Estimation of frequencies in the input and output of nonlinear systems

被引：0
|
作者：
Yang, Zaiyue [1 ]
Chan, Zhiwei [1 ]
Ling, Qing [2 ]
Mok, Hing Tung [1 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[2] Univ Sci & Technol China, Dept Automat, Hefei, Peoples R China
来源：
2006 CHINESE CONTROL CONFERENCE, VOLS 1-5 | 2006年
关键词：
frequency estimation; nonlinear system; Cramer-Rao lower bound; periodogram; dichotomous search;
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：
The estimation of the frequencies from experimental data has attracted a great deal of attention for many years. As the output of a nonlinear system often contains not only the fundamental frequency of the input, but also its harmonics, it is therefore necessary to consider the estimation of the frequencies in both the input and the output. In this paper, the Cramer-Rao lower bound (CRLB) for the estimate of the frequencies using both the input and output data is derived and a procedure for estimating the frequencies in the input and output variables is presented. It is shown in the simulation example that the estimated frequencies of the input and output using the proposed method is close to the CRLB obtained using both input and output data, much smaller than that using just the output or input data.
引用
收藏
页码：1765 / +
页数：4
相关论文
共 50 条
  • [21] Output feedback stabilization of nonlinear systems with delays in the input
    Zhang, XF
    Cheng, ZL
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 167 (02) : 1026 - 1040
  • [22] ON INPUT-OUTPUT STABILITY OF NONLINEAR FEEDBACK SYSTEMS
    BERGEN, AR
    IWENS, RP
    RAULT, AJ
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (04) : 742 - &
  • [23] INPUT-OUTPUT PSEUDOLINEARIZATION FOR NONLINEAR-SYSTEMS
    LAWRENCE, DA
    RUGH, WJ
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (11) : 2207 - 2218
  • [24] Input-output models for a class of nonlinear systems
    Atassi, AN
    Khalil, HK
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 2853 - 2857
  • [25] Robust Input-to-Output Stabilization of Nonlinear Systems
    Zhu, Lijun
    Chen, Zhiyong
    Chen, Xi
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 143 - 148
  • [26] INPUT OUTPUT LINEARIZABILITY OF AFFINE NONLINEAR-SYSTEMS
    ZAK, SH
    WALCOTT, BL
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1990, 21 (03) : 503 - 510
  • [27] Passivity of nonlinear systems with input-output feedthrough
    Santosuosso, GL
    AUTOMATICA, 1997, 33 (04) : 693 - 697
  • [28] On input-output stability of nonlinear retarded systems
    Gil', MI
    Ailon, A
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (05): : 761 - 763
  • [29] Input-output decoupling of nonlinear recursive systems
    Kotta, Ü
    KYBERNETIKA, 2000, 36 (01) : 43 - 51
  • [30] INPUT OUTPUT CHARACTERIZATION OF HIGHLY-NONLINEAR SYSTEMS
    NASSIRHARAND, A
    ADVANCES IN ENGINEERING SOFTWARE AND WORKSTATIONS, 1987, 9 (03): : 129 - 133
12345