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H∞ State and Parameter Estimation for Lipschitz Nonlinear Systems

Authors :
Pedro Eusebio Alvarado-Méndez
Carlos M. Astorga-Zaragoza
Gloria L. Osorio-Gordillo
Adriana Aguilera-González
Rodolfo Vargas-Méndez
Juan Reyes-Reyes
Source :
Mathematical and Computational Applications, Vol 29, Iss 4, p 51 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

A H∞ robust adaptive nonlinear observer for state and parameter estimation of a class of Lipschitz nonlinear systems with disturbances is presented in this work. The objective is to estimate parameters and monitor the performance of nonlinear processes with model uncertainties. The behavior of the observer in the presence of disturbances is analyzed using Lyapunov stability theory and by considering an H∞ performance criterion. Numerical simulations were carried out to demonstrate the applicability of this observer for a semi-active car suspension. The adaptive observer performed well in estimating the tire rigidity (as an unknown parameter) and induced disturbances representing damage to the damper. The main contribution is the proposal of an alternative methodology for simultaneous parameter and actuator disturbance estimation for a more general class of nonlinear systems.

Details

Language :
English
ISSN :
29040051, 22978747, and 1300686X
Volume :
29
Issue :
4
Database :
Directory of Open Access Journals
Journal :
Mathematical and Computational Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.05d09452c98244e7bb3e593a18b83738
Document Type :
article
Full Text :
https://doi.org/10.3390/mca29040051