  In this paper, a robust adaptive type-2 fuzzy higher order sliding mode
controller is designed to stabilize the unstable periodic orbits of uncertain
perturbed chaotic system with internal parameter uncertainties and external
disturbances. In Higher Order Sliding Mode Control (HOSMC),the chattering
phenomena of the control effort is reduced, by using Super Twisting algorithm.
Adaptive interval type-2 fuzzy systems are proposed to approximate the unknown
part of uncertain chaotic system and to generate the Super Twisting signals.
Based on Lyapunov criterion, adaptation laws are derived and the closed loop
system stability is guaranteed. An illustrative example is given to demonstrate
the effectiveness of the proposed controller.

Systems and Control