LINEAR AND NONLINEAR ALGORITHMS FOR IDENTIFICATION IN H-INFINITY WITH ERROR-BOUNDS

被引:70
作者
GU, GX [1 ]
KHARGONEKAR, PP [1 ]
机构
[1] UNIV MICHIGAN, DEPT ELECT ENGN & COMP SCI, ANN ARBOR, MI 48109 USA
关键词
D O I
10.1109/9.148347
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, a linear algorithm and a nonlinear algorithm are presented for the problem of "system identification in H infinity," posed by Helmicki, Jacobson, and Nett for discrete-time systems. We derive some error bounds for the linear algorithm which indicate that it is not robustly convergent. However, the worst-case identification error is shown to grow as log (n) where n is the model order. A new robustly convergent nonlinear algorithm is derived, and bounds on the worst-case identification error (in the H infinity norm) are obtained.
引用
收藏
页码:953 / 963
页数:11
相关论文
共 46 条
  • [1] Adamjan V. M., 1971, MATH USSR SB, V15, P31
  • [2] AKCAY H, UNPUB IEEE T AUTOMAT
  • [3] Goodwin G. C., 1989, International Journal of Adaptive Control and Signal Processing, V3, P333, DOI 10.1002/acs.4480030405
  • [4] GOODWIN GC, 1990 P AM CONTR C SA, P2400
  • [5] GRONWALL TH, 1921, B AM MATH SOC, V27, P275
  • [6] GU G, 1991 P AM CONTR C BO, P64
  • [7] GU G, 1991, 1991 P AM CONTR C BO, P687
  • [8] A NOVEL-APPROACH TO THE SYNTHESIS OF RECURSIVE DIGITAL-FILTERS WITH LINEAR-PHASE
    GU, GX
    SHENOI, BA
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (06): : 602 - 612
  • [9] ROBUST CONVERGENCE OF 2-STAGE NONLINEAR ALGORITHMS FOR IDENTIFICATION IN H-INFINITY
    GU, GX
    KHARGONEKAR, PP
    LI, YL
    [J]. SYSTEMS & CONTROL LETTERS, 1992, 18 (04) : 253 - 263
  • [10] APPROXIMATION OF INFINITE-DIMENSIONAL SYSTEMS
    GU, GX
    KHARGONEKAR, PP
    LEE, EB
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (06) : 610 - 618