i can take it u have invested a huge portion of your retirement money in 9V batteries. lol.
knobs and switches are the ideal controls for low power consumption, and can even be adjusted with no power. the option of sliders fits into that category, but space doesnt allow for the best use of these, unless u playin an Alembic (sorry malthumb, but those things are huge and would actually accomodate something like that with relative ease).
actually on acoustic/electric guitars there are slider controls on the top of the body because the width of the hollow body allow for that.
but screens and mouse controls. power, and they have to be on to adjust. maybe u could with rechargeable battery packs a la every portable device (phones ipods etc) but count the times you forgot to charge ur phone or ipod and went to use it and it was dead. Big deal, no tunes or no calls. Not the situation u'd want at a gig.