Adaptive neural network H∞ tracking control for a class of nonlinear fractional order systems

The H∞ tracking control problem is investigated for a class of incommensurate fractional order strict feedback nonlinear systems with unknown nonlinear functions and external disturbances in this paper. The adaptive neural network H∞ tracking controller of the system is designed by combining backstepping technique, adaptive neural network technique with H∞ control theory and utilizing the frequency distributed model to construct Lyapunov functions. The H∞ tracking controller proposed in this paper can guarantee that the tracking error and all the signals in the closed-loop system are bounded, and the system has an H∞ performance for external disturbances. Finally, the simulation results verify the feasibility and effectiveness of the proposed control method.