A fuel control system according to the principles of the present disclosure includes a voltage measuring module, a first difference module, a second difference module, a third difference module, and an injector driver module. The voltage measuring module measures first and second voltages at first and second electrical connectors of a fuel injector of an engine. The first difference module determines a first difference based on a difference between the first and second voltages. The second difference module determines a second difference between (i) the first difference and (ii) a previous value of the first difference. The third difference module determines a third difference between (i) the second difference and (ii) a previous value of the second difference. The injector driver module selectively applies power to the fuel injector based on the third difference.