Fault detection for delta operator systems with packet dropout and limited communication

Abstract

Considering time-delay networked control systems with packet dropout and limited communication, the fault detection is studied via delta operator. Depicting the model of data losses as Bernoulli distribution and exploiting limited output channels for data transmission, an H ∞ fault detection filter and a residual generator are developed on the basis of the state observer. Then, sufficient conditions for the residual systems to be asymptotically stable and ensure the H ∞ performance index are given in terms of Lyapunov functional technique and linear matrix inequalities (LMIs) approach in delta domain. The designed filter can ensure that the residual signal is sensitive to failures. Finally, the applicability of the presented method is demonstrated by a simulation example.