Heterogeneous recurrence T2 charts for monitoring and control of nonlinear dynamic processes

Yun Chen, Hui Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

Many real-world systems are evolving over time and exhibit dynamical behaviors. Real-time sensing brings the proliferation of big data (i.e., dynamic, nonlinear, nonstationary, high dimensional) that contains rich information on nonlinear dynamic processes. Nonetheless, limited work on studying nonlinear dynamics underlying sensing data for quality control has been reported. This paper presents a new approach of heterogeneous recurrence T2 control chart for online monitoring and anomaly detection in nonlinear dynamic processes. A partition scheme, named Q-tree indexing, is firstly introduced to delineate local recurrence regions in the multidimensional continuous state space. Further, we designed a new fractal representation of state transitions, among recurrence regions, and then develop new measures to quantify heterogeneous recurrence patterns. Finally, we developed a multivariate Hotelling T2 Chart for on-line monitoring and predictive control of process recurrences. Case studies show that the proposed approach not only captures heterogeneous recurrence patterns in the transformed space, but also provides an effective online control charts to monitor and detect dynamical transitions in the underlying nonlinear process.

Original languageEnglish (US)
Title of host publication2015 IEEE Conference on Automation Science and Engineering
Subtitle of host publicationAutomation for a Sustainable Future, CASE 2015
PublisherIEEE Computer Society
Pages1066-1071
Number of pages6
ISBN (Electronic)9781467381833
DOIs
StatePublished - Oct 7 2015
Event11th IEEE International Conference on Automation Science and Engineering, CASE 2015 - Gothenburg, Sweden
Duration: Aug 24 2015Aug 28 2015

Publication series

NameIEEE International Conference on Automation Science and Engineering
Volume2015-October
ISSN (Print)2161-8070
ISSN (Electronic)2161-8089

Other

Other11th IEEE International Conference on Automation Science and Engineering, CASE 2015
CountrySweden
CityGothenburg
Period8/24/158/28/15

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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