Multi-indexes robust fault detection of aircraft networked control systems

The problem of multi-indexes robust fault detection was investigated for aircraft networked control systems with short Markov delays and partially known transition probabilities. The conventional fault detection method for Markovian jump systems sees fault, input and disturbance as a generalized input, and then a H_∞ index was considered for fault detection filter design. The index has not an explicit physical meaning, so the multi-indexes fault detection filter design method should be studied. The aircraft networked control systems was modeled as discrete, finite-state Markovian jump systems by describing networked induced delays as a finite-state Markov chain. Considering the sensitivity to fault and the robustness against disturbances and inputs on residual, the solvable condition of the multi-indexes fault detection filter and further the solutions were derived by using the linear matrix inequality techniques. The effectiveness and superiority of the proposed method were illustrated by a numerical example.