Fault Detection for Networked Systems with Incomplete Measurements

This paper investigates the fault detection problem for a class of discrete-time networked systems. Three kinds of typically encountered incomplete measurements induced by the limited-capacity communication channel are simultaneously considered, which include 1) measurements with communication delays; 2) measurements with data missing; and 3) measurements with signal quantization. Attention is focused on the analysis and design of a full-order fault detection filter such that, for all admissible unknown inputs and incomplete measurements, the error between residual and fault is kept as small as possible. Sufficient conditions for the existence of the desired fault detection filter are first established in terms of certain linear matrix inequalities (LMIs), then the explicit expression of the desired filter is characterized when these LMIs are feasible. A simulation example is provided to illustrate the effectiveness and applicability of the proposed method.