Adaptive fractional-order Kalman filters for continuous-time nonlinear fractional-order systems with unknown parameters and fractional-orders

DOI10.1080/00207721.2021.1904303zbMath1483.93323OpenAlexW3140095931MaRDI QIDQ5029128

Chuang Yang, Xuanang Li, Xiao-Min Huang, Zhe Gao

Publication date: 11 February 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2021.1904303

zbMATH Keywords

state estimationextended Kalman filtercubature Kalman filternonlinear fractional-order systemsunknown parameters and fractional-order

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Adaptive control/observation systems (93C40) Fractional derivatives and integrals (26A33) Identification in stochastic control theory (93E12) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Filtering-based gradient joint identification algorithms for nonlinear fractional-order models with colored noises, Adaptive finite-time synchronisation of variable-order fractional chaotic systems for secure communication, A robust meta-heuristic adaptive Bi-CGSTAB algorithm to online estimation of a three DoF state–space model in the presence of disturbance and uncertainty

Cites Work

• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Frequency-domain adaptive Kalman filter for acoustic echo control in hands-free telephones
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Practical tracking control of linear motor via fractional-order sliding mode
• A new collection of real world applications of fractional calculus in science and engineering
• Macroeconomic models with long dynamic memory: fractional calculus approach
• A modified fractional-order unscented Kalman filter for nonlinear fractional-order systems
• The extended Kalman filter as an exponential observer for nonlinear systems
• Switched State Model Predictive Control of Fractional‐Order Nonlinear Discrete‐Time Systems
• Cubature Kalman Filters
• Kalman Filtering
• Unnamed Item
• Unnamed Item