The　resilient　secure　consensus　problem　of　the　multi-agent　systems　subject　to　attacks　is　considered　here.　Considering　that　the　states　of　the　agents　may　be　unavailable,　an　observer　is　designed　for　each　agent.　On　the　basis　of　the　designed　observer,　an　observer-based　controller　is　designed　for　each　agent.　By　making　limitations　on　the　duration　and　the　occur　frequency　of　the　DoS　(denial-of-service)　attacks,　sufficient　conditions　ensuring　the　consensus　are　developed.　The　presented　sufficient　conditions　are　given　in　the　form　of　LMIs,　which　are　easy　to　solve　and　check.　Moreover,　a　microgrid　test　systems　consisting　of　several　distributed　generators　(DG)　is　adopted　for　verifying　the　validity　of　the　developed　strategy.　©　2023　IEEE.