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

Abstract

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.

Keywords:

• networked control systems
• fault detection
• measurement quantisation
• data packet dropout
• finite-frequency

Acknowledgements

This work was supported in part by the Funds for Creative Research Groups of China (No. 60821063), National 973 Program of China (Grant No. 2009CB320604), the Funds of National Science of China (Grant No. 60974043, 60904010, 60804024, 61104015), the 111 Project (B08015), the Funds of Doctoral Program of Ministry of Education, China (20100042110027), China Postdoctoral Science Foundation (No. 2009045127 and 201003624) and a Foundation for the Author of National Excellent Doctoral Dissertation of PR China (No. 201157).