Chai Wei, Sun Xianfang. Set membership identification algorithm of nonlinear systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(11): 1237-1240. (in Chinese)
Citation: Chai Wei, Sun Xianfang. Set membership identification algorithm of nonlinear systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(11): 1237-1240. (in Chinese)

Set membership identification algorithm of nonlinear systems

  • Received Date: 12 Jul 2004
  • Publish Date: 30 Nov 2005
  • A new set membership identification algorithm was proposed for the robust identification problem of nonlinear dynamic systems with unknown but bounded noises. Radial basis function (RBF) networks were used to approximate unknown nonlinear dynamic systems utilizing their approximation ability according to input and output data of systems. The weights of the RBF network of the unknown nonlinear dynamic system were estimated using a linear-in-parameter set membership identification algorithm considering that the RBF network was a linear-in-parameter model and the modeling errors and system noises were bounded after the centers of the RBF network were determined. Since the result of the estimation was a set of the weights of the RBF network, it could be easily used to predict the interval of the practical system output. Simulation shows that the set membership algorithm is less affected by the distribution of the noises of the unknown nonlinear dynamic system than the least squares algorithm.

     

  • [1] SJ BERG J, Zhang Q H, Ljung L, et al. Nonlinear black-box modeling in system identification:a unified overveiw[J]. Automatica, 1995, 31(12):1691~1702 [2] 朱全民. 非线性系统辨识[J]. 控制理论与应用,1994,11(6):641~652 Zhu Quanmin. Nonlinear system identification[J]. Control Theory and Application, 1994, 11(6):641~652(in Chinese)
  • Relative Articles

    [1]GUO Shiluo, CHANG Limin, TANG Rui, LI Dong, LI Feng. Adaptive robust CKF and its application in SINS dynamic alignment[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0765
    [2]LI Y J,ZHOU J H,ZHANG X J. Dynamic modeling and parameter identification of balloon-borne gondola azimuth channel[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(6):2001-2008 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0547.
    [3]CHENG M H,LI W G,WANG Z. Identification method of ablation performance parameters of carbonized materials[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(4):1384-1391 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0474.
    [4]MA S G,ZHANG Z X,PU L,et al. Real-time robust visual tracking based on spatial attention mechanism[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(2):419-432 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0329.
    [5]WANG Li-li, YIN Shuo-feng, PAN Yue. Controller fatigue discrimination algorithm based on facial features[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0057
    [6]ZHANG Yonghua, WANG Zheng, WANG Shiyu, BAI Yunfei, QIU Likuan. Robust Guidance Method for Reusable Rocket Landing Phase based on UMPSP[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0491
    [7]ZHOU D P,LI H Q,WANG Y G,et al. Aircraft system identification algorithm based on generalized equivalent model[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(5):1454-1462 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0507.
    [8]SUN X M,MA X,LIU Y,et al. Adaptive sliding mode region reaching control for uncertain nonlinear systems[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(8):2482-2491 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0647.
    [9]QUAN Q,CHEN L. Control of non-affine nonlinear systems: A survey[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(8):2367-2381 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0642.
    [10]LI Tian, ZHAO You-qun, XU Tao, SHEN Ya-wei, LIN Fen. Stability control of vehicles powered by non-pneumatic wheels based on robust optimal sliding mode[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0238
    [11]CHEN Y F,GUO Y Q,MAO H T. Design of time-delay robust cascade PI controller for turboshaft engine[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(3):597-605 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0273.
    [12]LI C H,MA J,YANG Y J,et al. Adaptively robust multi-sensor fusion algorithm based on square-root cubature Kalman filter[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(1):220-228 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0201.
    [13]HU K,LI C,HU J P,et al. Robust multiple watermarking algorithm for color image via BEMD and DCT[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(1):165-176 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0214.
    [14]DENG B H,XU J F. Active disturbance rejection control of attitude of compound unmanned helicopter[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(11):3100-3107 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0788.
    [15]ZHAO J Y,HU J,YAO J Y,et al. EHA fault diagnosis and fault tolerant control based on adaptive neural network robust observer[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(5):1209-1221 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0416.
    [16]ZHANG J,ZHANG Z R,HONG Z C,et al. Robust optimization of aviation logistics network in context of COVID-19 pandamic[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(9):2218-2226 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0664.
    [17]XIE C C,ZHU L P,MENG Y,et al. Design of adaptive deformation wing control system based on system identification[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(10):2761-2770 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0717.
    [18]ZHANG H Y,WU W W,HUA H,et al. Evolution characteristics of China’s international air transport network under impact of COVID-19[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(10):2699-2710 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0747.
    [19]LI Jingqiang, FAN Tianchen, ZHOU Yanru, FANG Qiu. Comprehensive evaluation on capability of civil aviation supervisor team based on cloud model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(12): 2425-2433. doi: 10.13700/j.bh.1001-5965.2022.0363
    [20]XU Lingliang, CHEN Guiming, LI Qiaoyang. Ultra-local model-free speed predictive control based on ESO for PMSM[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(11): 2204-2214. doi: 10.13700/j.bh.1001-5965.2021.0085
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(3071) PDF downloads(964) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return