Stabilizing periodic orbits of Chua’s system using adaptive fuzzy sliding mode controller

Abstract

PurposeThe purpose of this paper is to investigate the stabilization of unstable periodic orbits of Chua’s system using adaptive fuzzy sliding mode controllers with moving surface.Design/methodology/approachFor this aim, the sliding mode controller and fuzzy systems are combined to achieve the stabilization. Then, the authors propose a moving sliding surface to improve robustness against uncertainties during the reaching phase, parameter variations and extraneous disturbances.FindingsAfterward, the authors design a sliding observer to estimate the unmeasurable states which are used in the previously designed controller.Originality/valueNumerical results are provided to show the effectiveness and robustness of the proposed method.