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Fault detection for networked control systems subject to quantisation and packet dropout. (English) Zbl 1278.93236

Summary: This article addresses the Stochastic Fault Detection (SFD) problem in finite-frequency domain for a class of Networked Control Systems (NCSs) with respect to signal quantization and data packet dropout. Considering a logarithmic quantizer and Markovian packet dropout, the NCS is modeled as a Markov Jump Linear System (MJLS) with quantization error. Further, a new definition of finite-frequency stochastic \(H_{-}\) index is given to measure sensitivity. Subsequently, sufficient conditions are derived to guarantee that the MJLS can achieve such a performance. By virtue of the obtained conditions, the Fault Detection Filters (FDFs) are designed in finite-frequency domain, which are valid in characterizing the disturbance attenuation performance and finite-frequency fault sensitivity performance. Finally, a simulation example is given to illustrate the method and its effectiveness.

MSC:

93E03 Stochastic systems in control theory (general)
60J75 Jump processes (MSC2010)
94C12 Fault detection; testing in circuits and networks
93E11 Filtering in stochastic control theory
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