Set-Valued State Estimation of Linear Discrete-Time Systems with Linear Invariant
Résumé
This note proposes the use of invariant relationships between the state variables of discrete-time systems to improve the tightness of a class of set-membership state estimators. Thanks to these relationships, contractor algorithms could be designed to discard almost all state vectors that are not compatible with the model-based predicted state enclosure.Moreover, this contribution introduces a less computational complexity algorithm to perform efficiently the prediction stage of the proposed set-valued state estimator.