8
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Fault detection in linear systems via interval parity relations

ORCID Icon & ORCID Icon
Received 09 Nov 2023, Accepted 26 Feb 2024, Published online: 07 Jun 2024

References

  • Aviles, J. D., Moreno, J. A., Davila, J. A., Becerra, G., Flores, F., Chavez, C. A., & Marquez, C. (2022). Satbility radii-based interval observres for discrete-time nonlilear systems. IEEE Access. 10, 3216–3227. https://doi.org/10.1109/ACCESS.2021.3139244
  • Blanke, M., Kinnaert, M., Lunze, J., & Staroswiecki, M. (2016). Diagnosis and fault-tolerant control. Springer-Verlag.
  • Blesa, J., Rotondo, D., Puig, V., & Nejjari, F. (2014). FDI and FTC of wind turbines using the interval observer approach and virtual actuators/sensors. Control Engineering Practice. 24, 138–155. https://doi.org/10.1016/j.conengprac.2013.11.018
  • Brisilla, R., & Sankaranarayanan, V. (2015, May 14–16). Extended state observer based sliding mode control of permanent magnet DC motor. In Proceedings of 2015 Annual India Conference, New-Delhi (pp. 1–6).
  • Chebotarev, S., Efimov, D., Raïssi, T., & Zolghadri, A. (2015). Interval observers for continous-time LPV systems with L1/L2 performance. Automatica, 58, 82–89. https://doi.org/10.1016/j.automatica.2015.05.009
  • Degue, K., Efimov, D., & Richard, J. (2016). Interval observers for linear impulsive systems. IFAC-PapersOnLine, 49(18), 867–872. https://doi.org/10.1016/j.ifacol.2016.10.275
  • Dinh, T., Mazenc, F., & Niculescu, S. (2014). Interval observer composed of observers for nonlinear systems [Paper presentation]. Proc. 2014 European Control Conference (ECC), Strasbourg, France. https://doi.org/10.1109/ECC.2014.6862153
  • Edwards, C., Spurgeon, S., & Patton, R. (2000). Sliding mode observers for fault detection and isolation. Automatica, 36(4), 541–553. https://doi.org/10.1016/S0005-1098(99)00177-6
  • Efimov, D., Perruquetti, W., Raissi, T., & Zolghadri, A. (2013). Interval observers for time-varying discrete-time systems. IEEE Transactions on Automatic Control, 58(12), 3218–3224. https://doi.org/10.1109/TAC.2013.2263936
  • Efimov, D., Polyakov, A., & Richard, J. (2015). Interval observer design for estimation and control of time-delay descriptor systems. European Journal of Control, 23(5), 26–35. https://doi.org/10.1016/j.ejcon.2015.01.004
  • Efimov, D., & Raïssi, T. (2015). Design of interval state observers for uncertain dynamical systems. Automation and Remote Control, 77(2), 191–225. https://doi.org/10.1134/S0005117916020016
  • Khan, A., Xie, W., Zhang, B., & Liu, L. (2021). A survey of interval observers design methods and implementation for uncertain systems. Journal of the Franklin Institute, 358(6), 3077–3126. https://doi.org/10.1016/j.jfranklin.2021.01.041
  • Khan, A., Xie, W., Zhang, L., & Liu, L. (2020). Design and applications of interval observers for uncertain dynamical systems. IET Circuits, Devices & Systems, 14(6), 721–740. https://doi.org/10.1049/iet-cds.2020.0004
  • Kravaris, C., & Venkateswaran, C. (2021). Functional observers with linear error dynamics for nonlinear systems. Systems & Control Letters, 157, 105021. https://doi.org/10.1016/j.sysconle.2021.105021
  • Lou, X.-C., Willsky, A. S., & Verghese, G. C. (1996). Optimally robust redundancy relations for failure detection in uncertain systems. Automatica, 22(3), 333–344. https://doi.org/10.1016/0005-1098(86)90031-2
  • Marouani, G., Dinh, T. N., Raïssi, T., Wang, X., & Messaoud, H. (2021). Unknown input interval observers for discrete-time linear switched systems. European Journal of Control, 59, 165–174. https://doi.org/10.1016/j.ejcon.2020.09.004
  • Mazenc, F., & Bernard, O. (2011). Interval observers for linear time-invariant systems with disturbances. Automatica, 47(1), 140–147. https://doi.org/10.1016/j.automatica.2010.10.019
  • Mazenc, F., Dinh, T., & Niculescu, S. (2014). Interval observers for discrete-time systems. International Journal of Robust and Nonlinear Control, 24(17), 2867–2890. https://doi.org/10.1002/rnc.3030
  • Raissi, T., Efimov, D., & Zolghadri, A. (2012). Interval state estimation for a class of nonlinear systems. IEEE Transactions on Automatic Control, 57(1), 260–265. https://doi.org/10.1109/TAC.2011.2164820
  • Rotondo, D., Fernandez-Canti, R. M., Tornil-Sin, S., Blesa, J., & Puig, V. (2016). Robust fault diagnosis of proton exchange membrane fuel cells using a Takagi-Sugeno interval observer approach. International Journal of Hydrogen Energy, 41(4), 2875–2886. https://doi.org/10.1016/j.ijhydene.2015.12.071
  • Yi, Z., Xie, W., Khan, A., & Xu, B. (2020). Fault detection and diagnosis for a class of linear time-varying discrete-time uncertain systems using interval observers. Proc. 39th Chinese Control Conf., Shenyang, China, July 27–29, 4124–4128.
  • Zhang, Z., & Yang, G. (2017a). Fault detection for discretetime LPV systems using interval observers. International Journal of Systems Science, 48(14), 2921–2935. https://doi.org/10.1080/00207721.2017.1363926
  • Zhang, Z., & Yang, G. (2017b). Interval observer-based fault isolation for discrete-time fuzzy interconnected systems with unknown interconnections. IEEE Transactions on Cybernetics, 47(9), 2413–2424. https://doi.org/10.1109/TCYB.2017.2707462
  • Zheng, G., Efimov, D., & Perruquetti, W. (2013). Interval state estimation for uncertain nonlinear systems. Proc. IFAC Nolcos 2013. Toulouse, France.
  • Zhirabok, A. N., Shumskii, A. E., Solyanik, S. P., & Suvorov, A. Y. (2017). Design of nonlinear robust diagnostic observers. Automation and Remote Control, 78(9), 1572–1584. https://doi.org/10.1134/S000511791709003X
  • Zhirabok, A., & Shumsky, A. (2019). Nonparametric method for diagnosis of nonlinear dynamic systems. Automation and Remote Control, 80(2), 217–233. https://doi.org/10.1134/S0005117919020024
  • Zhirabok, A., Shumsky, A., & Scherbatyuk, A. (2018). Nonparametric methods for fault diagnosis in dynamic systems. International Journal of Robust and Nonlinear Control, 28(17), 5424–5436. https://doi.org/10.1002/rnc.4329
  • Zhirabok, A., Zuev, A., & Kim, C. (2022). Method to design interval observers for linear time-invariant systems. Journal of Computer and Systems Sciences International, 61(4), 485–495. https://doi.org/10.1134/S1064230722040153

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.