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H~∞-IDENTIFICATION OF INFINITE-DIMENSIONAL LINEAR STOCHASTIC SYSTEMS 被引量：2

H￣∞-IDENTIFICATION OF INFINITE-DIMENSIONAL LINEAR STOCHASTIC SYSTEMS
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摘要 Ｈ~∞－ＩＤＥＮＴＩＦＩＣＡＴＩＯＮＯＦＩＮＦＩＮＩＴＥ－ＤＩＭＥＮＳＩＯＮＡＬＬＩＮＥＡＲＳＴＯＣＨＡＳＴＩＣＳＹＳＴＥＭＳＷＥＩＣｈｅｎ；ＧＵＯＬｅｉ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａＢｅｉｊｉｎｇ?.. A method consisting of auto-regressive approximation in system identification and input normal realization truncation in model reduction is proposed for transfer function identification of infinite-dimensional linear stochastic systems. The identified low order transfer function is constructed on basis of the input-output data only, and the estimation error bounds in terms of L∞-norm are also derived.
作者 WEI Chen GUO Lei (Institute of Systems Science, Academia Sinica Beijing 100080, China)
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1995年第1期88-96,共9页
关键词 Infinite-dimensional system STOCHASTIC process LEAST-SQUARES ESTIMATION model reduction. Infinite-dimensional system, stochastic process, least-squares estimation,model reduction.
分类号 O211.6 [理学—概率论与数理统计]
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同被引文献8

  • 1Nelles O. Orthonomal basis functions for nonlinear system identification with local linear model trees ( LOLIMOT ) [ A]. In Y. Sawaragi and S. Sagara. Preprints of 11th IFAC Symp. on System Identificarion [C]. Kitukyushu, Japan, 1997,2:667 - 672
  • 2Narendra K S, Mukhopadhyay S. Neural networks for system identification [A]. In Y. Sawaragi and S. Sagara. Preprints of 11th IFAC Symp. on System Identification [C]. Kitukyushu, Japan, 1997,2:763-269
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  • 4Liu G P, Billings S A, Kadir kamanathan V. Nonlinear identification via variable wavelet networks [ A]. In H. F. Chen and B. Whalberg. Prepints of 14th World Congress of IFAC [ C]. Beijing, China, 1999,109 - 114
  • 5Helmicki A J, Jacobson C A, Nett C N. Control oriented system identification: a worst-case/deterministic approach in H∞ [J]. IEEE Trans. on Automatic Control, 1991,36(10):1163- 1176
  • 6Gu G, Khargonekar P P. A class of algorithms for identification in H∞[J]. Automatica, 1992,28(2) :299- 312
  • 7Milance M, Vicino A. Information-based complexity and nonparametric worst-case system identification [J]. Journal of Complexity,1993,9(3) :427 - 446
  • 8Milance M, Vicino A. Optimal estimation theory for dynamic systems with set membership uncertainty: an overview [J]. Automatica, 1997,27(6):997- 1009

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Systems Science and Mathematical Sciences
1995年 第1期

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