Abstarct: In order to reduce chattering, an Extended State Observer baxse on Sliding Mode Control is considered in this thesis. Such other tasks, an Adaptive PI controller on area near the sliding surface to eliminate input chattering, fuzzy integral gain as Instead of switching gain and combination of backstepping Sliding Mode Control is performed. The proposed methods was made on the Duffing-Holms chaotic nonlinear system by simulation and the results compared with the boundary laxyer method is improve control effort and achieve good performance. Although the proposed method are compared with the accuracy of performance and control efforts and the effect of measurement noise is also investigated.