On high-gain observer design for nonlinear systems with delayed output measurements
KAUST DepartmentComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Science & Engineering Division (CEMSE), King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia.
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Electrical and Computer Engineering Program
Estimation, Modeling and ANalysis Group
KAUST Grant NumberBAS/1/1627-01-01
Embargo End Date2024-04-22
Permanent link to this recordhttp://hdl.handle.net/10754/677920
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AbstractIn this paper, we propose a high-gain observer design for nonlinear systems with time-varying delayed output measurements. Based on a recent high-gain like observer design method, called HG/LMI observer, a larger bound of the time-delay is allowed compared to that obtained by using the standard high-gain methodology. Such a HG/LMI observer adopts a lower value of the tuning parameter, which results in the reduction of the value of the observer gain, and an increase in the maximum bound of the delay required to ensure exponential convergence. Indeed, an explicit relation between the maximum bound of the delay and the observer tuning parameter is derived by using a Lyapunov–Krasovskii functional jointly with the Halanay inequality. Such a relation shows clearly the superiority of HG/LMI observer design methodology. An application to nonlinear systems with sampled measurements is provided. Furthermore, the proposed methodology is extended to systems with nonlinear outputs. This extension provides more general synthesis conditions and encompasses the linear case as a particular situation. Finally, two numerical examples are proposed to illustrate the performance of the proposed observer design procedure, and comparison to standard approaches is also provided.
CitationAdil, A., Hamaz, A., N’Doye, I., Zemouche, A., Laleg-Kirati, T.-M., & Bedouhene, F. (2022). On high-gain observer design for nonlinear systems with delayed output measurements. Automatica, 141, 110281. https://doi.org/10.1016/j.automatica.2022.110281
SponsorsThis work was partially funded by the ANR, France agency via the project ArtISMo ANR-20-CE48-0015 coordinated by A. Zemouche. This work has been partially supported by the King Abdullah University of Science and Technology (KAUST), Saudi Arabia, Base Research Fund (BAS/1/1627-01-01) to Taous-Meriem Laleg-Kirati. A. Zemouche thanks the CRAN-UMR CNRS 7039, and the IUT Henri Poincaré de Longwy for the partial support of this work.