Interval type 2 fuzzy sliding-mode control of a unified chaotic system

In this paper, a decoupled interval type-2 fuzzy sliding-mode controller (IT2-FSMC) is proposed to control a variant unified chaotic system. Without complicated theoretic deviations, the proposed technique is a combination of the interval type-2 fuzzy logic control (IT2-FLC) method and the sliding-mode control (SMC) approach and it also inherits the benefits of these two methods. The objective of the IT2-FSMC is to assure the asymptotic stability of the closed-loop system. The simulations include driving the states of a variant unified chaotic system to equilibrium point and tracking control of a predefined orbit extracted from the unforced Chen's chaotic system. The simulation results show that the IT2-FSMC can achieve better tracking performance in comparison with the conventional FSMC.