Not sure what you are trying to do here. We do have PMP9640 which can take the AC input down to a DC bus, then if you follow that with PMP9461 , this might be what you are looking for.
If you don't require precision regulation a simple 2:1 transformer…
We do not have any examples of bi-directional flyback with analog control unfortunately but perhaps something similar to PMP9461 would be more suitable for your application: http://www.ti.com/tool/PMP9461
Please take a look at PMP9461 . The parameters in the design are 25-40Vdc input and 275Vac output, but you should be able to use this design as a base and modify it to for your specifications.
I hope this post has helped address your need. If it…