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Sliding mode control of the third order system with state constraints

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, a new sliding mode control algorithm for the third order, nonlinear system subject to velocity and acceleration constraints is considered. The algorithm guarantees fast transient behaviour, zero steady state error and insensitivity of the system with respect to matched model uncertainty and external disturbance from the very beginning of the control process. For that purpose, the algorithm employs a time varying switching plane selected in such a way that at the initial time the representative point of the system belongs to the plane. Afterwards, the plane moves in a finite time towards the origin of the coordinate frame and then remains fixed. A proper choice of the plane parameters ensures non-oscillatory system response and the minimisation of the integral of the absolute value of the system position error.
Czasopismo
Rocznik
Strony
35--44
Opis fizyczny
Bibliogr. 10 poz., wykr.
Twórcy
  • Institute of Automatic Control, Technical University of Łódź, 18/22 Stefanowskiego St., 90-924 Łódź, Poland
autor
  • Institute of Automatic Control, Technical University of Łódź, 18/22 Stefanowskiego St., 90-924 Łódź, Poland
Bibliografia
  • [1] Bartoszewicz A., comment on 'A time varying sliding surface for fast and robust tracking control of second-order uncertain systems', Automatica, Vol. 31, No. 12, 1995, 1893-1895.
  • [2] Bartoszewicz A., Time varying sliding modes for second-order systems, lEE Proceedings on Control Theory and Applications, Vol. 143, No. 5, 1996, 455-462.
  • [3] Choi S. B., Cheong C. C., Park D. W., Moving switching surfaces for robust control of second-order variable structure systems. International Journal of Control, Vol. 58, No. 1, 1993, 229-245.
  • [4] Choi S. B., Park D. W., Moving sliding surfaces for fast tracking control of second-order dynamic systems. Transactions of the ASME Journal of Dynamic Systems, Measurement and Control, Vol, Í16, No. 1, 1994, 154-158.
  • [5] Choi S. B., Park D. W., Jayasuriya S., A time varying sliding surface for fast and robust tracking control of second-order uncertain systems, Automatica, Vol. 30, No. 7, 1994, 899-904.
  • [6] Decarlo R. S., Żak S., Mathews G., Variable structure control of nonlinear multivariable systems: a tutorial. Proceedings of IEEE, Vol. 76, No. 3, 1988, 212-232.
  • [7] Hung J. Y., Gao W., Hung J. C., Variable structure control: a survey, IEEE Transactions on Industrial Electronics, Vol. 40, No. 1, 1993, 2-22.
  • [8] Slotine J. J., Li W., Applied Nonlinear Control, Prentice-Hall International Editions, 1991, No. 5, 1999, 123-134.
  • [9] Tokat S., Eksin I., Guzelkowa M., A new design method for sliding mode controllers using a linear time varying sliding surface. Proceedings of IMechE, Vol. 216, 2002, 455-466.
  • [10] Utkin V.. Variable structure systems with sliding modes, IEEE Transactions on Automatic Control, Vol. 22, No. 2, 1977, 212-222.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0008-0068
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