Fault detection for networked control systems subject to quantisation and packet dropout

• Published in: International journal of systems science Vol. 44; no. 6; pp. 1150 - 1159
• Main Authors: Long, Yue, Yang, Guang-Hong
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.06.2013; Taylor & Francis
• Subjects: Applied sciences; Attenuation; Computer science; control theory; systems; Computer systems and distributed systems. User interface; Control systems; Control theory. Systems; data packet dropout; Dropouts; Exact sciences and technology; Fault detection; finite-frequency; Linear systems; Markov models; measurement quantisation; Modelling and identification; networked control systems; Packets (communication); Software; Stochasticity; Disturbance rejection; Markovian system; finite-frequency; Probabilistic approach; Logarithmic function; fault detection; Frequency domain method; Stochastic system; Hybrid system; Distributed control; networked control systems; Quantifier; measurement quantisation; Transmission loss; Jumping; data packet dropout; Fault diagnostic; Defect detection
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207721.2012.658882

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 quantisation and data packet dropout. Considering a logarithmic quantiser and Markovian packet dropout, the NCS is modelled as a Markov jump linear system (MJLS) with quantisation error. Further, a new definition of finite-frequency stochastic H − index is given, which gives a measurement of 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 characterising the disturbance attenuation performance and finite-frequency fault sensitivity performance. Finally, a simulation example is given to illustrate the method and its effectiveness.