Alvarado-Mendez, Pedro-Eusebio | Tecnológico Nacional de México/CENIDET |
Astorga-Zaragoza, Carlos | Tecnológico Nacional de México/CENIDET |
Aguilera Gonzalez, Adriana | Institute Of Technology |
Osorio-Gordillo, Gloria-Lilia | Centro Nacional de Investigación y Desarrollo Tecnológico |
Reyes-Reyes, Juan | Centro Nacional de Investigación y Desarrollo Tecnológico |
https://doi.org/10.58571/CNCA.AMCA.2023.051
Resumen: This work presents the design of an adaptive observer for a class of Lipschitz nonlinear systems, where the observer is able to estimate more than one unknown parameter. Thanks to this, it is possible to estimate the system states, which facilitates the monitoring of nonlinear Lipschitz systems. The proposed observer is tested for monitoring a semiactive suspension, in order to know the stiffness parameters of the tire and chassis, allowing the detection of possible anomalies in the system. To ensure observer stability, the gains are calculated by LMI obtained by Lyapunov analysis. The proposed observer is evaluated by estimating the unknown states and parameters of a mechanical system allowing monitoring of its performances.
![Estimation of Multiple Unknown Parameters Using Adaptive Observers for Lipschitz Nonlinear Systems](/wp-content/uploads/2022/04/logotipo_amca100.png)
¿Cómo citar?
Alvarado-Mendez, Pedro-Eusebio; Astorga-Zaragoza, Carlos; Aguilera Gonzalez, Adriana; Osorio-Gordillo, Gloria-Lilia; Reyes-Reyes, Juan. Estimation of Multiple Unknown Parameters Using Adaptive Observers for Lipschitz Nonlinear Systems. Memorias del Congreso Nacional de Control Automático, pp. 199-204, 2023. https://doi.org/10.58571/CNCA.AMCA.2023.051
Palabras clave
Sistemas Adaptables; Control de Sistemas No Lineales; Detección y Aislamiento de Fallas
Referencias
- Besan,con, G. (2000). Remarks on nonlinear adaptive observer design. Systems & Control Letters, 41(4), 271-280.
- Bonargent, T., Menard, T., Gehan, O., and Pigeon, E. (2021). Adaptive observer design for a class of Lipschitz nonlinear systems with multirate outputs and uncertainties: Application to attitude estimation with gyro bias. International Journal of Robust and Nonlinear Control, 31(8), 3137-3162.
- Ekramian, M., Hosseinnia, S., and Sheikholeslam, F. (2011). Observer design for non-linear systems based on a generalised Lipschitz condition. IET Control Theory & Applications, 5(16), 1813-1818.
- Ekramian, M., Sheikholeslam, F., Hosseinnia, S., and Yazdanpanah, M.J. (2013). Adaptive state observer for Lipschitz nonlinear systems. Systems & Control Letters, 62(4), 319-323.
- Guo, S., Yang, S., and Pan, C. (2006). Dynamic modeling of magnetorheological damper behaviors. Journal of Intelligent Material Systems and Structures, 17(1), 3-14.
- Ibrir, S. (2010). Global estimation of nonlinear systems with unknown-input coefficients. In 2010 IEEE International Symposium on Intelligent Control, 2326-2331. IEEE.
- Kozachek, O., Bobtsov, A., and Nikolaev, N. (2023). Adaptive observer of state variables of a nonlinear time varying system with unknown constant parameters. arXiv preprint arXiv:2305.15504.
- Martínez, J.C.T., Varrier, S., Menéndez, R.M., and Sename, O. (2016). Control tolerante a fallas en una suspensión automotriz semi-activa. Revista Iberoamericana de Automática e Informática Industrial, 13(1), 56-66.
- Shi, N., Chen, Z., Niu, M., He, Z., Wang, Y., and Cui, J. (2022). State-of-charge estimation for the lithium-ion battery based on adaptive extended Kalman filter using improved parameter identification. Journal of Energy Storage, 45, 103518.
- Vélez-Landa, L., Hernández de León, H., Astorga-Zaragoza, C., Bermúdez-Hernández, J., López-Estrada, F., and Adam-Medina, M. (2019). Observador adaptable para la estimación simultánea de parámetros en cultivos de microalgas.
- Zhang, J., Swain, A.K., and Nguang, S.K. (2014). Robust H1 adaptive descriptor observer design for fault estimation of uncertain nonlinear systems. Journal of the Franklin Institute, 351(11), 5162-5181.