H∞ adaptive observer for nonlinear systems with disturbed output

https://doi.org/10.58571/CNCA.AMCA.2022.014

Resumen: This paper presents the design of an adaptive robust observer for a class of nonlinear system considering that the output is affected by a perturbation. The observer is able to estimate the state vector and the value of an unknown parameter present in a system. This allows to reduce the effect of the perturbation in the system output. A Lyapunov-like analysis was performed to guarantee the stability of the observer. The gains are computed by means of LMI and satisfying the performance of the H∞ criterion. The proposed observer is evaluated by estimating the state vector and an unknown parameter of an academic example, reducing considerably the presence of disturbances at the output.

¿Cómo citar?

Alvarado-Mendez, P., Astorga-Zaragoza, C., Hernandez-Gonzalez, O., Osorio-Gordillo, G. & Ramirez-Rasgado, F. H∞ adaptive observer for nonlinear systems with disturbed output. Memorias del Congreso Nacional de Control Automático, pp. 152-156, 2022. https://doi.org/10.58571/CNCA.AMCA.2022.014

Palabras clave

Sistemas Adaptables; Control de Sistemas No Lineales; Control Robusto

• 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.
• Bzioui, S. and Channa, R. (2021). An adaptive observer design for nonlinear systems affected by unknown disturbance with simultaneous actuator and sensor faults. application to a CSTR.
• 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.
• Franco, R., Rıos, H., de Loza, A.F., Cassany, L., Gucik-Derigny, D., Cieslak, J., and Henry, D. (2021). Adaptive estimation for an insulin-glucose model.
• Li, W., Yao, X., and Krstic, M. (2020). Adaptivegain observer-based stabilization of stochastic strictfeedback systems with sensor uncertainty. Automatica, 120, 109112.
• Wang, H., Wang, Q., Zhang, H., and Han, J. (2022). H-infinity observer for vehicle steering system with uncertain parameters and actuator fault. In Actuators, volume 11, 43. MDPI.
• Yan, S., Sun, W., Yu, X., and Gao, H. (2021). Adaptive sensor fault accommodation for vehicle active suspensions via partial measurement information. IEEE Transactions on Cybernetics.
• 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.
• Zheng, Y., Liu, Y., Song, R., Ma, X., and Li, Y. (2022). Adaptive neural control for mobile manipulator systems based on adaptive state observer. Neurocomputing.