Gain Scheduled Fault Detection Filter for Markovian Jump Linear System with Nonhomogeneous Markov Chain

In a networked control system scenario, the packet dropout is usually modeled by time-invariant (homogeneous) Markov chain (MC) process. However, from practical point of view, probabilities loss can vary in time and/or probability parameter dependency. Therefore, to design fault detection filter (FDF) implemented semi-reliable communication network, it important consider variation network parameters, assuming more accurate scenario provided nonhomogeneous jump system. Such premise be properly taken into account within linear varying (LPV) framework. this sense, paper proposes new method H∞ gain-scheduled FDF for systems under assumption MC. To illustrate applicability theoretical solution, numerical simulation presented.