In this chapter, Batman attempts to subdue Hugo Strange and deactivate Protocol Ten, but it turns out the evil scientist is working for someone else...
When you get in the elevator, use the grapnel to zip up to the roof of the elevator, because a TYGER squad will be waiting to ambush. It's actually possible to skip this fight, as I show in the video. It's easy enough that I think you should try and do it yourselves, especially since the regular is not exactly easy. Just remember to throw a Smoke Bomb down as soon as you finish hacking the console on the left.
Keep moving along the ledge and drop down when Hugo Strange starts talking. You'll need to grapnel your way up to the top of the tower. Start by moving toward the camera and look up. Zip up to the that point, then head left and walk along the antenna. Zip up to the next level, then again twice. Fly down a level, then head right. Walk across the antenna again, and then the rope, and zip up to the next level. Move to the right, towards one of the Riddler trophies, and zip up a level again. Then use the Cryptographic Sequencer on the console in front of you, unlocking a gate above you. Zip up to that level too.
Security Control Centre
Move along the catwalk and jump into the ventilation shaft for your last big Predator sequence. There are a number of different ways to tackle this, and they're all long but relatively easy depending on how much you've upgraded Batman. Once everyone's down, walk up to where Strange is barricaded and hack the console in front of him with the Cryptographic Sequencer. Walk up to Strange to end the level.