Stabilization of chaotic systems via fuzzy time-delayed controller approac

In this paper, we investigate the stabilization of unstable periodic orbits of continuous time chaotic systems usingfuzzy time-delayed controllers. For this aim, we present a control method that can achieve stabilization of an unstableperiodic orbit (UPO) without any knowledge of the system model. Our proposal is attained progressively. First, wecombine the input-to-state linearizing controller with the fuzzy method to obtain one that achieves UPO stabilization.Then, we use reduced order sliding observer to estimate the necessary state for the controller construction. Finally, theefficiency of the proposed methods is demonstrated using numerical simulations applied to Chua’s system.

Keywords:

Chaos control , Time-delayed state feedback , Fuzzy adaptive systems , Sliding mode observer