H-/L_∞ fault detection observer design for uncertain linear systems

References

• Abedor, J., Nagpal, K., & Poolla, K. (1996). A linear matrix inequality approach to peak-to-peak gain minimization. International Journal of Robust and Nonlinear Control, 6, 899–927.
   Web of Science ®Google Scholar
• Aouaouda, S., Chadli, M., Shi, P., & Karimi, H. R. (2015). Discrete-time H−/H∞ sensor fault detection observer design for nonlinear systems with parameter uncertainty. International Journal of Robust and Nonlinear Control, 25, 339–361.
   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
• Chadli, M., Abdo, A., & Ding, S. X. (2013). H−/H∞ fault detection filter design for discrete-time Takagi–Sugeno fuzzy system. Automatica, 49, 1996–2005.
   Web of Science ®Google Scholar
• Chen, J., & Cao, Y.-Y. (2013). A stable fault detection observer design in finite frequency domain. International Journal of Control, 86, 290–298.
   Web of Science ®Google Scholar
• Chen, J., & Patton, R. J. (2012). Robust model-based fault diagnosis for dynamic systems. New York: Springer Science & Business Media.
   Google Scholar
• Chen, J., Patton, R. J., & Zhang, H.-Y. (1996). Design of unknown input observers and robust fault detection filters. International Journal of control, 63, 85–105.
   Web of Science ®Google Scholar
• Chibani, A., Chadli, M., Shi, P., & Braiek, N. B. (2017). Fuzzy fault detection filter design for T–S fuzzy systems in the finite-frequency domain. IEEE Transactions on Fuzzy Systems, 25, 1051–1061.
   Web of Science ®Google Scholar
• Ding, S. (2008). Model-based fault diagnosis techniques: Design schemes, algorithms, and tools. Berlin: Springer Science & Business Media.
   Google Scholar
• Ding, D.-W., Wang, H., & Li, X. (2015). H−/H∞ fault detection observer design for two-dimensional Roesser systems. Systems & Control Letters, 82, 115–120.
   Web of Science ®Google Scholar
• Gu, Y., & Yang, G.-H. (2017). Fault detection for discrete-time Lipschitz non-linear systems in finite-frequency domain. IET Control Theory & Applications, 11, 2177–2186.
   Web of Science ®Google Scholar
• Han, H., Yang, Y., Li, L., & Ding, S. X. (2018). Observer-based fault detection for uncertain nonlinear systems. Journal of the Franklin Institute, 355, 1278–1295.
   Web of Science ®Google Scholar
• Hou, M., & Patton, R. (1996). An LMI approach to H−/H∞ fault detection observers. In Proceedings of the UKACC international conference on control (pp. 305–310), Exeter, UK.
   Google Scholar
• Isermann, R. (2011). Fault-diagnosis applications: Model-based condition monitoring: Actuators, drives, machinery, plants, sensors, and fault-tolerant systems. Berlin: Springer Science & Business Media.
   Google Scholar
• Iwasaki, T., & Hara, S. (2005). Generalized KYP lemma: Unified frequency domain inequalities with design applications. IEEE Transactions on Automatic Control, 50, 41–59.
   Web of Science ®Google Scholar
• Johansson, A., Bask, M., & Norlander, T. (2006). Dynamic threshold generators for robust fault detection in linear systems with parameter uncertainty. Automatica, 42, 1095–1106.
   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, 407–429.
   Web of Science ®Google Scholar
• Li, X.-J., & Yang, G.-H. (2014). Fault detection in finite frequency domain for Takagi–Sugeno fuzzy systems with sensor faults. IEEE Transactions on Cybernetics, 44, 1446–1458.
   PubMed 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, 1995–2004.
   Web of Science ®Google Scholar
• Raka, S.-A., & Combastel, C. (2013). Fault detection based on robust adaptive thresholds: A dynamic interval approach. Annual Reviews in Control, 37, 119–128.
   Web of Science ®Google Scholar
• Rugh, W. J., & Rugh, W. J. (1996). Linear system theory Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Tempo, R., Calafiore, G., & Dabbene, F. (2012). Randomized algorithms for analysis and control of uncertain systems: With applications. London: Springer Science & Business Media.
   Google Scholar
• Wang, H., & Lam, J. (2002). Robust fault detection for uncertain discrete-time systems. Journal of Guidance, Control, and Dynamics, 25, 291–301.
   Web of Science ®Google Scholar
• Wang, Z., Lim, C.-C., Shi, P., & Shen, Y. (2017). Fault detection observer design for linear parameter-varying systems. In 20th World congress of the international federation of automatic control (pp. 15271–15276), Toulouse, France.
   Google Scholar
• Wang, Z., Shi, P., & Lim, C.-C. (2017). H−/H∞ fault detection observer in finite frequency domain for linear parameter-varying descriptor systems. Automatica, 86, 38–45.
   Web of Science ®Google Scholar
• Wang, Y., Xie, L., & de Souza, C. E. (1992). Robust control of a class of uncertain nonlinear systems. Systems & Control Letters, 19, 139–149.
   Web of Science ®Google Scholar
• Wang, H., & Yang, G.-H. (2008). A finite frequency domain approach to fault detection for linear discrete-time systems. International Journal of Control, 81, 1162–1171.
   Web of Science ®Google Scholar
• Wang, J. L., Yang, G.-H., & Liu, J. (2007). An LMI approach to H− index and mixed H−/H∞ fault detection observer design. Automatica, 43, 1656–1665.
   Web of Science ®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, 511–525.
   Web of Science ®Google Scholar
• Zhang, K., Jiang, B., & Shi, P. (2012). Observer-based fault estimation and accommodation for dynamic systems. Berlin: Springer.
   Google Scholar
• Zhang, D., Wang, H., Lu, B., & Wang, Z. (2012). LMI-based fault detection fuzzy observer design with multiple performance constraints for a class of non-linear systems: Comparative study. International Journal of Innovative Computing, Information and Control, 8, 633–645.
   Web of Science ®Google Scholar
• Zhong, M., Ding, S. X., Lam, J., & Wang, H. (2003). An LMI approach to design robust fault detection filter for uncertain LTI systems. Automatica, 39, 543–550.
   Web of Science ®Google Scholar
• Zhou, K., & Doyle, J. C. (1998). Essentials of robust control Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Zhou, M., Wang, Z., Theilliol, D., Shen, Y., & Rodrigues, M. (2017). H−/L∞ fault detection observer for discrete-time T–S fuzzy systems. In 56th IEEE conference on decision and control (pp. 5137–5142), Melbourne, Australia.
   Google Scholar