Observability of singular time-delay systems with unknown inputs

Francisco Javier Bejarano (1) , Gang Zheng (2, 3)

1 ESIME-UPT - Escuela Superior de Ingeniería Mecánica y Eléctrica - Unidad Profesional Ticomán
2 NON-A - Non-Asymptotic estimation for online systems
3 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189

In this manuscript we give sufficient conditions guaranteeing the observability of singular linear systems with commensurable delays affected by unknown inputs appearing in both the state equation and the output equation. These conditions allow for the reconstruction of the entire state vector using past and actual values of the system output. The obtained conditions coincide with known necessary and sufficient conditions of singular linear systems without delays.

Mots clés: Commensurate delay systems; Observability analysis; Singular systems; Polynomial ring

Domaines: Automatique

Francisco Javier Bejarano, Gang Zheng. Observability of singular time-delay systems with unknown inputs. Systems and Control Letters, 2016, 89, pp.55-60. ⟨10.1016/j.sysconle.2015.12.002⟩. ⟨hal-01410648⟩