To　solve　the　problem　of　low　accuracy　and　frequent　controller　updates　in　the　furnace　temperature　control　of　municipal　solid　waste　incineration　process,　a　novel　method　of　furnace　temperature　control　method　based　on　the　event-triggered　mechanism　RBF–PID　(ET–RBF–PID)　is　proposed.　Firstly,　the　RBF–PID　controller　is　constructed,　the　network　parameters　are　updated　by　gradient　descent　algorithm　and　recursive　least　squares　algorithm.　At　the　same　time,　the　square　of　momentum　factor　and　the　momentum　term　of　parameters　are　introduced　to　update　the　controller　parameters,　so　as　to　improve　the　control　accuracy.　Secondly,　a　fixed　threshold　event-triggered　condition　is　designed　as　the　controller　update　condition　to　reduce　the　mechanical　wear　caused　by　frequent　controller　updates.　Finally,　the　furnace　temperature　control　simulation　experiments　are　conducted　based　on　the　actual　data　of　a　municipal　solid　waste　incineration　plant　in　Beijing.　The　experimental　results　show　that　the　designed　ET–RBF–PID　controller　can　accurately　track　the　furnace　temperature,　the　ET–RBF–PID　controller　can　reduce　the　number　of　controller　updates　significantly　while　achieving　accurate　furnace　temperature　control　compared　with　the　traditional　time-triggered　PID　controller　and　RBF–PID　controller.　©　2022　South　China　University　of　Technology.　All　rights　reserved.