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Título del libro: European Control Conference (piscataway, N.J. Online), Ecc
Título del capítulo: A Third-Order BL-Homogeneous Sliding Mode Observer for Uncertain Triangular Nonlinear Systems

Autores UNAM:
OSCAR TEXIS LOAIZA; JAIME ALBERTO MORENO PEREZ; JOSE ANGEL MERCADO URIBE;
Autores externos:

Idioma:

Año de publicación:
2025
Palabras clave:

Finite-time; High-gain observers; Input nonlinearities; Non-Lipschitz nonlinearities; Sliding modes; Sliding-mode observer; Super twisting observer; Third order; Uncertain nonlinear systems; Unknown inputs


Resumen:

© 2025 EUCA.In this paper, we propose a global third-order homogeneous in the bi-limit sliding mode observer (BL-H SMO) that can estimate the states of an uncertain nonlinear system with unknown inputs in finite time. The system must be strongly observable w.r.t. unknown inputs (UIs) and uniformly observable w.r.t. known inputs. To handle the UIs and non-Lipschitz nonlinearities, the proposed observer combines sliding-mode and high-gain observers, extending the generalized super-twisting observer. The convergence of the BL-H SMO to the system states is proven through a Lyapunov function. Finally, to showcase the effectiveness of the proposed method, the paper includes an academic example and a practical example, namely a three-phase converter with LCL-filter.


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