Induction heating has always been a hot topic for scholars domestic and overseas because of its advantages of environmental protection and high thermal efficiency. The disturbance which exists in the power and control circuits brings the difficulty of estimating the parameters of electrical components accurately. The performance of traditional PI controller based on deterministic model is difficult to improve. Therefore, it is necessary to consider the influence of the disturbance on the induction heating control system. In this paper, a system state space model with equivalent series resonant load was established, and the model was decoupled by linearization method. Based on the decoupled model, a double closed loop PI controller and an improved current inner loop H∞ controller were designed. Finally, the PI controller and the H∞ controller were simulated under two starting conditions respectively. It is further confirmed by comparison that the improved system has better anti-interference ability and dynamic characteristics.