There are a few problems. First off, note I do not own a PS, but have used them before.
1. US2 was intended to be a program, and less of a 'game'. PS, I would imagine, would not work too well with US2 as the nature of the program wouldn't work with the PS controllers (it is not a game).
2. Is your PS4 actually more powerful than your computer? That's possible, but I think that means you have pretty low PC specs for your PS4 to boast about it. I didn't expect them to be more powerful. (Speaking of which, you need OpenCL for US2 to work, or you will run into DEEEEEP SHIT aka: performance issues, eg. low framerate) I don't think a PS is actually for simulating on the scale of a Universe Sandbox, or basically any kind of high-processor activity like US2. As I said before, I do not own a PS, but I do understand that a PS, or PS4 for that matter, is built for games like COD, etc (I'd imagine) and that is why the device is built the way it is. (Built for TV, comes with gamepad, etc.)
3. US2 requires OpenCL, which is basically a method for doing really fast maths, but I'm not going to tell you exactly what it does to achieve this (...) I assume OpenCL is software unavailable to PS, just like adobe flash player is unavailable to a Nintendo DS.
4. US2 is still in alpha. However a PS4 version would be great for a big screen, for the moment you can plug your PC (however yours, as you said has performance issues) into your TV with HDMI, or if you dont have that, *THE BLUE CABLE* which it's name I forgot years ago. However these things have become near obsolete, due to... incidents. As I was saying, due to the program's Alpha status, even the current PC version is filled with one-off issues, graphical bugs, startup bugs, shutdown bugs, bugs, bugs and yes, even more bugs. If a PS4 version of US2 actually makes it out of Giant Army's studio, I don't think it would be any time soon.
So... Thats the main issues that people are going to come across. A PS version is likely possible, but I don't think the nature of a PS4 and its purposes, specs, etc. meet requirements for a program like US2. However, good things take time, and time takes good things, if you know what I mean. If a PS4 version comes out, it would make my friends very happy. They hate laptops. Oh well.