This　paper　is　concerned　with　the　problem　of　fault　detection　and　consensus　control　via　event-triggered　scheme　for　a　class　of　linear　multi-agent　systems　subject　to　external　disturbances.　For　the　network　of　multi-agent　systems　with　unknown　faults　and　disturbances,　the　event-triggered　consensus　protocol　and　observer-based　fault　detection　filter　are　designed　simultaneously.　Through　the　model　transformation　and　decomposition,　the　specific　design　problem　can　be　transformed　into　a　multi-objective　optimization　problem　by　using　a　mixed　H∞/H−　method.　Based　on　the　Lyapunov-Krasovskii　Theory　and　Projection　Lemma,　some　sufficient　conditions,　which　ensure　the　decomposed　system　is　not　only　asymptotically　stable,　but　also　satisfies　the　prescribed　optimization　performance　constraints,　are　derived　in　the　form　of　linear　matrix　inequalities.　Finally,　two　simulation　examples　are　provided　to　verify　the　practicality　and　validity　of　the　theoretical　results.　©　2021　The　Franklin　Institute