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Microgrid (MG) is an effective means to achieve flexible management and control of distributed power sources. Compared with the traditional centralized secondary control method, the distributed coordinated secondary control strategy has higher flexibility and reliability. Nevertheless, few fault-tolerant distributed secondary voltage control strategies for isolated MGs considered event-triggered control mechanisms. This article proposes two event-triggered fault-tolerant control (ETFTC) algorithms for voltage restoration in MGs. The algorithms consider the presence of bias faults in the actuators of the distributed generators (DGs). First, an ETFTC algorithm is proposed considering the case where the communication graph is known. The algorithm eliminates the continuous communication constraint with neighboring DGs based on avoiding the constant updating of the controllers. Next, an adaptive ETFTC algorithm that is independent of the global information of the network graph and fault factor boundaries is proposed for the case where the directed topology is unknown. Furthermore, the algorithms can be applied to general linear multi-agent systems (MASs) tracking control systems. In the end, to evaluate the performance of the proposed distributed ETFTC algorithms, a simulation study was conducted in the MATLAB/Simulink environment.