POLYNOMIAL SOLUTIONS TO H-INFINITY PROBLEMS

被引:8
|
作者
MEINSMA, G [1 ]
机构
[1] UNIV TWENTE,DEPT APPL MATH,7500 AE ENSCHEDE,NETHERLANDS
关键词
H-INFINITY-OPTIMIZATION; POLYNOMIAL METHODS; J-SPECTRAL FACTORIZATION; MCMILLAN DEGREE;
D O I
10.1002/rnc.4590040302
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper presents a polynomial solution to the standard H(infinity)-optimal control problem. Based on two polynomial J-spectral factorization problems, a parameterization of all suboptimal compensators is obtained. A bound on the McMillan degree of suboptimal compensators is derived and an algorithm is formulated that may be used to solve polynomial J-spectral factorization problems.
引用
收藏
页码:323 / 351
页数:29
相关论文
共 38 条
  • [1] OPTIMAL-SOLUTIONS TO A 2-BLOCK H-INFINITY PROBLEM
    MEINSMA, G
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) : 481 - 501
  • [2] Semidefinite programming tailored to H-infinity optimization arising from plant uncertainty problems
    Helton, JW
    Merino, O
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 1333 - 1338
  • [3] MIXED H-INFINITY OPTIMIZATION WITH MODEL-MATCHING
    HO, DWC
    LAM, J
    CHAN, TWK
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1994, 141 (05): : 329 - 340
  • [4] Design of H-infinity optimal stable stabilizing compensator
    Barabanov, AE
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 734 - 738
  • [5] H-INFINITY OPTIMIZATION OF DYNAMIC VIBRATION ABSORBER WITH NEGATIVE STIFFNESS
    Charef, Okba Abid
    Khalfallah, Salah
    ACTA TECHNICA NAPOCENSIS SERIES-APPLIED MATHEMATICS MECHANICS AND ENGINEERING, 2021, 64 (03): : 461 - 468
  • [6] Educational Case Study on H-Infinity Robust Performance Design
    Nemcik, Jakub
    Krupa, Filip
    Ozana, Stepan
    Hubka, Lukas
    Slanina, Zdenek
    TEHNICKI VJESNIK-TECHNICAL GAZETTE, 2021, 28 (02): : 481 - 487
  • [7] Strong stabilization of MIMO systems via H-infinity optimization
    Saif, AWA
    Gu, DW
    Postlethwaite, I
    SYSTEMS & CONTROL LETTERS, 1997, 32 (02) : 111 - 120
  • [8] COMMUTANT LIFTING AND SIMULTANEOUS H-INFINITY AND L2 SUBOPTIMIZATION
    FOIAS, C
    FRAZHO, AE
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (04) : 984 - 994
  • [9] NONLINEAR H-INFINITY OPTIMIZATION - A CAUSAL POWER-SERIES APPROACH
    FOIAS, C
    GU, CX
    TANNEBAUM, A
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (01) : 185 - 207
  • [10] H-INFINITY CONTROLLER SYNTHESIS BY J-LOSSLESS COPRIME FACTORIZATION
    GREEN, M
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (03) : 522 - 547