Controller of internal combustion engine with supercharger

A controller of an internal combustion engine with a supercharger, which includes, for each of cylinders, fuel supply system for supplying a fuel in the cylinder, sensor for detecting a peak combustion value, and an ignition plug, the controller comprising:

• an electronic control unit configured to
• (i) set a basic ignition timing for generating a spark by the ignition plug depending on an operation state of the internal combustion engine;
• (ii) detect, based on the peak combustion value, for each cycle, an abnormal combustion generation cylinder in which an abnormal combustion is generated in a supercharged region;
• (iii) execute a fuel cut to stop a fuel supply by the fuel supply system for the abnormal combustion generation cylinder;
• and
• (iv) change an ignition timing to expand a crank angle width between a compression top dead center and the basic ignition timing for several cycles after start of the fuel cut, and
• (v) execute an ignition cut that prohibits the spark from being generated by the ignition plug, further after elapse of the several cycles, for the abnormal combustion generation cylinder, wherein
• the fuel supply system includes an in-cylinder injector that directly injects the fuel in the cylinder and a port injector that injects the fuel in an intake port;
• and
• the electronic control unit is configured to execute the fuel cut from a cycle after a next cycle by increasing and correcting a fuel injection amount for the next cycle of the in-cylinder injector when the electronic control unit detects that a predetermined cylinder is the abnormal combustion generation cylinder in a present cycle after the port injector starts a fuel injection for the next cycle for the predetermined cylinder.