I've not experienced this, but generally with phones the charging light not coming on is not a good sign (that's not controlled by the Android OS, but is much more basic).
I fear a hardware problem, and if you cannot get it to respond at all you'll have no real option apart from a warranty repair anyway. But just in case, try pressing and holding the power button for about 15 seconds. Do it in a brightly lit environment (really, it can make a difference). This is the force-shutdown procedure, and it's the only thing I can think of to try right now.