Have done it using a 2,000 watt true sine wave. NOTE if your 200 watt is an MSW (many are) it may work just fine. or not... (MSW can cause "Radio interference" all the way up into UHF television land.... Or not... Depending on how well built you won't know till you try).
One thing to consider is how much power it sucks. With batteries we talk about amp horus and the USABLE power can be as low as 25% of the battery's C/20 rating (IE 25 amp horus for most Group 27/29 size) or as high as 50% for True Deep cycle (like over 100 amp hours for a pair of GC-2 Or nearly 100% for LiFePo4.
If the TV draws 100watts that's about 1 amp at 120 volt and about 10 at 12 volt. so 100 amp hours of battery would run it about 2 horus.