Guo　et　al.　(Phys　Rev　A　91(2):022321,　2015)　introduced　the　feed-forward　control　to　realize　a　better　effect　of　discrimination　of　two　non-orthogonal　states　against　noise.　However,　the　better　effect　of　discrimination　is　achieved　in　a　probabilistic　way.　To　solve　the　problem,　we　introduce　the　feedback　control　to　discriminate　two　non-orthogonal　states　against　noise.　It　is　shown　that　it　can　improve　the　effect　of　discrimination　for　any　pair　of　non-orthogonal　states　and　any　strength　of　amplitude　damping　noise　largely　in　a　deterministic　way.　In　particular,　our　optimum　probability　of　discrimination　can　be　higher　than　that　of　discriminating　two　initial　non-orthogonal　pure　states　for　not　only　equal　a　priori　probabilities　but　also　unequal　a　priori　probabilities.　We　also　examine　the　approach　in　the　presence　of　different　noise　sources　and　find　it　works　well　for　all　typical　types　of　noise　sources　ranging　from　a　single　type　of　noise　to　the　combination　of　different　types　of　noise.