Fault detection and isolation for discrete-time descriptor systems based on H₋/L_∞ observer and zonotopic residual evaluation

References

• Alamo, T., Bravo, J. M., & Camacho, E. F. (2005). Guaranteed state estimation by zonotopes. Automatica, 41(6), 1035–1043. doi: 10.1016/j.automatica.2004.12.008
   Web of Science ®Google Scholar
• Blajer, W., & Kołodziejczyk, K. (2004). A geometric approach to solving problems of control constraints: Theory and a DAE framework. Multibody System Dynamics, 11(4), 343–364. doi: 10.1023/B:MUBO.0000040800.40045.51
   Web of Science ®Google Scholar
• Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Philadelphia: SIAM.
   Google Scholar
• Chen, J., & Cao, Y.-Y. (2013). A stable fault detection observer design in finite frequency domain. International Journal of Control, 86(2), 290–298. doi: 10.1080/00207179.2012.723829
   Web of Science ®Google Scholar
• Chen, J., & Patton, R. J. (1999). Robust model-based fault diagnosis for dynamic systems. Boston: Kluwer Academic Publishers Norwell.
   Google Scholar
• Chen, L., Zhong, M.-Y., & Zhang, M.-Y. (2011). H−/L∞ fault detection for linear singular systems with time-varying delay. International Journal of Control, Automation and Systems, 9(1), 9–14. doi: 10.1007/s12555-011-0102-x
   Web of Science ®Google Scholar
• Combastel, C. (2003). A state bounding observer based on zonotopes. European control conference (pp. 2589–2594). IEEE.
   Google Scholar
• Combastel, C. (2015). Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence. Automatica, 55, 265–273. doi: 10.1016/j.automatica.2015.03.008
   Web of Science ®Google Scholar
• Combastel, C., & Zhang, Q. (2006). Robust fault diagnosis based on adaptive estimation and set-membership computations. IFAC Proceedings Volumes, 39(13), 1204–1209. doi: 10.3182/20060829-4-CN-2909.00201
   Google Scholar
• Ding, S. X. (2008). Model-based fault diagnosis techniques: Design schemes, algorithms, and tools. New York: Springer Science & Business Media.
   Google Scholar
• Gao, Z., & Ding, S. X. (2007). Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems. Automatica, 43(5), 912–920. doi: 10.1016/j.automatica.2006.11.018
   Web of Science ®Google Scholar
• Guerra, P., Puig, V., Ingimundarson, A., & Witczak, M. (2006). Robust fault detection with unknown input set-membership state estimators and interval models using zonotopes. IFAC Proceedings Volumes, 39(13), 1234–1239. doi: 10.3182/20060829-4-CN-2909.00206
   Google Scholar
• Hamdi, H., Rodrigues, M., Mechmeche, C., Theilliol, D., & Braiek, N. B. (2012). Fault detection and isolation in linear parameter-varying descriptor systems via proportional integral observer. International Journal of Adaptive Control and Signal Processing, 26(3), 224–240. doi: 10.1002/acs.1260
   Web of Science ®Google Scholar
• Han, W., Wang, Z., Shen, Y., & Liu, Y. (2018). H−/L∞ fault detection for linear discrete-time descriptor systems. IET Control & Applications, 12(15), 2156–2163. doi: 10.1049/iet-cta.2017.1408
   Web of Science ®Google Scholar
• Henry, D., & Zolghadri, A. (2005). Design and analysis of robust residual generators for systems under feedback control. Automatica, 41(2), 251–264. doi: 10.1016/j.automatica.2004.09.013
   Web of Science ®Google Scholar
• Iwasaki, T., & Hara, S. (2005). Generalized KYP lemma: Unified frequency domain inequalities with design applications. IEEE Transactions on Automatic Control, 50(1), 41–59. doi: 10.1109/TAC.2004.840475
   Web of Science ®Google Scholar
• Jee, S. C., & Lee, H. J. (2016). Sampled-data H−/L∞ fault detection and isolation for nonlinear systems in T–S form: An approximate model approach. Fuzzy Sets and Systems, 297, 112–127. doi: 10.1016/j.fss.2015.11.012
   Web of Science ®Google Scholar
• Jee, S. C., Lee, H. J., & Kim, D. W. (2016). Detecting sensor fault for nonlinear systems in T–S form under sampled-data measurement: Exact direct discrete-time design approach. International Journal of Control, Automation and Systems, 14(2), 452–460. doi: 10.1007/s12555-015-0033-z
   Web of Science ®Google Scholar
• Khan, A. Q., & Ding, S. X. (2011). Threshold computation for fault detection in a class of discrete-time nonlinear systems. International Journal of Adaptive Control and Signal Processing, 25(5), 407–429. doi: 10.1002/acs.1205
   Web of Science ®Google Scholar
• Kumar, A., & Daoutidis, P. (1995). Feedback control of nonlinear differential–algebraic-equation systems. AIChE Journal, 41(3), 619–636. doi: 10.1002/aic.690410319
   Web of Science ®Google Scholar
• Liu, J., Wang, J. L., & Yang, G.-H. (2005). An LMI approach to minimum sensitivity analysis with application to fault detection. Automatica, 41(11), 1995–2004. doi: 10.1016/j.automatica.2005.06.005
   Web of Science ®Google Scholar
• Marszalek, W., & Trzaska, Z. W. (2004) DAE models of electrical power systems and their bifurcations around singularities. 43rd IEEE conference on decision and control (Vol. 5, pp. 4833–4838). IEEE.
