Controller for internal combustion engine

When a driving region of an engine is in a specified self-ignited combustion region, a valve timing is controlled in such a manner as to establish a negative valve overlap period in which an exhaust valve and an intake valve are closed. During the negative valve overlap period, a direct injection is performed to reform a fuel. After the direct injection, a port injection is performed to control an output. Thereby, a self-ignited combustion control is performed. During the self-ignited combustion control, a fuel reform degree of the fuel injected by the direct fuel injection is detected, and a self-ignited combustion condition in a present combustion cycle is estimated based on the fuel reform degree detected in the present combustion cycle. A fuel injection quantity of the intake port fuel injection is corrected according to the estimated self-ignited combustion condition in order to stabilize the self-ignited combustion condition.