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P-type iterative learning control of nonlinear systems with uncertainties

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with the problem of robustness of P-type iterative learning control for uncertain nonlinear system. Besides the vector field, the control matrix and output matrix of the control system considered in this paper all have uncertainties. Iterative learning laws for initial states and for inputs are presented. A new technique has been developed to estimate the tracking errors of iterative control systems, which have an initial state error. Based on the estimation, upper bounds of the norms of the uncertainties of the control matrix and the output matrix are obtained, which guarantee that the iterative learning laws for initial states and for inputs are convergent. The results in this paper show that the P-type iterative learning control has robustness with respect to the uncertainties of the control matrix and the output matrix.
Czasopismo
Rocznik
Strony
77--84
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
  • Department of Mathematics, China Institute of Metrology, Hangzhou 310018, P.R of China
autor
  • Institute of Systems Science , The Chinese Academy of Science, Beijing 100080, P.R. of China
autor
  • Department of Electrical Engineering, Zhejiang University, Hangzhou 310027, P.R of China
Bibliografia
  • [1] Sun M., Huang B., Iterative learning control. Publishing House of National Defense Industry, Beijing 1999.
  • [2] Porter B., Mohamed S. S., Iterative learning control of partially irregular multivariable plants with initial impulsive action. Int. J. Syst. Sci., Vol. 22, No. 3, 1991, 447-454.
  • [3] Chen Y., Wen C., Gong Z., Sun M., An iterative learning controller with initial state learning, IEEE Transactions on Automatic Control, Vol. 44, No. 2, 1999, 371-376.
  • [4] Arimoto S., Learning control theory for robot motion. International Journal of Adaptive Control and Signal Processing, Vol. 4, 1990, 543-564.
  • [5] Arimoto S., Naniwa T., Suzuki H., Robustness of P-type learning control with a forgetting factor for robot motions. Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, Hawaii, 1990, 1640-1645.
  • [6] Arimoto S., Naniwa T., Suzuki H., Selective learning with a forgetting factor for robotic motion control. Proceedings of IEEE International Conference on Robotics and Automation, Sacramento CA 1991,728-733.
  • [7] Sun M., Robustness of higher-order P-type learning control. Control Theory and Applications, Vol. U No. 1, 1997, 12-18.
  • [8] Kuc T. Y., Lee S. J., Learning strictly positive real linear systems with uncertain parameters and unknown input disturbances, Automatica, Vol. 32, No. 5, 1996, 791-792.
  • [9] Saab S. S., On the P-type learning control, IEEE Transactions on Automatic Control, Vol. 39, No. 11, 1994, 2298-2302.
  • [10] Lucibello P., Comments on "an iterative learning controller with initial state learning", IEEE Transactions on Automatic Control, Vol. 47, No. 4, 2002, 703-704.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0008-0038
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