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This paper proposed a trajectory sliding control strategy for a nonlinear chaotic system subject to external disturbance. For a given chaotic system, a trapping region is designed based on the invariant ellipsoid control method. Existence of the control region is characterized by a feasibility issue of linear matrix inequalities. According to the path information of the chaotic system, we classify...
This paper addresses a novel global nonlinear sliding surface to achieve robustness and high performance for a class of uncertain nonlinear systems. Using the Lyapunov stability theorem, exponential stability analysis of the system states is proposed in the linear matrix inequality form. A new control law is designed to guarantee the elimination of the reaching phase and the existence of the sliding...
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