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Zbl 1221.93050
Xiang, Wei; Chen, Fangqi
An adaptive sliding mode control scheme for a class of chaotic systems with mismatched perturbations and input nonlinearities. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 1-9 (2011). ISSN 1007-5704

Summary: We are 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.

MSC 2000:: *93B12 Variable structure systems
34H10
34C28 Other types of "recurrent" solutions of ODE
37D45 Strange attractors, chaotic dynamics
37N35 Dynamical systems in control

Keywords: stabilization; sliding mode control; mismatched perturbation; chaotic system; input nonlinearity

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