Request: How to Create Automated Filter Sweep Effect

I'd like to create an eq filter sweep similar to this video: https://www.youtube.com/watch?v=t0avJ7X2sDk.
 
What stock eq would you use and how do you automate it like in that video?

I actually wouldn't use an eq for that, I'd do it the easy way.
 
All that effect is is a filter sweep with a high or moderately high Q, peak or presence, whichever term you prefer. It's been around for decades...
 
Pick a synth that can process audio input that has a filter with a Q setting that makes it whistle or whoosh when played (i.e. the filter resonates). Then back the Q off a bit. Then automate the filter frequency using track automation or an LFO in the synth itself. As well as automating the filter for the main frequency swoops try faster, more gentle modulations of the filter frequency at the same time. Same goes for the Q.
 
The most commonly used filter type for this is a high-pass, but bandpass and lowpass can do interesting things as well. The high Q generates that peak at the filter frequency, then the filter's rejection of frequencies outside it's setting makes the steep fall off.
 
Sometimes feeding a little white noise into the filter with the audio helps, sometimes it doesn't.
 
Waves' One Knob Filter is pretty good at this sort of thing and is often on sale.
 
The traditional tool for this kind of thing would be a voltage controlled filter which doesn't suffer from the "stepping" you might hear with a MIDI controlled one as the frequency increases. The "automation" then being done either with a control voltage source (e.g. an LFO) or by a human turning the relevant knobs.

I think that most answered the title of the post correctly, "how to create an automated filter sweep".
 
But the OP did ask the question "What stock eq would you use and how do you automate it like in that video?".
 
An EQ sweep is not a filter sweep, but it is an interesting effect.

So someone has now attached their name to a bog-standard effect? I didn't know you could do that. Cool. From now on, please refer to static high-pass filtering as the "Bitflipper Effect".  I will leave naming rights open for compression and reverb.
 
Serious answer: literally any EQ with a "Q" or "resonance" setting can do exactly what's being demonstrated in the video. However, I'd suggest biFilter2, as this is just the kind of effect it was designed for.

For the synth route, the classic z3ta+ as an audio FX (be sure to test both to get the right one) would be a stock option as well.