If it has lots of long spiky leaves at the base, I think it's safe to say you've got a Yucca plant! It's a good thing you like it because they are very, very hard to kill, lol. They are originally from a desert climate so they grow very long roots to get at deep ground water. My mother pulled out all the yuccas in her garden 25 years ago, but every spring new sprouts still pop up from the little bits she must have missed! They do smell nice and I think they are rather neat-looking, despite my mother's opinion of them. :) Nice gift from nature to you and your yard. Lovely pic!
I know you can put an image into Google and then search for similar images and get a name that way, but I am not sure how to do that.