dbake:
Advise me what is the best model to operate this system?What additional parts I would need? shields? relays? Etc
How many motors to control?
What type of motor are they?
What is the rated current and voltage of those motors?
Do they need speed/direction control?
How are those motors wired exactly?
How are the microswitches wired exactly?
What is the power source for all this?
When you have the above all figured out in detail, we may be able to suggest appropriate motor drivers and other hardware for your system. You will then have to try and wire up each and every motor individually to figure out its wiring, its settings, and how to actually control it so it works the way you want to do.
Would anyone be able to assist in the programming?
What is the exact order of events? (press button a, run motor b for c seconds at speed d until it reaches switch e - etc)
How to prevent the motors from hard driving into stops and damaging stuff?
How to prevent the motors from breaking other things - e.g. a person in between the ramp and the doorframe?
When you have all of this written down in detail, go to your local makerspace and befriend someone that's experienced in programming and motor control, and who is happy to fiddle with this system to not only get it working but also get it safe and reliable, and all hopefully in a time span that allows the patient to still be around and able enough to enjoy the fully working ramp when this person is done.
That is, if there's someone willing to take the risk... malfunction is potentially pretty damaging to property and/or life!