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
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
  • [41] Adaptive output feedback control for a class of nonlinear systems with quantised input and output
    Li, Guangqi
    Lin, Yan
    INTERNATIONAL JOURNAL OF CONTROL, 2017, 90 (02) : 255 - 264
  • [42] A recursive least squares parameter estimation algorithm for output nonlinear autoregressive systems using the input-output data filtering
    Ding, Feng
    Wang, Yanjiao
    Dai, Jiyang
    Li, Qishen
    Chen, Qijia
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (15): : 6938 - 6955
  • [43] An Output Feedback Stabilizer for MIMO Nonlinear Systems with Uncertain Input Gain: Nonlinear Nominal Input Gain
    Ha, Wonseok
    Back, Juhoon
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 3465 - 3470
  • [44] ON THE SYNTHESIS OF LINEAR INPUT OUTPUT RESPONSES FOR NONLINEAR-SYSTEMS
    ISIDORI, A
    RUBERTI, A
    SYSTEMS & CONTROL LETTERS, 1984, 4 (01) : 17 - 22
  • [45] Existence of global input-output model for nonlinear systems
    Xiang, C
    2005 International Conference on Control and Automation (ICCA), Vols 1 and 2, 2005, : 125 - 130
  • [46] Parametrization of the Input-Output Image of Nonlinear Dynamic Systems
    A. E. Shumskii
    Automation and Remote Control, 2005, 66 : 1347 - 1356
  • [47] General approach to input-output pseudolinearization for nonlinear systems
    Lawrence, DA
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (10) : 1497 - 1501
  • [48] Input-to-output stabilization of nonlinear systems via backstepping
    Efimov, Denis V.
    Fradkov, Alexander L.
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 6128 - 6133
  • [49] MINIMALITY OF DYNAMIC INPUT OUTPUT DECOUPLING FOR NONLINEAR-SYSTEMS
    HUIJBERTS, HJC
    NIJMEIJER, H
    VANDERWEGEN, LLM
    SYSTEMS & CONTROL LETTERS, 1992, 18 (06) : 435 - 443
  • [50] Learning nonlinear input–output maps with dissipative quantum systems
    Jiayin Chen
    Hendra I. Nurdin
    Quantum Information Processing, 2019, 18