Are those the same as “Roman blinds“? If so, there are multiple brands offering motorized ones, it’s a popular design, but they do tend to be from the more expensive brands like Lutron and Levolor. I haven’t seen any retrofit options for this style. Hopefully if someone knows of one they’ll post. 
Most of them now have at least Alexa integration, so you can get partial one way integration that way through Alexa routines, but that may not be very satisfactory.
I think your best bet for Roman blinds is just to start with the smartthings app and view the list of “window treatments“ available there and see who has a model you like that already offers an integration.
But again, if someone else knows of something, hopefully they will post.
Oh, and it would help to know what country you are in, as the device selection does vary.