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An adaptive sliding mode control scheme for a class of chaotic systems with mismatched perturbations and input nonlinearities. (English) Zbl 1221.93050
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.

93B12Variable structure systems
34H10Chaos control (ODE)
34C28Complex behavior, chaotic systems (ODE)
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control
Full Text: DOI
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