DuxDucis
Well, they're not as advanced as DJ's SDK, but it works for my robot. The one of iOS only has servo control as I started it this weekend. It requires jailbreaking though as Apple can only talk with their approved devices or BLE, and your bluetooth module is not BLE, sorry for that. Anyways here they are
Mac: http://www.mediafire.com/?zr4ogugrylxsds5 The mac version uses MonoMac for GUI, but the underlying library is built on Mono so works on Windows and Linux too.
iOS: http://www.mediafire.com/?ele94a9y8ybz22b For iOS I don't use Xcode, I use theos make system and objective c, if you're willing to jailbreak check it out . To build you need to install BTStack library. If anyone wants Ill make a video of the steps sometime.
Just know, they're primitive, I'm not DJ. But if anyone actually uses it and wants a feature I can add it.