Fault detection for networked systems with variable packet dropout rate

The paper focuses on the H∞ fault detection problem for a class of networked systems with intermittent measurements. The fault detection filter (FDF) design is formulated as an H∞ filtering problem by using a FDF. The random packet dropouts, which are described by a Bernoulli distributed sequence, are considered to exist in the communication channels. The packet dropout rate (PDR) is uncertain and variable, which is described by a Markov stochastic process. Based on mode-dependent Lyapunov function, sufficient conditions on the existence of a desired FDF are presented such that the filtering error system is stochastically mean-square stable with a prescribed H∞ disturbance attenuation level. Finally, an illustrative example is provided to demonstrate the effectiveness of the designed filter and the necessity of taking the uncertainty and variation of PDR into account in the design process.