Finite frequency fault detection for networked systems with access constraint. (English) Zbl 1373.93348
Summary: This paper addresses a fault detection strategy in finite frequency domain for networked system with communication constraints and packet loss. The considered communication constraint is that only one data packet can gain into the networks at each time-slot, and the fault detection filters complete the task with only partially available measurements. With consideration of the data packet loss and the stochastic scheduling protocol, a nonhomogeneous Markov jump system is firstly derived to describe the networked systems. For this class of systems, the generalized Kalman-Yakubovic-Popov lemma-based finite frequency fault detection filter design methods are invalid. To tackle this problem, a new mode-dependent lemma is developed to capture the system performance in finite frequency domain. Further, a set of fault detection filters are designed corresponding to the accessed nodes accordingly. Finally, an example is given to show the effectiveness of the proposed fault detection approach.
MSC:
| 93E11 | Filtering in stochastic control theory |
| 93E10 | Estimation and detection in stochastic control theory |
| 93E03 | Stochastic systems in control theory (general) |
| 90B15 | Stochastic network models in operations research |
| 60J75 | Jump processes (MSC2010) |
| 90B36 | Stochastic scheduling theory in operations research |
Keywords:
fault detection; finite frequency; network-induced constraints; multi-packet transmission; nonhomogeneous Markov processReferences:
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