H∞ fault detection for nonlinear networked systems with multiple channels data transmission pattern

This paper is concerned with fault detection for a class of complex networked control systems. By introducing transmission matrix, nonlinear delayed Markovian jump systems model with partially unknown transition probabilities are established by multiple channels data transmission framework. Based on the obtained model, mode-dependent fault detection filters are used for residual generator, the addressed fault detection problem is converted into nonlinear H∞ attenuation problem. Then the desired mode-dependent fault detection filters are constructed in terms of linear matrix inequalities such that the fault detection systems are stochastically stable with H∞ attenuation level. A numerical example is given to demonstrate the effectiveness of the proposed design approach.