Java design question about constructors with exceptions

I don't like to have Constructors that can fail and throw a bunch of exceptions. Especially not exceptions that are reasonable to occur sometimes and that you expect to be possible to handle.

In this case, there is a hardware device that hopefully is connected to the computer.
However, if it isn't I will get an exception in the managing class (a singleton) in its java constructor.
I want to work away from that, but don't like the idea of having to call init on the singleton to get it working.