Adaptive Command-Filtered Backstepping Control for Chaotic Dynamic Systems

The adaptive command-filtered backstepping controller (ACFBC) is proposed to deal with the consensus problem of two chaotic dynamic systems. The proposed ACFBC system is designed based on the finite-time stability theorem in combination with backstepping technique and command filtered compensation. Moreover, a neural network (NN) approximation technique is utilized to approximate the unknown nonlinear function in this paper. Stability of the closed-loop system is analyzed via Lyapunov direct method. Finally, simulation results have shown the validity the proposed ACFBC system for the chaotic systems regarding unknown dynamic function.