Sounds like software update 2.0/2.01 causes Dragon Age to crash frequently. There's already an update that fixes the crashing planned for release before the game comes out and it could be the update that was released tonight, but Polygon hasn't confirmed it yet.
Philip Kollar said:PS4 patch to fix major Dragon Age: Inquisition problem should be out by launch
As mentioned in our full review, we ran into some major problems with the PlayStation 4 version of Inquisition. Namely, the game would frequently freeze — at least once every few hours — and would generally lock up the entire PS4 as a result. The only way we could get it rebooted was to unplug the system or to hold down the power button for around 12 seconds.
While most of the crashes only briefly impeded progress, a few led to corrupted save files. We were able to salvage the game by deleting the one specific corrupted file, but it was always nerve-wracking to run into trouble loading a 40-hour-plus saved game.
After initially reporting these issues to Electronic Arts, a representative for the company reported back that the crashes were not actually caused by Dragon Age: Inquisition. Rather, they're apparently a side effect of Sony's PlayStation Network 2.0 firmware, which also recently affected the Evolve beta as well as the PS4's Rest Mode. That latter problem was apparently fixed by the 2.01 update last week, but the issue with Dragon Age: Inquisition remains.
Sony (through the same EA representative) offered to send Polygon a pre-2.0 PlayStation 4, but we turned down the offer since it's unlikely that any consumers would be playing the game on similarly unpatched hardware. However, later in the review process, Sony offered to send a PlayStation 4 containing an early version of the post-2.01 patch. We agreed to this to see if it made a difference.
The good news is: It did! We spent our last 15 or so hours with Dragon Age: Inquisition on a PS4 with the unreleased new firmware, and in that time we experienced no crashes.
Sony updated PlayStation Network to version 2.02 shortly before our review (and this story) went live. It's unclear if this is the patch that will fix the crashing problem on Dragon Age: Inquisition, but we will be testing it in the coming days.