Aiming　at　the　problem　that　the　traditional　control　has　a　limited　control　bandwidth　and　delays　in　digital　implementation,　a　novel　generalized　inverse　control　of　three-phase　active　power　filter　is　studied　in　this　paper.　And　the　generalized　inverse　system　can　be　approximated　by　LS-SVM　due　to　the　fast　operational　speed　of　LS-SVM.　On　the　other　hand,　since　the　traditional　algorithm　has　slow　convergence　rate　and　that　the　adaptive　method　with　LPF　has　the　drawback　of　slow　dynamic　response;　an　improved　adaptive　method　for　harmonic　detecting　based　on　integrated　mean　value　is　researched　in　this　paper.　In　order　to　have　a　good　linearization　control　effect,　the　generalized　pseudo-linear　system　can　be　obtained　by　internal　model　and　the　generalized　inverse　system.　At　last,　the　simulation　results　show　that　a　good　steady-state　performance　and　a　rapid　transient　response　can　be　obtained　under　the　improved　method.　©　2010　IEEE.