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On the general Kalman filter for discrete time stochastic fractional systems
Authors:Hoda Sadeghian  Hassan Salarieh  Aria Alasty  Ali Meghdari
Affiliation:Center of Excellence in Design, Robotics and Automation, Department of Mechanical Engineering, Sharif University of Technology, PO Box 11155-9567, Tehran, Iran
Abstract:In this paper the derivation of Kalman filter for discrete time-stochastic fractional system is investigated. Based on a novel cumulative vector form model for fractional systems, a general Kalman filter is introduced. The validity of the proposed method has been compared with a previously presented method via simulation results. It is shown that this method can be better applied for discrete time stochastic fractional systems with slower dynamics.
Keywords:Kalman filter  Stochastic system  Fractional order system
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