In　various　conditions　of　blood　demand　of　circulatory　system,　the　autonomic　regulations　system　of　body　regulates　the　heart　rate　(HR)　to　maintain　the　arterial　pressure　(AP)　constant,　where　the　HR　is　considered　as　the　controlled　variable　indicating　the　blood　demands　of　the　circulatory　system.　Therefore,　model-free　adaptive　controller　is　used　to　regulate　the　pump　speed　based　on　the　HR.　As　a　key　feature,　the　proposed　controller　provides　a　defined　and　adjustable　HR　and　automatically　regulates　the　pump　speed　according　to　the　status　of　circulatory　system.　A　mathematic　model　of　the　cardiovascular-baroreflex　system　is　used　to　describe　this　mechanism　and　to　test　the　controller　in　the　presence　of　failing　left　ventricle　and　slightly　physical　active.　The　simulation　results　demonstrate　that　the　HR　is　kept　stable.　Furthermore,　no　matter　the　peripheral　resistance　disturbance　or　the　change　of　the　desired　HR,　the　settling　time　of　the　controller　is　＜5　seconds　without　overshoot　or　static　error.　ASAIO　Journal　2011;　57:262-267.