The　state　space　model　of　shunt　APF　(Active　Power　Filter)　is　established　based　on　compensation　principle,　which　takes　the　load　harmonic　current　as　disturbance　and　the　power　system　harmonic　current　as　the　expected　output.　With　the　consideration　of　the　additive　norm-bounded　variation　of　controller　parameters,　the　non-fragile　FL　controller　for　shunt　APF　is　designed　by　applying　LMI　(Linear　Matrix　Inequality)　technology.　Simulative　results　show　that,　the　stability　and　the　compensation　effect　of　shunt　APF　with　the　designed　non-fragile　FL　controller　are　ensured　when　controller　parameters　vary,　while　the　compensation　effect　of　shunt　APF　with　FL　controller　is　deteriorated.