In this paper, a novel adaptive type-2 fuzzy sliding mode control is designed. In order to stabilize the unstable periodic orbits of uncertain perturbed chaotic system. This letter is assumed to have an affine... more
In this paper, a novel adaptive type-2 fuzzy sliding mode control is designed. In order to stabilize the unstable periodic orbits of uncertain perturbed chaotic system. This letter is assumed to have an affine form with unknown mathematical model, the type-2 fuzzy system is used to overcome this constraint. For sliding mode, adaptive fuzzy type 2 systems have been introduced in order to generate the switching signal to avoid both the chattering and the constraint on the knowledge of upper bounds disturbances and uncertainties. These adaptive fuzzy type-2 systems are adjusted on-line by adaptation laws deduced from the stability analysis in Lyapunov sense. Simulation results show the good tracking performances by using the proposed approach.
