Subwoofers with room correction built in?

True room correction is not totally true even in a preamplifiers 
it Averages , Svs has several ANalog Devises 52 bit processors a great app , and you can fir free down load a subwoofer room correction program ,just buy a USB Mike ,  call Svs they can educate you on it to truly flatten your room acoustics 
2 subs are by far better then one also.

Vandersteen Sub 3 11 band EQ same adjustable as Quatro,Kento and 7s

Enjoy the Music 

Tom

   You didn't mention much about your overall system or if it is your first venture into adding a sub to your system? One of the most challenging projects of all. If this is your first attempt of adding one or not, room correction may be important but not the primary concern.
   So many factors to consider......room acoustics, placement of sub(s), etc. Seems that getting the basic performance should be of primary focus before fine tuning with room correction. You may want to seek advice from millercarbon who has lots of good advice about subs, especially the use of multiple subs.
   Please don't infer that I think you're new to subs but your original post didn't give many details. Not intended as an insult but there is quite a lengthy article about subs if you're patient enough to read it.
http://www.soundoctor.com/whitepapers/subs.htm

I had an old velodyne that I replaced this year with a JL Audio 110 with their DSP. Without the DSP it was obviously better, but when I set it up with the DSP,  to me it went up another big, very noticeable notch.

I'm partial to Bowers & Wilkins DB4S.

https://www.bowerswilkins.com/home-audio/db4s 

1000W Class D Hypex amplifier
Aerofoil™ bass cone
Digital preamplifier with Dynamic EQ
App-based set-up and BT-LE control
10Hz – 350Hz -3dB
8.5Hz - 500Hz -6dB

DB Series subwoofers provide optional equalisation presets designed to suit music and movie programme material. Custom equalisation via a five band equaliser is also provided.

I'm not sure about the feet supplied, but SVS SoundPath Subwoofer Isolation System is easily fitted.

No worries with the music and as for movies... well let's just say it can handle anything thrown at it.