Controller for Two Different Sources of AC

Yes, this is certainly possible. A properly sized variable frequency drive (VFD) can produce whatever frequency your machines require. These devices can also provide multiple phase configurations if one purchases the correct unit.

Unfortunately the crux of your problem is the miniscule amount of useful information provided. I recommend you hire an electrical engineering consultant in your location with control theory background for this project. They will size the correct VFD units (or possibly simpler solutions) and the proper control circuitry (PLC?) to read your multiple signals in an accurate fashion.

I am a little confused, what is the voltage and frequency of the signals and why are they being simultaneously combined?

What equipment is providing the input signals and what is/are the output signal(s) actually controlling?

Can you please provide more information and perhaps a picture? Is this a theoretical question or an actual real world application.

I think what you want is a transfer switch...

https://en.wikipedia.org/wiki/Transfer_switch

Learn how to make MIMO (multiple input multiple output) controllers.

Hire a local Electronics Engineer?

Read the research from Dr. Rezkallah. He solves these type of problems for microgrids driven from various sources such as windmills, solar, diesel generators...

He has equipment from 5kw to 50kW in his lab. His contacts with industrial partners allow him reach the MW if necessary.

Research in micro-grids

https://scholar.google.ca/citations?user=0CmzkOcAAAAJ&hl=en

Is this for yourself or someone else? There are laws prohibiting designing for someone else without a license. Is this really a need or a want? You have given us very little information to go on.

It seems no one is quite sure of your description, but that happens a lot.

In some cases, there are applications where related processes must have different drives at different speeds by design. Think of a printing press where the spindles rotate at different speeds depending upon how much paper is on the feed or finished rolls.

Another example might be that of a "flying saw" which cuts extrusions on the fly.

There are several PLC's that can manage this with high accuracy. In most cases, someone else has already solved this problem. When I am looking for examples, I sometimes have a hard time finding the magic search words, but eventually I hit upon them. Sometimes I come here for ideas of where to look.

If you want good help, you have to help too.

Favor hablar inglés.