Topology　control　protocol　aims　at　efficiently　adjusting　the　network　topology　to　improve　the　performance　and　scalability　for　networks,　for　example,　spanner　topology　characteristics　can　decrease　communication　links　and　ensure　that　the　distance　of　any　pair　of　communication　nodes　is　only　within　a　little　increase　from　that　in　the　original　communication　graph.　This　is　especially　essential　to　large-scale　wireless　ad　hoc　networks,　which　can　be　the　front-end　of　ubiquitous　Internet　of　Things　(IoT).　Since　nodes　failure　is　common　because　of　their　limited　resource,　a　large　number　of　previous　works　focused　on　fault　tolerance　topologies　or　fault　tolerance　spanner　topologies.　But　these　topologies　are　no　longer　sparse.　In　this　paper,　we　propose　an　intuitive　solution　to　construct　sparse　and　robust　spanner　topology,　which　builds　a　sparse　spanner　topology　quickly　and　reverts　to　the　required　spanner　topology　rapidly　without　any　outside　intervention　when　any　node　fails.　Extensive　simulations　confirm　the　effectiveness　and　efficiency　of　our　solution.　©　2021,　Springer　Nature　Switzerland　AG.