Distributed fault estimation of networked systems using quantized measurements

Abstract

This paper is concerned with the problem of distributed fault estimation for networked systems using quantized measurements. In the proposed distributed scheme each estimator provides a fault estimate by adopting both its local measurement and information from neighbors, which are quantized before transmission due to the limited bandwidth resource. A sector bound approach is firstly introduced to handle the quantization error. Then the dynamics of estimation errors are modeled as a system with uncertainties. Based on the Lyapunov stability theory, a sufficient condition is derived such that the estimation error system is asymptotically stable and achieves a prescribed H∞ noise attenuation performance. A convex optimization problem is formulated for designing the desired distributed estimators. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed design method.