What setup (of relays) can do this?

[lynhnn]

The load is connect to an output from an auto switch over where inverter is the priority and grid is standby
normally, inverter would be off, the output would power by the grid
when the load is activated, the current sensing would close the loop and turn on the inverter
then the auto switch would transfer the load to the inverter power

It doesn't work "out of the box" as the auto transfer switch (has a split second off) cause the sensing to turn off (the inverter) while transferring the power
I would need some "state" relay not to turn off immediately and I'm not sure what and how.

Thanks