A　ratio-dependent　predator-prey　system　with　Holling　type　III　functional　response　and　feedback　controls　is　proposed.　By　constructing　a　suitable　Lyapunov　function　and　using　the　comparison　theorem　of　difference　equation,　sufficient　conditions　which　ensure　the　permanence　and　global　attractivity　of　the　system　are　obtained.　After　that,　under　some　suitable　conditions,　we　show　that　the　predator　species　y　will　be　driven　to　extinction.　Examples　together　with　their　numerical　simulations　show　that　the　main　results　are　verifiable.