State filtering for discrete-time stochastic linear systems subject to random cyber attacks and losses of measurements

Jean-Yves Keller (1) , Dominique Sauter (1) , Karim Chabir (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper proposes an unbiased minimum variance state filter for networked controlled stochastic linear discrete-time systems when the actuator and sensor signals, travelling over an unreliable communication channel, may be totally or partially lost. The proposed strategy for the filter design consists in representing the random losses of control as a random occurrence of intermittent unknown inputs. The existence condition of the unknown input Kalman filter is ensured by an adequate choice of the partial measurements transmitted to the embedded controller via a secure communication network. The stochastic stability of the obtained filter is studied when Bernoulli processes governs the arrival of intermittent unknown inputs and measurements. A numerical example illustrates the obtained results.

Mots clés: Kalman filter; Network controlled system; cyber attacks; intermittent unknown inputs

Domaines: Automatique / Robotique

Jean-Yves Keller, Dominique Sauter, Karim Chabir. State filtering for discrete-time stochastic linear systems subject to random cyber attacks and losses of measurements. 20th Mediterranean Conference on Control and Automation, MED 2012, Jul 2012, Barcelone, Spain. pp.935-940, ⟨10.1109/MED.2012.6265758⟩. ⟨hal-00758576⟩