For information regarding Alien Autopsies see the related article on Research Projects.
This makes it possible to completely shut down a ruler by, for example, only attacking with Lightning Hands and ending turns to refresh the cooldown. For XCOM 2 on the PC, a GameFAQs message board topic titled 'Alien Hunters: When do the rulers appear? DANGEROUS RULER ALIENS AWAIT IN XCOM 2’S ALIEN HUNTERS DLC You are logged out. The best way to avoid such a problematic confrontation is to slowly “ crawl ” the map rather than rush through it all. The next ruler typically won't appear until the previous one is killed or successfully escaped.
Significant damage can be inflicted in only a single turn by applying such a status effect at the beginning of the player's turn resulting in the Alien Ruler taking repeated burn/acid burn damage as it responds to each action done by the player's units.