Observer-based control on a chaotic system with unknowns and uncertainties

This paper investigate the control problem for a kind of chaotic system in the case that uncertainties and unknowns exist; one observer is constructed to realize the estimate of the system state variable, unknowns and uncertainties effectively; then based on sliding mode technique and Lyapunov stability theory, a controller is designed to achieve the trajectory tracking control; some typical numerical simulation examples are included at last to illustrate the effectiveness of the given theoretical results.