??? Don't know, I guess try removing the battry then putting it back in. Then connect it drectly to power (without the docking station) and try to turn it back on. I have no idea what would cause this sort of behavior, you should call IBM if things are this critical, unless someone on here has had this isue you might just be dealing with a lot of potentially fruitless best suggestions (like mine) as opposed to someone who might actually know a sure fix.
I read something about a fellow that had some sort of problem with a Dell machine that a tech had them remove all the potential power (batt, PSU) and then hold down the power button for like 15 sec, I don't know what this did but I remember that it did fix that feelow's issue. Perhaps IBM can tell you the secret reset or whatever.
Good luck, sorry I couldn't help.