Improved fractional Kalman filter for variable order systems with lossy and delayed network

This paper presents generalization on the Improved Fractional Kalman Filter (ExFKF) for estimation over lossy network with packets delay. This generalization is based on the infinite dimensional form of a linear discrete fractional variable order state-space system and measurements equation augmentation. Some simulation cases are given in order to demonstrate the effectiveness of the proposed algorithms, with improvements in terms of estimation and smoothing results.