[YRG17] Robust state estimation for singularly perturbed systems
Revue Internationale avec comité de lecture :
Journal International Journal of Control,
vol. 90(3),
pp. 582-595,
2017, (
doi:
http://dx.doi.org/10.1080/00207179.2016.1186842)
Mots clés: Interval observers, Singularly perturbed systems, Uncertainties, Cooperativity, Robustness
Résumé:
This paper deals with the design of interval observers for singularly perturbed linear systems. The full-order system is firstly decoupled into slow and fast subsystems. Then, using the cooperativity theory, an
interval observer is designed for the slow and fast subsystems assuming that the measurement noise and
the disturbances are bounded and the singular perturbed parameter is uncertain. This decoupling leads
to two observers that estimate the lower and upper bounds for the feasible state domain. A numerical
example shows the efficiency of the proposed technique.