International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2018
Volume 28 - 2018

State filtering for networked control systems subject to switching disturbances

Karim Chabir, Taouba Rhouma, Jean Yves Keller, Dominique Sauter

Abstract
State estimation of stochastic discrete-time linear systems subject to unknown inputs has been widely studied, but few works take into account disturbances switching between unknown inputs and constant biases. We show that such disturbances affect a networked control system subject to deception attacks on the control signals transmitted by the controller to the plant via unreliable networks. This paper proposes to estimate the switching disturbance from an augmented state version of the intermittent unknown input Kalman filter. The sufficient stochastic stability conditions of the obtained filter are established when the arrival binary sequence of data losses follows a Bernoulli random process.

Keywords
Kalman filter, unknown inputs, constant bias, switching disturbances, linear system, covariance matrix

DOI
10.2478/amcs-2018-0036