Abstract: In order to improve the bidirectional control performance of the hybrid energy storage system(HESS)on the power support of the DC microgrid bus,a bidirectional power control method based on the terminal sliding mode auto disturbance rejection control(NTSM-ADRC)is proposed for the hybrid energy storage system.The mathematical models of the grid-connected system and bidirectional half-bridge DC/DC converter was analyzed.An additional power compensation control structure for the voltage stabilization of the supercapacitor was designed.Using non-singular terminal sliding mode auto-disturbance rejection control based on reaching law approach,and online estimation of system uncertainty and disturbance terms based on extended state observer,a bidirectional power regulation nonlinear controller for hybrid energy storage was designed.Through the simulation experiments and the performance comparison with the traditional linear controller,the simulation results verify the correctness and effectiveness of the proposed method.