Publications

@article{Rhouma2022241,

title = {A Kalman Filter with Intermittent Observations and Reconstruction of Data Losses},

author = {T. Rhouma and J. -Y. Keller and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85133957250\&doi=10.34768%2famcs-2022-0018\&partnerID=40\&md5=80fc12bc5919a6f70c9e88a7ecdebaad},

doi = {10.34768/amcs-2022-0018},

issn = {1641876X},

year  = {2022},

date = {2022-01-01},

journal = {International Journal of Applied Mathematics and Computer Science},

volume = {32},

number = {2},

pages = {241-253},

publisher = {Sciendo},

abstract = {This paper deals with the problem of joint state and unknown input estimation for stochastic discrete-time linear systems subject to intermittent unknown inputs on measurements. A Kalman filter approach is proposed for state prediction and intermittent unknown input reconstruction. The filter design is based on the minimization of the trace of the state estimation error covariance matrix under the constraint that the state prediction error is decoupled from active unknown inputs corrupting measurements at the current time. When the system is not strongly detectable, a sufficient stochastic stability condition on the mathematical expectation of the random state prediction errors covariance matrix is established in the case where the arrival binary sequences of unknown inputs follow independent random Bernoulli processes. When the intermittent unknown inputs on measurements represent intermittent observations, an illustrative example shows that the proposed filter corresponds to a Kalman filter with intermittent observations having the ability to generate a minimum variance unbiased prediction of measurement losses. © 2022 Taouba Rhouma et al., published by Sciendo.},

note = {cited By 2},

keywords = {Binary sequences; Covariance matrix; Estimation; Forecasting; Kalman filters; Random errors; Stochastic systems, Data loss; Discrete time linear systems; Error covariance matrix; Filter approach; Intermittent observation; Intermittent unknown input; State prediction errors; Stochastics; Unknown inputs; Unknown-input estimations, Linear systems},

pubstate = {published},

tppubtype = {article}

}