Stabilization of chaotic systems via fuzzy time-delayed controller approac

Abstract

<span class="fontstyle0">In this paper, we investigate the stabilization of unstable periodic orbits of continuous time chaotic systems using<br />fuzzy time-delayed controllers. For this aim, we present a control method that can achieve stabilization of an unstable<br />periodic orbit (UPO) without any knowledge of the system model. Our proposal is attained progressively. First, we<br />combine the input-to-state linearizing controller with the fuzzy method to obtain one that achieves UPO stabilization.<br />Then, we use reduced order sliding observer to estimate the necessary state for the controller construction. Finally, the<br />efficiency of the proposed methods is demonstrated using numerical simulations applied to Chua's system.</span> <br /><br />