Making two instances of a sub-vi run independently of each other?

[Chaos in a Can]

I wrote a rate limiting vi in LabVIEW that takes an input and maximum rate of change value and outputs a value that moves towards the input but changes no faster than the maximum rate.
To simplify the number of wires running to and from the vi, the vi remembers when it was last run and what its output value was by storing those values in a couple of indicators. Those indicators are not connected to terminals.

The problem arises when two or more of these are running at the same time in a program:
What I want to happen, is each instance of the vi should run independently of the others, with independent timers and last output values.
What actually happens, is each instance of the vi in the program calls the same function, so all of the vi's share the same timer and last output value.

This means that if I apply rate limiting seperately to the left and right wheels for tank style controls, whichever side executes first runs mostly normally, but when the rate limiter for the second side runs, the delta time is only a couple milliseconds--the time from the execution of the first side, not the time from the last iteration of the program. Also, what the program thinks is the last speed value for each side is actually the last value of the opposite side.

Short of duplicating the vi file for each instance in a program, is there any way to make multiple instances of a sub-vi run independently of each other?