a desired m inj one possible implementation of the invention of fig4 may be seen in fig5 and 6 block 2 of fig6 the flow relationship of the fuel injector is a piece wise linear curve shown in more detail in fig5 this curve may be completely described by four terms of parameters the x axis intercept x int the breakpoint x bkpt the slope along the lower portion u03b4 low and the slope along the higher portion u03b4 high block 1 of fig4 becomes four relationship f 1 f 2 f 3 and f 4 that determine the four fuel injector curve parameters given u03b4p inj and t fr a second possible implementation of the invention shown in fig4 can be seen in fig7 here block 2 of fig7 would be a smooth curve no discontinuities as with the piece wise linear curve this is a more accurate representation of injector operation than the piece wise linear embodiment the curve again relates pw inj to the desired m inj to be metered this curve may be an algebraic parameterization of an equation such as that in eq 1 where the coefficients are functions of u03b4p inj and t fr pw sub inj a sub 2 u03b4p sub inj t sub fr m sub inj sup 2 a sub 1 u03b4p sub inj t sub fr m sub inj sup 1 a sub 0 a sub 1 u03b4p sub inj t sub fr m sub inj a sub 2 u03b4p sub inj t.