Interval observer for a class of uncertain nonlinear singular systems

Gang Zheng (1) , Denis Efimov (1) , Francisco Javier Bejarano (2) , Wilfrid Perruquetti (1) , Haoping Wang (3)

1 NON-A - Non-Asymptotic estimation for online systems
2 ESIME-UPT - Escuela Superior de Ingeniería Mecánica y Eléctrica - Unidad Profesional Ticomán
3 NJUST - Nanjing University of Science and Technology

This paper investigates the problem of observer design for a general class of linear singular time-delay systems, in which the time delays are involved in the state, the output and the known input (if there exists). The involvement of the delay could be multiple which however is rarely studied in the literature. Sufficient conditions are proposed which guarantees the existence of a Luenberger-like observer for the general system.

Mots clés: commensurate delays; observer; Delayed singular systems

Domaines: Automatique

Gang Zheng, Denis Efimov, Francisco Javier Bejarano, Wilfrid Perruquetti, Haoping Wang. Interval observer for a class of uncertain nonlinear singular systems. Automatica, 2016, 71, pp.159-168. ⟨10.1016/j.automatica.2016.04.002⟩. ⟨hal-01292475⟩