For　a　semiactive　or　active　control　system,　although　there　are　many　classic　algorithms　available,　their　applicability　and　control　efficiency　are　not　ideal　due　to　systematic　features　of　nonlinear　behavior,　time　variable　and　parameter　uncertainties.　On　the　contrary,　since　fuzzy　control　systems　are　mathematical　models　free,　these　difficulties　can　be　overcome.　Therefore,　many　researchers　have　adopted　fuzzy　logic　approach　for　structural　control.　This　is　very　useful　for　structural　vibration　control.　However,　fuzzy　control　theory　still　lacks　a　systemic　design　guidance　to　set　up　the　corresponding　rale-bases　at　present,　and　accordingly　the　rule-bases　need　often　be　revised　repeatedly.　In　order　to　solve　this　problem,　a　new　idea　for　structural　control,　i.e.　the　off-and-towards-equilibrium　(OTE)　control　strategy,　is　presented　and　developed　in　this　paper.　For　a　fuzzy　control　system,　a　set　of　rules　can　be　extracted　easily　on　the　basis　of　the　idea.　In　this　paper,　numerical　simulations　are　carried　out　to　study　the　seismic　response　control　of　a　multi-storey　structure　with　an　active　tendon　system　(ATS)　installed　in　the　first　storey,　and　the　rule-bases　of　the　corresponding　fuzzy　control　system　according　to　the　OTE　control　strategy　are　established.　Simulating　results　verify　its　rationality　and　validity　by　comparing　the　earthquake　responses　of　the　structure　using　the　OTE　strategy　during　the　earthquakes　to　those　using　the　LQR　algorithm.