Generalized Functional Observer for Descriptor Nonlinear Systems—A Takagi-Sugeno Approach

C. Ríos-Ruiz; G.-L. Osorio-Gordillo; C.-M. Astorga-Zaragoza; M. Darouach; H. Souley-Ali; J. Reyes-Reyes

LAPSE

Living Archive for Process Systems Engineering

LAPSE:2023.36253

Published Article

LAPSE:2023.36253

Generalized Functional Observer for Descriptor Nonlinear Systems—A Takagi-Sugeno Approach

C. Ríos-Ruiz, G.-L. Osorio-Gordillo, C.-M. Astorga-Zaragoza, M. Darouach, H. Souley-Ali, J. Reyes-Reyes

July 7, 2023

This paper concerns the design of a generalized functional observer for Takagi−Sugeno descriptor systems. Furthermore, a generalized structure is herein introduced for purposes of estimating linear functions of the states of descriptor nonlinear systems represented into a Takagi−Sugeno descriptor form. The originality of the functional generalized observer structure is that it provides additional degrees of freedom in the observer design, which allows for improvements in the estimation against parametric uncertainties. The effectiveness of the developed design is illustrated by a nonlinear model of a single link robotic arm with a flexible link. A comparison between the functional generalized observer and the functional proportional observer is given to demonstrate the observer performances.

Record ID

LAPSE:2023.36253

Keywords

descriptor systems, functional observers, Takagi–Sugeno systems

Subject

Process Design

Suggested Citation

Ríos-Ruiz C, Osorio-Gordillo GL, Astorga-Zaragoza CM, Darouach M, Souley-Ali H, Reyes-Reyes J. Generalized Functional Observer for Descriptor Nonlinear Systems—A Takagi-Sugeno Approach. (2023). LAPSE:2023.36253

Author Affiliations

Ríos-Ruiz C: Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Cuernavaca 62490, Mexico; CRAN-CNRS (UMR 7039), Université de Lorraine, IUT Longwy, 186, Rue de Lorraine, 54400 Cosnes et Romain, France
Osorio-Gordillo GL: Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Cuernavaca 62490, Mexico [ORCID]
Astorga-Zaragoza CM: Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Cuernavaca 62490, Mexico [ORCID]
Darouach M: CRAN-CNRS (UMR 7039), Université de Lorraine, IUT Longwy, 186, Rue de Lorraine, 54400 Cosnes et Romain, France
Souley-Ali H: CRAN-CNRS (UMR 7039), Université de Lorraine, IUT Longwy, 186, Rue de Lorraine, 54400 Cosnes et Romain, France
Reyes-Reyes J: Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Cuernavaca 62490, Mexico

Journal Name

Processes

Volume

11

Issue

6

First Page

1707

Year

2023

Publication Date

2023-06-02