Choice of inverter for 17 inch monitor

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Hie everyone, for my next project i am working in a telepresence robot for hardware i have
GA-D525-TUD Mini itx, 1.8ghz intel atom D525
RAM- 4Gb
HDD- 320Gb SATA
160W dc-dc psu (cheapest one i could find)
12v 12AH SLA Battery 
17 inch L1710S monitor (Rated at 1 A) 

Power consumption Spec:

Power Supply

  • internal
  • Power Consumption Operational
    30 Watt
  • Power Consumption Stand by / Sleep
    2 Watt

 

 

 

I am pretty much sorted for the brains of the robot. What sort of wattage do you recommend for an inverter? I am looking for a dc-ac inverter and this is what i have found so far: 

http://www.ebay.com.au/itm/75W-AC-220V-110V-to-DC-12V-Power-Converter-Adapter-Car-Inverter-with-USB-Interfa-/380913400480?pt=AU_Kitchen_Scales&hash=item58b0353aa0&_uhb=1

http://www.ebay.com.au/itm/220W-USB-12V-DC-to-AC-220V-Car-Auto-Vehicle-Power-Inverter-Adapter-Converter-SS-/261498029487?pt=AU_Boat_Parts_Accessories&hash=item3ce27f45af&_uhb=1