Robust estimation of multiplicative faults on actuators based on Takagi-Sugeno systems with unmeasurable premise variables

https://doi.org/10.58571/CNCA.AMCA.2022.020

Resumen: In this paper, a simultaneous estimation of states and multiplicative faults on actuators is considered based on Takagi – Sugeno observer with unmeasurable premise variables. Observer design is derived of matrix linear inequalities deduced by method Lyapunov and a $H_infty$ performance criterion to minimize the effect of perturbation and uncertainty generated by the unmeasurable premise variables. The methodology is demonstrated by a nonlinear model of a helicopter to show performance of the observer in the presence of faults and disturbances.

¿Cómo citar?

P. Gasga, S. Gómez-Peñate, M. Bernal & F. R. López-Estrada. Robust estimation of multiplicative faults on actuators based on Takagi-Sugeno systems with unmeasurable premise variables. Memorias del Congreso Nacional de Control Automático, pp. 103-108, 2022. https://doi.org/10.58571/CNCA.AMCA.2022.020

Palabras clave

Detección y Aislamiento de Fallas

• Behzad, H., Sadrnia, M.A., Casavola, A., Ramezani, A., and Darabi, A. (2022). Multiplicative fault estimation based on the energetic approach for linear discrete-time systems. International Journal of Control, 95(3), 703–715.
• Ben Brahim, A., Dhahri, S., Ben Hmida, F., and Sellami, A. (2018). Multiplicative fault estimation-based adaptive sliding mode fault-tolerant control design for nonlinear systems. Complexity, 2018.
• Bezzaoucha, S., Marx, B., Maquin, D., and Ragot, J. (2013). State and multiplicative sensor fault estimation for nonlinear systems. In 2013 Conference on Control and Fault-Tolerant Systems (SysTol), 456–461. IEEE.
• Chen, J. and Patton, R.J. (2012). Robust model-based fault diagnosis for dynamic systems, volume 3. Springer Science & Business Media.
• Ichalal, D., Marx, B., Ragot, J., and Maquin, D. (2008). Design of observers for takagi-sugeno systems with immeasurable premise variables: an L2 approach. IFAC Proceedings Volumes, 41(2), 2768–2773.
• López-Estrada, F.R., Rotondo, D., and Valencia-Palomo, G. (2019). A review of convex approaches for control, observation and safety of linear parameter varying and takagi-sugeno systems. Processes, 7(11), 814.
• Nguyen, M.Q., Sename, O., and Dugard, L. (2015). A switched lpv observer for actuator fault estimation. IFAC-PapersOnLine, 48(26), 194–199.
• Nguyen, M.Q., Sename, O., and Dugard, L. (2016). Comparison of observer approaches for actuator fault estimation in semi-active suspension systems. In 2016 3rd Conference on Control and Fault-Tolerant Systems (SysTol), 227–232. IEEE.
• Ohtake, H., Tanaka, K., and Wang, H.O. (2003). Fuzzy modeling via sector nonlinearity concept. Integrated Computer-Aided Engineering, 10(4), 333–341.
• Reyes-Martínez, J., Astorga-Zaragoza, C.M., Madrigal-Espinosa, G., Chadli, M., Vargas-Méndez, R.A., Osorio-Gordillo, G.L., and Reyes-Reyes, J. (2021). Actuator fault compensation based on a takagi-sugeno pi observer: Application to a thermoelectric steam generator. International Journal of Fuzzy Systems, 1–12.
• Rotondo, D., L´opez-Estrada, F.R., Nejjari, F., Ponsart, J.C., Theilliol, D., and Puig, V. (2016). Actuator multiplicative fault estimation in discrete-time lpv systems using switched observers. Journal of the Franklin Institute, 353(13), 3176–3191.
• Sadala, S. and Patre, B. (2018). A new continuous sliding mode control approach with actuator saturation for control of 2-dof helicopter system. ISA transactions, 74, 165–174.
• Tan, C.P. and Edwards, C. (2004). Multiplicative fault reconstruction using sliding mode observers. In 2004 5th Asian Control Conference (IEEE Cat. No. 04EX904), volume 2, 957–962. IEEE.
• Wang, H.O. and Tanaka, K. (2004). Fuzzy control systems design and analysis: A linear matrix inequality approach. John Wiley & Sons.
• Xia, Y. and Zheng, W.X. (2015). Novel parameter estimation of autoregressive signals in the presence of noise. Automatica, 62, 98–105.
• Zhu, X. and Li, D. (2021). Robust fault estimation for a 3-dof helicopter considering actuator saturation. Mechanical Systems and Signal Processing, 155, 107624.