Robust fault reconstruction using sliding mode observers with nonlinear nominal systems

Pedro Gasga; Daniel Quintana; Samuel Goḿez-Peñate; Miguel Bernal

doi:10.1016/j.isatra.2023.10.004

Robust fault reconstruction using sliding mode observers with nonlinear nominal systems

ISA Trans. 2023 Dec:143:94-102. doi: 10.1016/j.isatra.2023.10.004. Epub 2023 Oct 11.

Authors

Pedro Gasga¹, Daniel Quintana², Samuel Goḿez-Peñate¹, Miguel Bernal³

Affiliations

¹ Dept. of Electronics Engineering at Tecnológico Nacional de México, Tuxtla Gutiérrez, TURIX-Dynamics Diagnosis and Control Group, Carr. Panamericana km 1080, 29050, Tuxtla Gutiérrez, Mexico.
² Dept. of Electrical and Electronics Engineering of the Sonora Institute of Technology, 5 de Febrero 818 Sur, C.P. 85000, Cd. Obregon, Mexico.
³ Dept. of Electrical and Electronics Engineering of the Sonora Institute of Technology, 5 de Febrero 818 Sur, C.P. 85000, Cd. Obregon, Mexico. Electronic address: miguel.bernal@itson.edu.mx.

PMID: 37852847
DOI: 10.1016/j.isatra.2023.10.004

Abstract

This paper is concerned with fault reconstruction based on sliding mode observers; its contribution is twofold: on the one hand, it develops a novel sliding mode observer whose nominal system is nonlinear, thus relaxing former limitations on the subject, namely, rank restrictions, linear outputs, and conservative bounds; on the other hand, based on the referred sliding mode observer, a novel robust fault reconstruction scheme is constructed which can solve a variety of problems that former methodologies cannot treat. Nonlinearities are cast as convex expressions, which enables obtaining design conditions in the form of linear matrix inequalities. Examples are provided to compare the proposal with former methodologies, thus highlighting the contributions.

Keywords: Convex model; Linear matrix inequality; Nonlinear observer; Sliding modes.