Secure State Estimator for Uncertain Discrete-Time Linear Systems Based on Set-Valued Consistency Techniques
Nacim Meslem, Ahmad Hably, Nacim Ramdani · 2024
In a bounded error context, a secure set-valued state estimator for a class of systems described by a linear discrete-time difference inclusion is introduced in this contribution. The proposed design approach is based on set-valued computation combined with elimination by consistency techniques. More formally, we will show that a fusion between data provided by a set-valued predictor and those generated by a set-valued estimator allows one: (i) To obtain guaranteed state enclosures in the presence of additive and bounded state disturbance and measurement noise; (ii) To be able to detect faulty behaviors of the system and (iii) To be insensitive to a certain class of cyber-attacks. A numerical example is introduced to illustrate the performance of the proposed secure set-valued state estimator.