Triple Estimation of Fractional Variable Order, Parameters, and State Variables Based on the Unscented Fractional Order Kalman Filter
Abstract
:1. Introduction
2. Discrete Variable Fractional Order State-Space System
3. Triple Estimation Algorithm Based on UFKF Filter
3.1. Dual Estimation Scheme
3.2. Triple Estimation Scheme—The Main Result
3.2.1. Order Estimation Filter KFo
3.2.2. State Estimation Filter KFx
3.2.3. Parameters Estimation Filter KFw
4. Numerical Results
- Noises parameters
- Parameters of the KFx filter
- Parameters of the KFo filter
- Parameters of the KFw filter
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Sierociuk, D.; Macias, M. Triple Estimation of Fractional Variable Order, Parameters, and State Variables Based on the Unscented Fractional Order Kalman Filter. Sensors 2021, 21, 8159. https://doi.org/10.3390/s21238159
Sierociuk D, Macias M. Triple Estimation of Fractional Variable Order, Parameters, and State Variables Based on the Unscented Fractional Order Kalman Filter. Sensors. 2021; 21(23):8159. https://doi.org/10.3390/s21238159
Chicago/Turabian StyleSierociuk, Dominik, and Michal Macias. 2021. "Triple Estimation of Fractional Variable Order, Parameters, and State Variables Based on the Unscented Fractional Order Kalman Filter" Sensors 21, no. 23: 8159. https://doi.org/10.3390/s21238159
APA StyleSierociuk, D., & Macias, M. (2021). Triple Estimation of Fractional Variable Order, Parameters, and State Variables Based on the Unscented Fractional Order Kalman Filter. Sensors, 21(23), 8159. https://doi.org/10.3390/s21238159