Dominate Person and Invisibility.

[Aftond]

When you invis your dominated creature, it won't attack at all. Have tried making it attack without the playertool and with it, same results both times.

After dispelling the creature, and reapplying dominate it will attack. But only until you apply invis again. It behaves like it's blind to its surroundings, and won't even attack enemies who are attacking it.

[naturaly]

Try to dominate it when it’s not already in combat. This seems to fix the not attacking in invis bug.

Also try using the “defend me” order instead of “attack nearest.” Sometimes it responds to this.

Also, try the standard reset sequence: use PC Tool on self until it say you not control anyone anymore, radial shout order team to follow, make sure they actually move, radial shout order them to hold position, make sure they actually stop, then use pc tool on self to control everyone again. This works 9 out of 10 times.

All else fails, when invisible wear off it start attacking again. It just the invisible that cause problem, not the deflection, so improved invisible still useful.

[Kalopsia]

You can command the creature to attack some remains. That’ll fix the Invisibility bug.
If it doesn’t respond to that command, make sure to try what naturaly said, then repeat.