Robust Multiple Fault Isolation Based on Partial-orthogonality Criteria

Nicholas Cartocci1, Francesco Crocetti1, Gabriele Costante1, Paolo Valigi1, Mario L. Fravolini1
1Department of Engineering, University of Perugia, Perugia, Italy

Tóm tắt

In this paper, a data-driven scheme for the robust Fault Isolation of multiple sensor faults is proposed. Robustness to modelling uncertainty and noise is achieved via the optimized design of the processing blocks. The main idea of the study is the introduction of a Pre-Isolation block that selects a restricted set of sensors containing (with high probability) the subset of the faulty sensors; in this phase, robustness is achieved through the datadriven design of a redundant number of Multiple Analytic Redundancy Relations (MARRs) and a voting logic for the ranking of the candidate faulty sensors. Then, robust Faults Isolation (FI) is achieved by means of another large set of specialized ARRs, whose fault signatures are specifically designed to optimize, at the same time, noise immunity while maximizing the decoupling only of the pre-isolated fault directions (Partial-Orthogonality Criteria). The proposed diagnostic system may provide an effective means for early sensor failure isolation, particularly useful for critical applications such as aerospace control systems or energy management systems. To assess the performance of the approach, we performed a comparative study with other State-of-the-Art (SoA) approaches using a well-known benchmark model that emulates faults on six sensors. Results for single and multi-contemporary faults have clearly highlighted the superiority of our method.

