With　the　continuous　increase　in　the　penetration　of　renewable　energy　resources,　such　as　wind　power,　into　power　grids,　fluctuations　in　power　output　introduce　significant　challenges　to　the　power　grid＇s　safe　and　reliable　operation.　The　hybridization　of　energy　storage　technologies　effectively　stabilizes　fluctuations　from　wind　power.　This　paper　proposes　a　hybrid　energy　storage　control　strategy　based　on　an　adaptive　wavelet　decomposition　and　fuzzy　control　theory.　Firstly,　to　meet　the　fluctuation　requirements　for　the　power　output　from　wind　farms,　a　wavelet　packet　decomposition　approach　is　used　to　determine　the　grid-connected　wind　power　and　power　allocation　for　different　energy　storage　techniques　by　considering　the　power　output　characteristics　and　lifecycles.　Secondly,　the　use　of　prediction　results　from　the　energy　storage　power　output　combined　with　a　two-layer　fuzzy　controller　enables　advanced　control　of　the　energy　storage　system　and　optimal　operation　of　the　power　output　for　different　types　of　energy　storage　systems.　The　results　show　that　the　proposed　strategy　can　effectively　be　applied　to　suppress　the　second-level　wind　power　fluctuations　and　allocate　the　output　of　the　hybrid　energy　storage　system.　Furthermore,　this　approach　eliminates　possible　limit　violation　phenomena　while　operating　the　energy　storage　device　to　achieve　optimal　coordination　for　different　energy　storage　systems　considering　the　lifecycles　of　the　energy　storage　device.　©　2019　Author(s).