<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper addresses the design of a state estimation and sensor fault detection, isolation and fault estimation observer for descriptor-linear parameter varying (D-LPV) systems. In contrast to where the scheduling functions depend on some measurable time varying state, the proposed method considers the scheduling function depending on an unmeasurable state vector. In order to isolate, detect and estimate sensor faults, an augmented system is constructed by considering faults to be auxiliary state vectors. An unknown input LPV observer is designed to estimate simultaneously system states and faults. Sufficient conditions to guarantee stability and robustness against the uncertainty provided by the unmeasurable scheduling functions and the influence of disturbances are synthesized via a linear matrix inequality (LMI) formulation by considering H<sub>∞</sub> and Lyapunov approaches. The performances of the proposed method are illustrated through the application to an anaerobic bioreactor model.</p></abstract>

This paper addresses the design of a state estimation and sensor fault detection, isolation and fault estimation observer for descriptor-linear parameter varying (D-LPV) systems. In contrast to where the scheduling functions depend on some measurable time varying state, the proposed method considers the scheduling function depending on an unmeasurable state vector. In order to isolate, detect and estimate sensor faults, an augmented system is constructed by considering faults to be auxiliary state vectors. An unknown input LPV observer is designed to estimate simultaneously system states and faults. Sufficient conditions to guarantee stability and robustness against the uncertainty provided by the unmeasurable scheduling functions and the influence of disturbances are synthesized via a linear matrix inequality (LMI) formulation by considering H∞ and Lyapunov approaches. The performances of the proposed method are illustrated through the application to an anaerobic bioreactor model.

Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: Application to an anaerobic bioreactor

jean-christophe.ponsart.@univ-lorraine.fr

Electronic Department, Technological Institute of Tuxtla Gutierrez (ITTG), Tecnológico Nacional de México Carretera Panamericana km 1080, Col. Terán, CP 29050, Tuxtla Gutiérrez, Chiapas, Mexico

CRAN, UMR 7039, University of Lorraine Campus Sciences, B.P. 70239, 54506 Vandoeuvre-lès-Nancy Cedex, France

National Center of Research and Technological Development (CENIDET), Tecnológico Nacional de México Internado Palmira s/n, Col. Palmira, CP 62490, Cuernavaca, Mor., Mexico

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper addresses the design of a state estimation and sensor fault detection, isolation and fault estimation observer for descriptor-linear parameter...

Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: Application to an anaerobic bioreactor

Published Online: Jun 25, 2015

Page range: 233 - 244

Received: Mar 14, 2014

DOI: https://doi.org/10.1515/amcs-2015-0018

© by Carlos-Manuel Astorga-Zaragoza

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.