Tài liệu tham khảo

N. B. Hoang and H. J. Kang, “A model-based fault diagnosis scheme for wheeled mobile robots,” International Journal of Control, Automation, and Systems, vol. 12, no. 3, pp. 637–651, May 2014. Z. Gao, C. Cecati, and S. X. Ding, “A survey of fault diagnosis and fault-tolerant techniques Part I: Fault diagnosis,” IEEE Transactions on Industrial Electronics, vol. 62, no. 6, pp. 3768–3774, 2015. E. Y. Chow and A. S. Willsky, “Analytical redundancy and the design of robust failure detection systems,” IEEE Transactions on Automatic Control, vol. 29, no. 7, pp. 603–614, 1984. N. Cartocci, G. Costante, M. R. Napolitano, P. Valigi, F. Crocetti, and M. L. Fravolini, “PCA methods and evidence based filtering for robust aircraft sensor fault diagnosis,” Proc. of 28th Mediterranean Conference on Control and Automation, MED 2020, pp. 550–555, September 2020. I. Gueddi, O. Nasri, K. Benothman, and P. Dague, “Fault detection and isolation of spacecraft thrusters using an extended principal component analysis to interval data,” International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp. 776–789, April 2017. A. Benaicha, G. Mourot, K. Benothman, and J. Ragot, “Determination of principal component analysis models for sensor fault detection and isolation,” International Journal of Control, Automation, and Systems, vol. 11, no. 2, pp. 296–305, April 2013. Y. Lei, B. Yang, X. Jiang, F. Jia, N. Li, and A. K. Nandi, “Applications of machine learning to machine fault diagnosis: A review and roadmap,” Mechanical Systems and Signal Processing, vol. 138. p. 106587, April 2020. N. Cartocci, M. R. Napolitano, F. Crocetti, G. Costante, P. Valigi, and M. L. Fravolini, “Data-driven fault diagnosis techniques: Non-linear directional residual vs. machine-learning-based methods,” Sensors, vol. 22, no. 7, p. 2635, 2022. X. J. Li and G. H. Yang, “Fault detection in finite frequency domain for Takagi-Sugeno fuzzy systems with sensor faults,” IEEE Transactions on Cybernetics, vol. 44, no. 8, pp. 1446–1458, 2014. X. J. Li and X. Y. Shen, “A data-driven attack detection approach for DC servo motor systems based on mixed optimization strategy,” IEEE Transactions on Industrial Informatics, vol. 16, no. 9, pp. 5806–5813, September 2020. K. Shi, J. Wang, Y. Tang, and S. Zhong, “Reliable asynchronous sampled-data filtering of T-S fuzzy uncertain delayed neural networks with stochastic switched topologies,” Fuzzy Sets and Systems, vol. 381, pp. 1–25, February 2020. D. Jung, Y. Dong, E. Frisk, M. Krysander, and G. Biswas, “Sensor selection for fault diagnosis in uncertain systems,” International Journal of Control, vol. 93, no. 3, pp. 629–639, March 2020. D. Jung and E. Frisk, “Residual selection for fault detection and isolation using convex optimization,” Automatica, vol. 97, pp. 143–149, 2018. X. Yang, Z. Li, Q. Zhang, Q. Wu, and L. Yang, “A nonlinear adaptive observer-based differential evolution algorithm to multiparameter fault diagnosis,” Mathematical Problems in Engineering, vol. 2020, Article ID 4531075, 2020. N. Cartocci, M. R. Napolitano, G. Costante, P. Valigi, and M. L. Fravolini, “Aircraft robust data-driven multiple sensor fault diagnosis based on optimality criteria,” Mechanical Systems and Signal Processing, vol. 170, p. 108668, 2022. D. Zhu, J. Bai, and S. Yang, “A multi-fault diagnosis method for sensor systems based on principle component analysis,” Sensors, vol. 10, no. 1, pp. 241–253, December 2009. Z. Li, X. Yan, C. Yuan, Z. Peng, and L. Li, “Virtual prototype and experimental research on gear multi-fault diagnosis using wavelet-autoregressive model and principal component analysis method,” Mechanical Systems and Signal Processing, vol. 25, no. 7, pp. 2589–2607, October 2011. H. Jiang, C. Li, and H. Li, “An improved EEMD with multiwavelet packet for rotating machinery multi-fault diagnosis,” Mechanical Systems and Signal Processing, vol. 36, no. 2, pp. 225–239, April 2013. H. Chen, W. Huang, J. Huang, C. Cao, L. Yang, Y. He, and L. Zeng, “Multi-fault condition monitoring of slurry pump with principle component analysis and sequential hypothesis test,” International Journal of Pattern Recognition and Artificial Intelligence, vol. 34, no. 7, p. 2059019, June 2020. C. F. Alcala and S. J. Qin, “Analysis and generalization of fault diagnosis methods for process monitoring,” Journal of Process Control, vol. 21, no. 3, pp. 322–330, March 2011. M. Z. Sheriff, N. Basha, M. N. Karim, H. Nounou, and M. Nounou, “Fault detection of single and interval valued data using statistical process monitoring techniques,” Fault Detection, Diagnosis and Prognosis, IntechOpen, 2019. P. Van den Kerkhof, J. Vanlaer, G. Gins, and J. F. M. Van Impe, “Contribution plots for statistical process control: Analysis of the smearing-out effect,” Proc. of European Control Conference, ECC 2013, pp. 428–433, 2013. P. Van den Kerkhof, J. Vanlaer, G. Gins, and J. F. M. Van Impe, “Analysis of smearing-out in contribution plot based fault isolation for statistical process control,” Chemical Engineering Science, vol. 104, pp. 285–293, December 2013. Z. Zhou, C. Wen, and C. Yang, “Fault isolation based on κ-nearest neighbor rule for industrial processes,” IEEE Transactions on Industrial Electronics, vol. 63, no. 4, pp. 2578–2586, April 2016. J. Yang, Z. Sun, and Y. Chen, “Fault detection using the clustering-kNN rule for gas sensor arrays,” Sensors, vol. 16, no. 12, p. 2069, December 2016. Z. Zhou, C. Yang, C. Wen, and J. Zhang, “Analysis of principal component analysis-based reconstruction method for fault diagnosis,” Industrial & Engineering Chemistry Research, vol. 55, no. 27, pp. 7402–7410, July 2016. N. Cartocci, M. R. Napolitano, G. Costante, and M. L. Fravolini, “A comprehensive case study of data-driven methods for robust aircraft sensor fault isolation,” Sensors, vol. 21, no. 5, p. 1645, February 2021. N. Cartocci, F. Crocetti, G. Costante, P. Valigi, M. R. Napolitano, and M. L. Fravolini, “Data-driven sensor fault diagnosis based on nonlinear additive models and local fault sensitivity,” Proc. of 20th International Conference on Advanced Robotics, 2021. J. Gertler, “Fault detection and isolation using parity relations,” Control Engineering Practice, vol. 5, no. 5, pp. 653–661, 1997. N. Cartocci, G. Costante, M. R. Napolitano, P. Valigi, F. Crocetti, and M. L. Fravolini, “A robust data-driven fault diagnosis scheme based on recursive Dempster-Shafer combination rule,” Proc. of 29th Mediterranean Conference on Control and Automation (MED), 2021. Y. Jiang, S. Yin, and O. Kaynak, “Optimized design of parity relation-based residual generator for fault detection: Data-driven approaches,” IEEE Transactions on Industrial Informatics, vol. 17, no. 2, pp. 1449–1458, February 2021. B. Ochoa, “The null space of a matrix left null space,” 2015. M. L. Fravolini, M. R. Napolitano, G. Del Core, and U. Papa, “Experimental interval models for the robust fault detection of aircraft air data sensors,” Control Engineering Practice, vol. 78, pp. 196–212, January 2018. Y. Hu and J. Gertler, “Design of optimal directional residuals for linear dynamic systems,” IFAC Proceedings Volumes, vol. 36, no. 5, pp. 245–250, 2003. Y. Hu and J. Gertler, “Design of directional residuals for optimal testability,” IFAC Proceedings Volumes, vol. 15, no. 1, pp. 131–136, 2002.