Sliding mode control of lorenz chaotic system on a moving fuzzy surface

This paper presents a novel fuzzy sliding mode approach to control Lorenz chaotic system without chattering problem. A boundary layer and a moving fuzzy surface with an algorithm to remove chattering are used in the proposed control law. Two folds present advantages of the proposed approach: 1) it has a flexibility to define the control law without cancelling useful nonlinearities; 2) the system performance is robust against parametric uncertainties. Consequently, the goals of stabilization of chaotic motion and tracking a reference signal are achieved without chattering. Theoretical analysis and numerical simulations illustrate the effectiveness of the proposed control approach. Moreover, the proposed method is superior to backstepping method in overcoming parametric uncertainties with less control effort.