Abstract
In this paper, the problem of distributed fault detection and isolation (FDI) for multi-agent systems (MAS) with complex-weights directed communication topology in the presence of actuator faults is studied. It is assumed that each agent only has access to local state information of neighboring agents. The communication network is also assumed to be a weights directed graph (digraph) whose edges are attributed with complex weights. First, a novel representation of the complex-weighted graph is proposed. More specifically, the difficulty with complex coefficient in the problem of FDI for MASs with complex-weights directed communication topology is indeed resolved. Then, using the novel representation, a bank of observers is constructed to compute residual vectors with an aim of allowing the FDI of actuator fault to occur on any agent of the MASs. It is proved that the proposed FDI scheme is capable of FDI in the MASs with complex-weights directed communication topology. Finally, some numerical example results are provided to demonstrate the effectiveness of the proposed scheme.
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