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the invisibilty power from the concealment power pool will NOT protect you from an enemy once you have agroed it!! You can however walk around unmolested in missions where you have to find x and not have to arrest everything...simply get to the object and click on it.
And if you havent had this happen to you..DONT USE THE ABILITY REST NEAR ENEMIES!! if you are hit by anything you will DIE!! (and using Phase Shift will not save you from this!!)
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However with superior invis from the Ill controller pool will allow you evade an aggroed enemy if they lose sight of you. One of my favorite tricks for when a battle goes poorly and my group needs a rezzer alive.
Also, sometimes it's best to take the time and read the info on some enemies before you fight them. Simply left click on them with your mouse. It may give you an insight on which ones to attack first and how to fight them.