This is called something like "Power return" or "Power Resume" and the simple fact is some tv's have it and some don't.
If there's any kind of "setup" menu on your tv, check there, or check the manual to see if it has that option.
Essentially, what you want is for the TV to "resume" whatever power state it was in when power was interrupted.
That way, you just leave the TV ON, and it'll always come back on when you turn power on to the cab.