Fault Detection Filter Design for a Class of Networked Control Systems

This paper deals with the problem of fault detection filter (FDF) design for a class of networked control systems under considering both the network-induced time delay and data dropout. A novel form of an observer-based hybrid FDF is introduced to be the residual generator. Under the assumption of network-induced time delay being time-varying and bounded, the FDF design problem can be transformed as an H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> -optimization problem for linear systems with interval time-varying delay. A delay-dependent sufficient condition is derived by using Layapunov-Krasovskii approach and an associated solution of the problem can be obtained by solving a set of linear matrix inequalities (LMIs). A simulation example is given to demonstrate the effectiveness of the proposed method.