Fault detection for piecewise affine systems with application to ship propulsion systems

Ying Yang; Li Linlin; Steven X Ding; Jianbin Qiu; Kaixiang Peng

doi:10.1016/j.isatra.2017.08.016

Fault detection for piecewise affine systems with application to ship propulsion systems

ISA Trans. 2018 Jul:78:3-9. doi: 10.1016/j.isatra.2017.08.016. Epub 2017 Sep 9.

Authors

Ying Yang¹, Li Linlin², Steven X Ding³, Jianbin Qiu⁴, Kaixiang Peng⁵

Affiliations

¹ State Key Lab for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University, China. Electronic address: yy@pku.edu.cn.
² Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China. Electronic address: linlin.li@ustb.edu.cn.
³ Institute for Automatic Control and Complex Systems (AKS), University of Duisburg-Essen, Germany. Electronic address: steven.ding@uni-due.de.
⁴ Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150080, China. Electronic address: jianbinqiu@gmail.com.
⁵ Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China. Electronic address: kaixiang@ustb.edu.cn.

PMID: 28899578
DOI: 10.1016/j.isatra.2017.08.016

Abstract

In this paper, the design approach of non-synchronized diagnostic observer-based fault detection (FD) systems is investigated for piecewise affine processes via continuous piecewise Lyapunov functions. Considering that the dynamics of piecewise affine systems in different regions can be considerably different, the weighting matrices are used to weight the residual of each region, so as to optimize the fault detectability. A numerical example and a case study on a ship propulsion system are presented in the end to demonstrate the effectiveness of the proposed results.

Keywords: Continuous piecewise Lyapunov function; Diagnostic observer; Fault detection (FD) systems; Piecewise affine systems.