Fault detection for networked control systems with multiple packet dropout based on Markovian jump systems

In this paper, the networked control systems with periodic packet dropouts are treated as a varying sampling rate system. Referring to the non-periodic packet dropout that can be described as a Markov process, the varying sampling rate networked control system can be modeled as a discrete-time Markov jump linear system. A fault detection filter is established based on this model, and the corresponding fault detection problem can be translated to an H∞ filtering problem. A sufficient condition to solve this problem is given in terms of the linear matrix inequalities. A networked flight control system is considered to validate the effectiveness of the proposed method, and the parameters of the filter are given by using Matlab LMI Toolbox.