Dual estimation of fractional variable order based on the unscented fractional order Kalman filter for direct and networked measurements

DOI10.1007/s00034-016-0255-1zbMath1345.93158DBLPjournals/cssp/SierociukMMS16OpenAlexW2273004688WikidataQ59472384 ScholiaQ59472384MaRDI QIDQ318543

Grzegorz Sarwas, Wiktor Malesza, Michal Macias, Dominik Sierociuk

Publication date: 5 October 2016

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-016-0255-1

zbMATH Keywords

estimationKalman filterfractional calculusvariable order derivativeanalog model

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Estimation and detection in stochastic control theory (93E10)

Related Items (6)

Fractional-order Kalman filters for continuous-time fractional-order systems involving colored process and measurement noises ⋮ Fractional-order Kalman filters for continuous-time linear and nonlinear fractional-order systems using Tustin generating function ⋮ \(q\)-state space least mean family of algorithms ⋮ On the Output-Additive Switching Strategy for a New Variable Type and Order Difference ⋮ Cubature Kalman filters for nonlinear continuous-time fractional-order systems with uncorrelated and correlated noises ⋮ Reduced order Kalman filter for a continuous-time fractional-order system using fractional-order average derivative

Uses Software

• Fractional Variable Order Derivative Simulink

Cites Work

• Fractional order estimation schemes for fractional and integer order systems with constant and variable fractional order colored noise
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• A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter
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• Variable order and distributed order fractional operators
• Derivation, interpretation, and analog modelling of fractional variable order derivative definition
• Modelling heat transfer in heterogeneous media using fractional calculus
• Stability of Discrete Fractional Order State-space Systems
• Optimal Estimation in Networked Control Systems Subject to Random Delay and Packet Drop
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