Abstract
This paper deals with the problem of fault detection for networked control systems in the stochastic environments. The packet dropout, network-induced delay and out-of-order packets due to long delay are assumed to exist stochastically in the sensor-to-controller link and the controller-to-actuator link. By assuming that the stochastic environment could be described as a homogeneous Markovian chain, the networked control system is modelled as a discrete-time, non-uniform sampling stochastic parameter-varying Markov jump system. Based on the model, the residual generator is developed and the problem of fault detection is formatted as a filtering problem. By using the theory of a Markovian jump linear system, a fault detection filter which makes the residual generation system stochastically stable is considered, and a prescribed disturbance attenuation level is satisfied. A sufficient condition to solve this problem is given in terms of the linear matrix inequalities. A numerical example shows that the proposed fault detection filter is sensitive to the fault but robust to exogenous disturbance.
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More From: Transactions of the Institute of Measurement and Control
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