Detection of intermittent faults for nonuniformly sampled multi-rate systems with dynamic quantisation and missing measurements

ABSTRACT

This paper is concerned with the fault detection problem for a class of networked multi-rate systems with nonuniform sampling and dynamic quantization. The sampling interval of the measurements is allowed to be nonuniform that is governed by a time-homogenous Markov process with partly unknown and uncertain transition probabilities. The measured output is quantized by a dynamic quantizer and then transmitted through communication network subject to data missing. The main purpose of the problem under consideration is to design sampling-interval-dependent fault detection filters such that, in the simultaneous presence of nonuniform sampling, dynamic quantization, intermittent faults as well as missing measurements, the robustness of residuals with respect to the disturbance and the sensitivity of the residuals against the fault are guaranteed. Finally, a three-tank system is utilized to illustrate the effectiveness of the proposed fault detection scheme.

KEYWORDS:

• Networked multi-rate systems
• nonuniform sampling
• dynamic quantisation
• intermittent faults
• missing measurements

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah [grant number RG-13-135-39]. The authors, therefore, acknowledge with thanks DSR for technical and financial support. This work was also supported in part by the National Natural Science Foundation of China [grant numbers 61471275 and 61625305], the the Natural Science Foundation of Hubei Province of China [grant number 2016CFB580], and the Alexander von Humboldt Foundation of Germany.