A convex programming approach to the multiobjective H2/H∞ problem

被引:0
|
作者
Djouadi, SM [1 ]
Charalambous, CD [1 ]
Repperger, DW [1 ]
机构
[1] Univ Arkansas, Dept Syst Engn, Little Rock, AR 72204 USA
关键词
D O I
暂无
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, Banach space duality theory for the multiobjective H-2/H-infinity problem developed recently by the authors, is used to develop algorithms to solve this problem by approximately reducing the dual and predual reperesentations to finite variable convex optimizations. The Ellipsoid algorithm is then applied to these problems to obtain polynomial-time, non-heuristic programs which find "nearly" optimal control laws. These algorithms have been implemented numerically to compute an example.
引用
收藏
页码:4315 / 4320
页数:6
相关论文
共 50 条
  • [41] On hypersurfaces of H2×H2
    Dong Gao
    Hui Ma
    Zeke Yao
    [J]. Science China Mathematics, 2024, 67 (02) : 339 - 366
  • [42] An Algorithm for Generating Efficient Outcome Points for Convex Multiobjective Programming Problem
    Nguyen Thi Bach Kim
    Le Quang Thuy
    [J]. INTELLIGENT INFORMATION AND DATABASE SYSTEMS, PT II, PROCEEDINGS, 2010, 5991 : 390 - 399
  • [43] Hierarchical H∞/H2 optimal control:: 2-block problem
    Davies, R
    Halikias, GD
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1998, 70 (06) : 965 - 1017
  • [44] Multiobjective robust H2/H∞ fuzzy tracking control for thermal system of power plant
    Liu, Miao
    Dong, Ze
    [J]. JOURNAL OF PROCESS CONTROL, 2018, 70 : 47 - 64
  • [45] H2 -suboptimal stable stabilization by linear programming
    Ferreira, PAV
    Cabañas, AID
    [J]. PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 4378 - 4382
  • [46] Multiobjective optimization applied to robust H2/H∞ state-feedback control synthesis
    Gonçalves, EN
    Palhares, RM
    Takahashi, RHC
    [J]. PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 4619 - 4624
  • [47] Locally multiobjective H2 and H∞ control of large-scale interconnected marine structures
    Sorensen, AJ
    Lindegaard, KPW
    Hansen, EDD
    [J]. PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 1705 - 1710
  • [48] A CONVEX COMBINATION OF H2 AND H∞ FILTERS FOR SPACE-TIME ADAPTIVE EQUALIZATION
    Chaves, F. de S.
    Romano, J. M. T.
    Abbas-Turki, M.
    Abou-Kandil, H.
    [J]. 2011 IEEE STATISTICAL SIGNAL PROCESSING WORKSHOP (SSP), 2011, : 717 - 720
  • [49] The application of H2/H∞ filter in transfer alignment based on convex optimization technology
    Liu, Yiting
    Xu, Xiaosu
    Liu, Xixiang
    Yan, Jie
    Li, Peijuan
    Zou, Haijun
    [J]. 2013 SIXTH INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND DESIGN (ISCID), VOL 1, 2013, : 77 - 80
  • [50] Using the H2/H∞ approach to aviation gravimetry problems
    Kulakova V.I.
    Nebylov A.V.
    Stepanov O.A.
    [J]. Gyroscopy and Navigation, 2010, 1 (2) : 141 - 145