Distributed　cooperative　secondary　control　(DCSC)　based　on　droop　control　is　an　effective　solution　for　the　stable　and　efficient　operation　of　the　DC　microgrids　(MGs),　and　has　received　extensive　attention　in　recent　years.　Aiming　at　the　defects　of　traditional　droop　control,　this　paper　focuses　on　the　improved　distributed　cooperative　droop　control　method　in　DC　microgrid　from　two　aspects:　asymptotic　consensus　algorithm　and　finite-time　consensus　algorithm.　Furthermore,　the　communication　problems　faced　by　distributed　cooperative　control　and　the　corresponding　solutions　are　analyzed.　Finally,　concluding　remarks　are　drawn　and　some　potential　research　directions　are　suggested.　©　2019　IEEE.