As　an　important　extension　of　periodic　structures　and　phononic　crystals,　elastic　wave/acoustic　metamaterials　can　show　negative　effective　parameters　for　special　frequency　regions.　Although　the　active　control　method　is　widely　applied　to　the　vibration　isolation　and　elastic　wave　propagation,　little　attention　has　been　paid　on　changing　elastic　wave/acoustic　properties　of　metamaterials.　In　this　work,　a　new　kind　of　elastic　wave　metamaterials　combined　with　the　automatic　control　system　is　presented.　Propagation　behaviors　of　the　elastic　wave　are　discussed.　To　demonstrate　the　effect　of　the　active　feedback　control,　the　stop　band　properties,　tunable　negative　effective　mass　and　control　system　stability　are　considered.　The　results　show　that　the　negative　acceleration　feedback　control　can　enhance　the　frequency　region　that　creates　the　negative　effective　mass.　Moreover,　the　stability　of　this　periodic　structure　can　be　achieved.