This　paper　studies　an　active　fault-tolerant　control　problem　for　multi-UAV　(unmanned　aerial　vehicle)　system　with　time-varying　topology　subject　to　actuator　failures.　A　polytopic　model　is　used　to　construct　the　time-varying　topological　structure.　Based　on　the　quantitative　estimation　method　of　actuator　faults＇　upper　limit,　an　adaptive　fault-tolerant　tracking　control　strategy　is　established　by　an　active　adjusting　control　parameters　to　compensate　for　unknown　actuator　faults,　so　as　to　obtain　consensus　tracking　under　time-varying　topology.　Furthermore,　the　comparison　simulations　with　the　traditional　control　algorithm　are　given　to　demonstrate　the　effectiveness　of　the　obtained　results.　The　tracking　control　strategy　in　this　paper　has　better　fault　tolerance　performance　with　short　tracking　time　and　superior　robustness.