Here are some long-shot possibilities:
Iradis may be derived....
1...from "Irad", an obsolete word registered in the OED meaning "prepared, made ready, instructed, learned, expert" (from the Old Teutonic "garaido" meaning "to prepare")
2...from the Middle English "irad" meaning "read" (v), i.e. "to consider, interpret, discern" (from Skr. "radh", "to accomplish").
3...from the Turkish "iradah" meaning "will, desire" as well as a written decree by the Sultan.
4...from names such as
Ira,
Irit,
Iris...