Controller

A controller for a vehicle, the vehicle including:

• a pump configured to discharge a fuel by reciprocating a plunger;
• a rail configured to store the fuel discharged from the pump;
• and
• a fuel injection valve configured to inject the fuel supplied from the rail,
• the controller comprising:
• a waveform obtaining unit configured to obtain a waveform of a pressure of the fuel stored in the rail as a function of time in a predetermined period;
• a phase shift obtaining unit configured to obtain a phase shift based on the waveform obtained by the waveform obtaining unit, the phase shift being an offset between a timing the plunger reciprocated in the pump arrives at a first position and a timing a piston reciprocating in an internal combustion engine of the vehicle arrives at a second position;
• and
• a memory unit configured to store a correspondence table listing a plurality of reference waveforms and a plurality of reference phase shifts, wherein
• the phase shift obtaining unit is further configured to obtain the phase shift by comprising the waveform obtained by the waveform obtaining unit with the plurality of reference waveforms stored in the memory unit and referring to the correspondence table in the memory unit.