PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Gain design of quasi-continuous exponential stabilizing controller for a nonholonomic mobile robot

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The control of nonholonomic canonical form using an invariant manifold is investigated to apply to a mobile robot steered by two independent driving wheels. A quasi-continuous exponential stabilizing controller is designed by using another input pattern. Additionally, the control gain designing method is proposed for this controller. Modified error system of nonholonomic double integrator model is used as nonholonomic canonical form. Generally, the gain cannot be calculated due to the non-linear transform of system. Owing to complicated relation of several parameters, the controller behavior is inconstant by gain pattern. We propose a method of designing gain which uses desired settling time. An approximate equation to obtain designed gains is derived based on the evaluation function. The design method to determine gains of the assumed actual system is simulated. The effectiveness of the proposed method is confirmed by these simulations.
Rocznik
Strony
189--200
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
  • Department of Science and Advanced Technology, Saga University, Saga, Japan
autor
  • Department of Mechanical Enginnering, Saga University, Saga, Japan
autor
  • Department of Mechanical Enginnering, Saga University, Saga, Japan
Bibliografia
  • [1] T.-C. Lee, Exponential stabilization for nonlinear systems with applications to nonholonomic systems, Automatica, vol. 39, no. 6, pp. 1045–1051, 2003.
  • [2] A. Bloch, S. Drakunov, Stabilization and tracking in the nonholonomic integrator via sliding modes, Systems and Control Letters, vol. 29, no. 2, pp. 91–99, 1996.
  • [3] G. Escobar, M. Reyhanglu, Regulation and tracking of the nonholonomic double integrator: A fieldoriented control approach, Automatica, vol. 34, no. 1, pp. 125–131, 1998.
  • [4] R. W. Brockett, Asymptotic stability and feedback stabilization, Differential Geometric Control Theory, pp. 181–191, 1983.
  • [5] J. Luo, P. Tsiotras, Control design for chained-form systems with bounded inputs, System and Control Letters, vol. 39, no. 2, pp. 123–131, 2000.
  • [6] Z. Sun, S.S. Ge, W. Huo, T.H. Lee, Stabilization of nonholonomic chained systems via nonregular feedback linearization, System and Control Letters,vol. 44, no. 4, pp. 279–289, 2001.
  • [7] N. Marchand, M. Alamir, Discontinuous exponential stabilization of chained form systems, Automatica, vol. 39, no. 2, pp. 343–348, 2003.
  • [8] K. Cao, Global -exponential tracking control of nonholonomic systems in chained-form by output feedback, Acta Automatica Sinica, vol. 35, no. 5, pp. 568–576, 2009.
  • [9] O. J. Sordalen, O. Egeland, Exponential stabilization of nonholonomic chained systems, IEEE Trans. on Automatica Control, vol. 40, no. 1, pp. 35–49, 1995.
  • [10] A. Astolfi, Discontinuous control of nonholonomic systems, Systems and Control Letters, vol. 27, no. 1, pp. 37–45, 1996.
  • [11] A. Astolfi, Discontinuous control of the brockett integrator, Proc. of the 36th IEEE Conference on Decision and Control, vol. 5, pp. 4334–4339, 1997.
  • [12] J. P. Hespanha, A. S. Morse, Stabilization of nonholonomic integrators via logic-based switching, Automatica, vol. 35, no. 3, pp. 385–393, 1999.
  • [13] R. N. Banavar, Switched control strategies for underactuated Systems, Manuscripts of Invited talk, ACODS07, 2007.
  • [14] H. Khennouf and C. Canudas de Wit, On the construction of stabilizing discontinuous controllers for nonholonomic systems, Proc. of IFAC Nonlinear Control Systems Design, pp. 747–752, 1995.
  • [15] H. Khennouf, C. Canudas de Wit, Quasicontinuous exponential stabilizers for nonholonomic systems, Proc. of IFAC 13th TriennialWorld Congress, pp. 49–54, 1996.
  • [16] S. Nonaka, T. Tsujimura and K. Izumi: Modified error system of nonholonomic double integrator model using invariant manifold control, Proceedings of SICE Annual Conference 2014, pp. 42–47, 2014.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ececbc36-f587-4d22-8a5b-565576fc7dce
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.