Electrical and/or Smart Home Help

[jonumberone]

When I'm finished smoking downstairs in my lounge I like to leave the fan on for another 15 min or so to continue to clear the smoke.
I'm looking for a way to remotely control the fan, so I don't have to go up and down the stairs to shut it off. Using a voice command through Amazon Echo would be even better.

This is my fan

And this is the switch I'm currently using

The whole Solid State controller is what's throwing me off. I can't seem to wrap my head around what it means.

My question is would I be able to use this switch to control my fan?
I am willing to sacrifice the adjustable range to have remote access.
I figure 3 speeds will serve my purposes just fine.
If there's another switch that will work better, please let me know. it just needs to be compatible with Samsung Smartthings hub.

Thanks in advance.