Fault detection for networked control systems with (x, v)-dependent noises and multiple packet dropouts

This paper investigates the fault detection problem for a class of networked control systems (NCSs) with state- and disturbance-dependent noises (also called (x, v)-dependent noises) and multiple packet dropouts. The phenomenon of packet dropouts is governed by a diagonal matrix consisting of a series of mutually independent random variables which satisfy binary distributions with possibly different probabilities. By using the stochastic analysis approach and the linear matrix inequality technique, a fault detection filter is designed which guarantees the stochastic stability in mean square of the overall fault detection dynamics with a prescribed H_∞ performance constraint. An example is provided to illustrate the effectiveness of the obtained results.