Distributed Fault Estimation for Time-Varying Multi-Agent Systems With Sensor Faults and Partially Decoupled Disturbances

This paper is concerned with the problem of distributed fault estimation for time-varying multi-agent systems (MASs) with sensor faults and partially decoupled disturbances. An augmented system is constructed where the augmented state vector contains system states and sensor faults, and assumptions on the fault are not necessary. By using the information of adjacent agents, an unknown input observer (UIO) for the ith agent can be designed to decouple the disturbances as much as possible and attenuate the influence from the disturbances that cannot be decoupled. The desired parameters of the UIO can be derived via solving recursive linear matrix inequalities over a finite horizon. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.