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An adaptive sliding mode control scheme for a class of chaotic systems with mismatched perturbations and input nonlinearities
Affiliation:1. International Centre of Insect Physiology and Ecology, P.O. Box 30772-00100, Nairobi, Kenya;2. Laboratoire de Mécanique, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812 Yaoundé-Cameroon, Germany;3. Institut de Recherche pour le Développement, Unite de Recherche 072, France;4. Université Paris-Sud 11, Orsay cedex 91405, France
Abstract:This paper is concerned with the stabilization problem for a class of chaotic systems with mismatched perturbations and input nonlinearities. A novel sliding surface is specially designed so that when the system enters the sliding mode, the mismatched perturbations can be effectively overcome and achieve asymptotic stability. Then, an adaptive sliding mode controller (ASMC) is proposed to drive the controlled state trajectories into the designated sliding surface in finite time even subjected to input nonlinearities. Finally, the corresponding numerical simulations are demonstrated to verify the effectiveness of proposed method.
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