Optimized energy waveform for fuel injector trimming based on valve arrival time

A fuel system for an engine comprising:

• a fuel injector including a solenoid actuator and a valve operably coupled to the solenoid actuator and movable between a first position and a second position;
• a boosted voltage power supply;
• a lower voltage power supply;
• a fueling control unit structured to:
• energize the solenoid actuator using the boosted voltage power supply and the lower voltage power supply to adjust the valve from the first position to the second position;
• switch between the boosted voltage power supply and the lower voltage power supply to generate a solenoid energizing waveform including a pull-in tier produced by a boosted voltage incipient current, a boosted voltage second current, and a lower voltage later current;
• detect an arrival timing of the valve at the second position;
• calculate a valve arrival time error;
• and
• trim the fuel injector via closed loop varying of a current duration and a start of current timing of the boosted voltage incipient current based on the valve arrival time error.

A fuel control system for a fuel system in an engine comprising:

• a fueling control unit including a solenoid energizing waveform controller structured to:
• energize a solenoid actuator for a valve in a fuel injector using a boosted voltage power supply and a lower voltage power supply to adjust the valve from a first position to a second position;
• switch between the boosted voltage power supply and the lower voltage power supply to generate a solenoid energizing waveform including a pull-in tier produced by a boosted voltage incipient current, a boosted voltage second current, and a lower voltage later current following the boosted voltage second current, in a first engine cycle;
• detect an arrival timing of the valve at the second position based on the lower voltage later current;
• calculate a valve arrival time error;
• and
• trim the fuel injector via closed loop varying of a current duration Of and a start of current timing of the boosted voltage incipient current, in a subsequent engine cycle, based on the valve arrival time error.