A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Advanced Search
Volume 7 Issue 2
Mar.  2020

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 15.3, Top 1 (SCI Q1)
    CiteScore: 23.5, Top 2% (Q1)
    Google Scholar h5-index: 77， TOP 5
Turn off MathJax
Article Contents
Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2020  >  7(2): 568-574
Yuan Jiang and Jiyang Dai, "Adaptive Output Regulation of a Class of Nonlinear Output Feedback Systems With Unknown High Frequency Gain," IEEE/CAA J. Autom. Sinica, vol. 7, no. 2, pp. 568-574, Mar. 2020. doi: 10.1109/JAS.2020.1003060
Citation: Yuan Jiang and Jiyang Dai, "Adaptive Output Regulation of a Class of Nonlinear Output Feedback Systems With Unknown High Frequency Gain," IEEE/CAA J. Autom. Sinica, vol. 7, no. 2, pp. 568-574, Mar. 2020. doi: 10.1109/JAS.2020.1003060
shu

Adaptive Output Regulation of a Class of Nonlinear Output Feedback Systems With Unknown High Frequency Gain

doi: 10.1109/JAS.2020.1003060
Funds:  This work was partially supported by the National Natural Science Foundation of China (61663030, 61663032), the Natural Science Foundation of Jiangxi Province (20142BAB207021), the Foundation of Jiangxi Educational Committee (GJJ150753), the Open Fund of Key Laboratory of Image Processing and Pattern Recognition of Jiangxi Province (Nanchang Hangkong University) (TX201404003), the Key Laboratory of Nondestructive Testing (Nanchang Hangkong University), Ministry of Education (ZD29529005), and the Reform Project of Degree and Postgraduate Education in Jiangxi (JXYJG-2017-131)
More Information
    Abstract
  • This paper presents an output feedback design approach based on the adaptive control scheme developed for nonlinearly parameterized systems, to achieve global output regulation for a class of nonlinear systems in output feedback form. We solve the output regulation problem without the knowledge of the sign and the value of the high frequency gain a priori. It is not necessary to have both the limiting assumptions that the exogenous signal ω and the unknown parameter μ belong to a prior known compact set and the high frequency gain has a determinate lower and upper bounds. The effectiveness of the proposed algorithm is shown with the help of an example.

     

