Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes

In this paper, the fault detection problem for a class of continuous-time Markovian jump systems is considered. A residual generator is constructed by a fault detection filter. The corresponding fault detection and isolation (FDI) problem is converted into an H
_∞
filtering problem by minimizing the error between residual and fault in H
_∞
sense. Particularly, the filter designed here is neither mode-dependent nor mode-dependent, whose operation mode is partially available but unmatched. Sufficient conditions for the existence of an FDI filter are derived in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential application of the developed theoretical results.