Adaptive technique-based distributed fault estimation observer design for multi-agent systems with directed graphs

In this study, under the directed communication topology, an adaptive observer-based distributed fault estimation observer (DFEO) is studied with the use of a linear matrix inequality (LMI) for multi-agent systems. Firstly, for each agent, a corresponding fault estimation observer is constructed based on their relative output estimation errors. To consider DFEO design from an overall perspective, the whole error dynamics is obtained by defining global error vectors. Then an adaptive technique-based DFEO design is proposed for multi-agent systems with directed communication topology. Moreover, the proposed design can be represented with LMIs to establish a systematic design procedure. Finally, simulation results are presented to illustrate the effectiveness of the proposed design techniques.