   Google Scholar
• Puig, V. (2010). Fault diagnosis and fault tolerant control using set-membership approaches: Application to real case studies. Applied Mathematics and Computer Science, 20(4), 619–635.
   Web of Science ®Google Scholar
• Scott, J. K., Raimondo, D. M., Marseglia, G. R., & Braatz, R. D. (2016). Constrained zonotopes: A new tool for set-based estimation and fault detection. Automatica, 69, 126–136. doi: 10.1016/j.automatica.2016.02.036
   Web of Science ®Google Scholar
• Wang, H., & Lam, J. (2002). Robust fault detection for uncertain discrete-time systems. Journal of Guidance, Control, and Dynamics, 25(2), 291–301. doi: 10.2514/2.4881
   Web of Science ®Google Scholar
• Wang, Z., Lim, C.-C., Shi, P., & Shen, Y. (2017). H−/L∞ fault detection observer design for linear parameter-varying systems. IFAC-PapersOnLine, 50(1), 15271–15276. doi: 10.1016/j.ifacol.2017.08.2409
   Google Scholar
• Wang, Z., Rodrigues, M., Theilliol, D., & Shen, Y. (2015a). Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems. International Journal of Adaptive Control and Signal Processing, 29(2), 242–258. doi: 10.1002/acs.2469
   Web of Science ®Google Scholar
• Wang, Z., Rodrigues, M., Theilliol, D., & Shen, Y. (2015b). Fault estimation filter design for discrete-time descriptor systems. IET Control Theory & Applications, 9(10), 1587–1594. doi: 10.1049/iet-cta.2014.0641
   Web of Science ®Google Scholar
• Wang, Z., Shi, P., & Lim, C.-C. (2017). H−/L∞ fault detection observer in finite frequency domain for linear parameter-varying descriptor systems. Automatica, 86, 38–45. doi: 10.1016/j.automatica.2017.08.021
   Web of Science ®Google Scholar
• Wang, H., Wang, J., & Lam, J. (June 2004). An optimization approach for worst-case fault detection observer design. American control conference (pp. 2475–2480). Boston, MA.
   Google Scholar
• Wang, H. B., Wang, J. L., & Lam, J. (2007). Robust fault detection observer design: Iterative LMI approaches. Journal of Dynamic Systems, Measurement, and Control, 129(1), 77–82. doi: 10.1115/1.2397155
   Web of Science ®Google Scholar
• Wang, H., Wang, J., Liu, J., & Lam, J. (December 2003). Iterative LMI approach for robust fault detection observer design. 42nd IEEE conference on decision and control, Maui, HI, USA.
   Google Scholar
• Wang, H., & Yang, G.-H. (2008a). A finite frequency domain approach to fault detection for linear discrete-time systems. International Journal of Control, 81(7), 1162–1171. doi: 10.1080/00207170701691513
   Web of Science ®Google Scholar
• Wang, H., & Yang, G.-H. (2008b). A finite frequency domain approach to fault detection observer design for linear continuous-time systems. Asian Journal of Control, 10(5), 559–568. doi: 10.1002/asjc.56
   Web of Science ®Google Scholar
• Wang, J. L., Yang, G.-H., & Liu, J. (2007). An LMI approach to H− index and mixed H−/L∞ fault detection observer design. Automatica, 43(9), 1656–1665. doi: 10.1016/j.automatica.2007.02.019
   Web of Science ®Google Scholar
• Xu, F., Puig, V., Ocampo-Martinez, C., Olaru, S., & Stoican, F. (2015). Set-theoretic methods in robust detection and isolation of sensor faults. International Journal of Systems Science, 46(13), 2317–2334. doi: 10.1080/00207721.2014.989293
   Web of Science ®Google Scholar
• Xu, F., Puig, V., Ocampo-Martinez, C., Stoican, F., & Olaru, S. (2014). Actuator-fault detection and isolation based on set-theoretic approaches. Journal of Process Control, 24(6), 947–956. doi: 10.1016/j.jprocont.2014.04.016
   Web of Science ®Google Scholar
• Yang, H., Li, P., Xia, Y., & Yan, C. (2018). Double-loop stability for high frequency networked control systems subject to actuator saturation. IEEE Transactions on Cybernetics, 99, 1–9.
   Google Scholar
• Yang, H., Xia, Y., & Zhang, J. (2011). Generalised finite-frequency KYP lemma in delta domain and applications to fault detection. International Journal of Control, 84(3), 511–525. doi: 10.1080/00207179.2011.561501
   Web of Science ®Google Scholar
• Yeu, T.-K., Kim, H.-S., & Kawaji, S. (2005). Fault detection, isolation and reconstruction for descriptor systems. Asian Journal of Control, 7(4), 356–367. doi: 10.1111/j.1934-6093.2005.tb00398.x
   Web of Science ®Google Scholar
• Zhang, K., Jiang, B., & Shi, P. (2013). Observer-based fault estimation and accommodation for dynamic systems. Heidelberg, Berlin, Germany: Springer.
   Google Scholar
• Zhou, M., Rodrigues, M., Wang, Z., Theilliol, D., & Shen, Y. (December 2017). H−/L∞ fault detection observer for discrete-time T–S fuzzy systems. 56th IEEE conference on decision and control (pp. 5137–5142). Melbourne, Australia. IEEE.
   Google Scholar