Hi Peter,
My solution, which is based around the Lesvedome / VellemanVM110, is to have the main control box mounted on the static part of the observatory. I added an Arduino based controller to the Velleman system. The Velleman board responds to the Lesvedome ASCOM driver and rather than using the Velleman outputs to switch the motor control relays on or off directly, the output signals are picked up by my homebrew Arduino board. This board then controls the motors. I actually use stepper motors but you could just as easily use the Arduino board to control relays to switch DC motors on/off. The big advantage of sending the motor control signals via an Arduino is that you can use fairly cheap wireless modules to send the signals to another battery powered Arduino / relay motor controller mounted on the rotating dome.
I realise this is a bit daunting if you are not comfortable with using Arduinos or similar but it does make for a fairly straightforward solution to automating the dome shutter. My system using stepper motors could be much simplified to become a relay driven system. In fact, thinking about it you could use the classic Lesvedome VM110 relay circuit for the dome rotation and all you would need to add for remote shutter control would be two ready made boards, Sparkfun Teensy 3.1 XBee adapters available from Cool Components in the UK, together with the Teensy 3.2 and XBee modules and probably a relay board.
If this is of any interest please send me a PM and I will be happy to give you more details.
Regards, Hugh