Adaptive control for a class of uncertain chaotic systems with saturation nonlinear input

The tracking problem for a class of uncertain chaotic systems, with saturation nonlinearity in the input function, is considered in this paper. The proposed design is based on the principle of sliding mode control. The saturation control term of nonlinearity is adopted to minify the adverse effect caused by saturation nonlinear input. Using the extended state observer, all states and unknown nonlinear function of the system can be estimated. The saturated model proposed in the paper is without any constraint condition. From Lyapunov stability theorem, it is proved that the objective can be implemented. Simulation results demonstrate the effectiveness of the proposed method.