Fractional Kalman filter algorithm for the states, parameters and order of fractional system estimation

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Fractional order sliding mode control with reaching law approach (2010, methodology): “The fractional order counterpart of the Kalman filter, a critically important tool in automatic control systems, is discussed in [10].”
Minimal modified energy control for fractional linear control systems with the Caputo derivative (2010, methodology): “The state-space description of fractional order control systems is developed in [7, 12, 14, 15, 22, 23].”
Stability of Discrete Fractional Order State-space Systems (2008, unknown): “(Sierociuk and Dzieliński, 2006).”
Variable-Order Fractional Operators for Adaptive Order and Parameter Estimation (2014, methodology): “Instrumental variable method has been utilized in [22]–[24], Kalman filtering in [18] and the use of modulating functions was considered in [7].”