H∞ Fault Detection for Uncertain Delta Operator Systems with Packet Dropout and Limited Communication

This paper investigates the problem of H-infinity fault detection for delta operator formulated systems with time-delay, data dropouts and communication constraints. The considered networked control systems are modeled as parameter uncertain systems with stochastic packet dropout meeting Bernoulli distribution. Sufficient conditions for the asymptotical stability of the residual systems with H-infinity performance are presented in terms of Lyapunov functional approach in delta domain. The parameters of the designed filter which can guarantee the robustness of residual systems to the unknown disturbances are obtained by linear matrix inequalities. A numerical simulation is given to show the effectiveness of the addressed method.