A Novel Scheme for Fault Detection Using Data-Driven Gap Metric Technique

This paper considers the fault detection problem for uncertain linear time-invariant systems. Based on the data-driven computational method for the gap metric, a fault detection scheme is designed by monitoring the gap metric between the running process and its nominal system with the direct use of offline and online data. Moreover, an alternative iterative realization of the stable image representation is proposed, based on which the gap metric is obtained and the fault detection is conducted with less calculation efforts. In addition, owing to the physical properties behind the gap metric, reliability analysis for systems with multiplicative faults is addressed. The numerical simulation examples are presented to demonstrate the effectiveness of the fault detection scheme.

[1]  Steven X. Ding,et al.  A Data-Driven Computation Method for the Gap Metric and the Optimal Stability Margin , 2018, IEEE Transactions on Automatic Control.

[2]  Steven X. Ding,et al.  Model-based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools , 2008 .

[3]  Michael Cantoni,et al.  Gap-Metric Robustness Analysis of Linear Periodically Time-Varying Feedback Systems , 2000, SIAM J. Control. Optim..

[4]  Biao Huang,et al.  Dynamic Modeling, Predictive Control and Performance Monitoring: A Data-driven Subspace Approach , 2008 .

[5]  P. A. Janakiraman,et al.  Recursive computation of pseudo-inverse of matrices , 1982, Autom..

[6]  P. Frank,et al.  Survey of robust residual generation and evaluation methods in observer-based fault detection systems , 1997 .

[7]  Steven X. Ding,et al.  Data-driven Design of Fault Diagnosis and Fault-tolerant Control Systems , 2014 .

[8]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[9]  Steven X. Ding,et al.  Fault-Tolerant Control for Systems With Model Uncertainty and Multiplicative Faults , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[10]  Steven X. Ding,et al.  Application of Factorization and Gap Metric Techniques to Fault Detection and Isolation Part II: Gap metric technique aided FDI performance analysis , 2015 .

[11]  T. Georgiou,et al.  Optimal robustness in the gap metric , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[12]  Ahmet Palazoglu,et al.  Multimodel Scheduling Control of Nonlinear Systems Using Gap Metric , 2004 .

[13]  Tohru Katayama,et al.  Subspace Methods for System Identification , 2005 .

[14]  Steven X. Ding.  Application of Factorization and Gap Metric Techniques to Fault Detection and Isolation Part I: A factorization technique based FDI framework , 2015 .

[15]  Tryphon T. Georgiou,et al.  On the computation of the gap metric , 1988 .