    • FullText(HTML)
  • loading
    • References(26)
  • [1]
    A. Serrani and A. Isidori, “Global robust output regulation for a class of nonlinear systems,” Syst. Control Lett., vol. 39, pp. 133–139, 2000. doi: 10.1016/S0167-6911(99)00099-7
    [2]
    Q. Gong and W. Lin, “A note on global output regulation of nonlinear systems in the output feedback form,” IEEE Trans. Autom. Contr., vol. 48, no. 6, pp. 1149–1054, 2003.
    [3]
    W. Lin and C. J. Qian, “Adaptive control of nonlinearly parameterized systems: the smooth feedback case,” IEEE Trans. Autom. Contr., vol. 47, pp. 1249–1266, Aug. 2002. doi: 10.1109/TAC.2002.800773
    [4]
    W. Lin and C. J. Qian, “Adaptive control of nonlinearly parameterized systems: a nonsmooth feedback framework,” IEEE Trans. Autom. Contr., vol. 47, pp. 757–774, May 2002. doi: 10.1109/TAC.2002.1000270
    [5]
    L. Liu and J. Huang, “Global robust output regulation of output feedback systems with unknown high-frequency gain sign,” IEEE Trans. Autom. Control, vol. 51, no. 4, pp. 625–631, 2006. doi: 10.1109/TAC.2006.872752
    [6]
    X. D. Ye, “Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions,” Automatica, vol. 35, pp. 929–935, 1999. doi: 10.1016/S0005-1098(98)00228-3
    [7]
    R. D. Nussbaum, “Some remarks on a conjecture in parameter adaptive control,” Syst. Control Lett., vol. 3, pp. 243–246, 1983. doi: 10.1016/0167-6911(83)90021-X
    [8]
    J. Huang and Z. Y. Chen, “A general framework for output regulation problem,” in Proc. 2002 Amer.Control Conf., Anchorage, AK, USA, pp. 102–109.
    [9]
    A. Serrani, A. Isidori, and L. Marconi, “Semiglobal nonlinear output regulation with adaptive internal model,” IEEE Trans. Autom. Contr., vol. 46, pp. 1178–1194, 2001. doi: 10.1109/9.940923
    [10]
    A. Isidori, Nonlinear Control Systems, 3rd ed. Berlin: Springer, 1995.
    [11]
    R. Marino and P. Tomei, Nonlinear Control Design: Geometric, Adaptive, and Robust. London: Prentice-Hall, 1995.
    [12]
    H. K. Khalil, Nonlinear Systems, 3rd ed. New Jersey: Prentice-Hall, 2002.
    [13]
    M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
    [14]
    A. Isidori and C. I. Byrnes, “Output regulation of nonlinear system,” IEEE Trans. Autom. Contr, vol. 35, pp. 131–140, Jan. 1990. doi: 10.1109/9.45168
    [15]
    J. Huang, “Remarks on the robust output regulation problem for nonlinear systems,” IEEE Trans. Autom. Contr., vol. 46, pp. 2028–2031, Dec. 2001. doi: 10.1109/9.975514
    [16]
    J. Huang and W. J. Rugh, “On a nonlinear multivariable servomechanism problem,” Automatica, vol. 26, pp. 963–972, 1990. doi: 10.1016/0005-1098(90)90081-R
    [17]
    X. D. Ye and J. Huang, “Decentralized adaptive output regulation for a class of large-scale nonlinear systems,” IEEE Trans. Autom. Contr, vol. 48, pp. 276–281, Feb. 2003. doi: 10.1109/TAC.2002.808480
    [18]
    M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, “Adaptive nonlinear control without overparameterization,” Syst. Control Lett., vol. 19, pp. 177–185, 1992. doi: 10.1016/0167-6911(92)90111-5
    [19]
    Z. T. Ding, “Global adaptive output feedback stabilization of nonlinear systems of any relative degree with unknown high-frequency gains,” IEEE Trans. Autom. Control, vol. 43, no. 10, pp. 1442–1446, Oct. 1998. doi: 10.1109/9.720504
    [20]
    S. S. Ge and J. Wang, “Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients,” IEEE Trans. Autom. Control, vol. 48, no. 8, pp. 1463–1468, Aug. 2003. doi: 10.1109/TAC.2003.815049
    [21]
    X. D. Ye and J. P. Jiang, “Adaptive nonlinear design without a priori knowledge of control directions,” IEEE Trans. Autom. Control, vol. 43, no. 11, pp. 1617–1621, Nov. 1998. doi: 10.1109/9.728882
    [22]
    S. C. Tong, C. L. Liu, and Y. M. Li, “Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties,” IEEE Trans. Fuzzy Systems, vol. 18, no. 5, pp. 845–861, 2010. doi: 10.1109/TFUZZ.2010.2050326
    [23]
    S. C. Tong, T. Wang, Y. M. Li, and H. G. Zhang, “Adaptive neural network output feedback control for stochastic nonlinear systems with unknown dead-zone and unmodeled dynamics,” IEEE Trans. Cybernetics, vol. 44, no. 6, pp. 910–921, 2014. doi: 10.1109/TCYB.2013.2276043
    [24]
    Y. M. Li, S. C. Tong, and T. S. Li, “Observer-based adaptive fuzzy tracking control of MIMO stochastic nonlinear systems with unknown control direction and unknown dead-zones,” IEEE Trans. Fuzzy Systems, vol. 23, no. 4, pp. 1228–1241, 2015. doi: 10.1109/TFUZZ.2014.2348017
    [25]
    A. Shariati and Q. Zhao, “Robust leader-following output regulation of uncertain multi-agent systems with time-varying delay,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 807–817, Jan. 2018.
    [26]
    A. Odekunle, W. N. Gao, and Y. B. Wang, “Data-driven global robust optimal output regulation of uncertain partially linear systems,” IEEE/CAA J. Autom. Sinica, vol. 6, no. 5, pp. 1108–1115, Sep. 2019.
    • Related Articles
    • Supplements(0)

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

    Figures(4)

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1136) PDF downloads(62) Cited by()

    Highlights

    • In our work, the output regulation problem is solved without the a priori knowledge of the sign and value of the high frequency gain.
    • In our work, it is not necessary to have the limiting assumption that the exogenous signal ω and the unknown parameter μ belong to a prior known compact set.
    • In our work, it is not necessary to have the assumption that the high frequency gain has a determinate lower and upper bounds.

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return