Finite Frequency Fault Diagnosis for Heterogeneous Multi-agent LPV Systems

Abstract

This paper addresses the problem of distributed fault detection and isolation (FDI) observer design in finite frequency domain for a class of heterogeneous multi-agent linear parameter-varying (LPV) systems. For this purpose, each agent uses an unknown input observer (UIO) as the FDI module which generates the residual signal. The proposed distributed FDI problem is formulated as a multi-objective optimization problem based on low frequency $\mathcal{H}-{\infty}$ and $\mathcal{H}-{-}$ performance indices to respectively measure disturbance robustness and fault sensitivity. Sufficient conditions for designing the FDI observers are obtained based on linear matrix inequality (LMI) conditions. It is shown that based on the constructed residual signals each agent is capable of detecting and isolating its own faults and also its neighbors' faults. Finally, a numerical example is provided to demonstrate the applicability of the proposed design framework and its advantages over other approaches. - 2019 IEEE.