHODS, 1996, 17 (02): : 107 - 121
  • [7] DECENTRALIZED H2/H-INFINITY CONTROLLER-DESIGN - THE DISCRETE-TIME CASE
    HADDAD, WM
    BERNSTEIN, DS
    NETT, CN
    PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 932 - 933
  • [8] Non-fragile H-infinity Controller Design for Discrete-time Descriptor Systems
    Wo, SongLin
    Han, XiaoXin
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 39 - 44
  • [9] Design and implementation of a discrete-time H-infinity controller for uninterruptible power supply systems
    Ribas, Samuel Polato
    Maccari, Luiz Antonio, Jr.
    Pinheiro, Humberto
    de Leao Fontoura de Oliveira, Ricardo Coracao
    Montagner, Vinicius Foletto
    IET POWER ELECTRONICS, 2014, 7 (09) : 2233 - 2241
  • [10] H-INFINITY CONTROL OF DISCRETE-TIME UNCERTAIN SYSTEMS
    GEROMEL, JC
    PERES, PLD
    SOUZA, SR
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) : 1072 - 1075