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This paper proposes an H-infinity combustion control method for diesel engines.The plant model is the discrete dynamics model developed by Yasuda et al.,which is implementable on a real engine control unit.We introduce a two-degree-of-freedom control scheme with a feedback controller and a feedforward controller.This scheme achieves both good feedback properties,such as disturbance suppression and robust stability,and a good transient response.The feedforward controller is designed by taking the inverse of the static plant model,and the feedback controller is designed by the H-infinity control method,which reduces the effect of the trubocharger lag.The effectiveness of the proposed method is evaluated in simulations using the nonlinear discrete dynamics model.