In this paper a new hybrid air energy storage system based on super capacitor energy storage has been proposed and a detailed introduction for each part of the structure and working principle has been given including the state space expression of the gas storage room, the scroll expander and the permanent magnet generator. The transfer function of the gravel packed bed thermal storage model has been set up. We have designed the state feedback linearization control rate for the boost converter as the main control part of the super capacitor based on the optimal tracking technology with the exact linearization theory of nonlinear control system. The simulation experiment shows that super capacitor compensate the power load rapidly at the time of start and bearing sudden load. And the hybrid system can optimal track 24 hours load curve. The experiment results show that the optimal tracking controller has a good control effect for the new hybrid air energy storage system based on super capacitor energy storage.