265
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

Fractional-order Kalman filters for continuous-time linear and nonlinear fractional-order systems using Tustin generating function

Pages 960-974 | Received 07 Jan 2017, Accepted 05 Sep 2017, Published online: 20 Sep 2017

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Zhenlong Wu, Jairo Viola, Ying Luo, YangQuan Chen & Donghai Li. (2024) Robust fractional-order [proportional integral derivative] controller design with specification constraints: more flat phase idea. International Journal of Control 97:1, pages 111-129.
Read now
Chenfei Kang, Jun-Guo Lu, Xu-Yi Qiu & Qing-Hao Zhang. (2023) Novel robust stability conditions of fractional-order systems with structured uncertain parameters based on parameter-dependent functions: the 0<α<1 case. International Journal of General Systems 52:2, pages 169-190.
Read now
Shalabh K. Mishra, Dharmendra K. Upadhyay & Maneesha Gupta. (2021) Search of Optimal s-to-z Mapping Function for IIR Filter Designing without Frequency Pre-warping. IETE Journal of Research 67:6, pages 853-861.
Read now

Articles from other publishers (12)

Jiaxing Zhao, Jian Wang, Houzeng Han & Tao Jiang. (2024) A study on the model of robust fractional-order extended Kalman filtering with gross error. GPS Solutions 28:2.
Crossref
Bo Zhang, Guangming Yan & Xiaojun Sun. (2023) SCI Fusion Descriptor Fractional Order Kalman Filter. SCI Fusion Descriptor Fractional Order Kalman Filter.
Sarthak Chatterjee, Andrea Alessandretti, Antonio Pedro Aguiar & Sérgio Pequito. (2023) Discrete-Time Fractional-Order Dynamical Networks Minimum-Energy State Estimation. IEEE Transactions on Control of Network Systems 10:1, pages 226-237.
Crossref
Tongyu Zhao, Guanghui Sun, Biqing Qi, Xiangyu Shao & Dong Zhou. (2022) Deep Learning with Fractional Order Operaters Lagrangian Method for Space Robot based on Sliding Mode-based Fixed-time Control. Deep Learning with Fractional Order Operaters Lagrangian Method for Space Robot based on Sliding Mode-based Fixed-time Control.
Kui Xiao, Wentao Yu, Feng Qu, Jianfang Lian, Chaofan Liu & Weirong Liu. (2022) Adaptive fractional‐order unscented Kalman filter with unknown noise statistics. International Journal of Adaptive Control and Signal Processing 36:10, pages 2519-2536.
Crossref
Xiaomin Huang & Zhe Gao. (2022) Full adaptive Kalman filters for nonlinear fractional-order systems containing unknown parameters and fractional-orders. Transactions of the Institute of Measurement and Control 44:13, pages 2557-2573.
Crossref
Bo Xu, Libing Bai, Kai Chen & Lulu Tian. (2022) A resource saving FPGA implementation approach to fractional Kalman filter. IET Control Theory & Applications 16:13, pages 1352-1363.
Crossref
Bo Zhang, Haibin Shen, Guangming Yan & Xiaojun Sun. (2022) Track Fusion Fractional Kalman Filter for the Multisensor Descriptor Fractional Systems. Computational Intelligence and Neuroscience 2022, pages 1-8.
Crossref
Cristina I. Muresan, Isabela R. Birs, Eva H. Dulf, Dana Copot & Liviu Miclea. (2021) A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques. Sensors 21:17, pages 5920.
Crossref
Hang Geng, Zidong Wang, Xiaojian Yi, Fuad E. Alsaadi & Yuhua Cheng. (2021) Tobit Kalman filtering for fractional‐order systems with stochastic nonlinearities under Round‐Robin protocol. International Journal of Robust and Nonlinear Control 31:6, pages 2348-2370.
Crossref
Fanghui Liu, Zhe Gao, Chao Yang & Ruicheng Ma. (2020) Extended Kalman Filters for Continuous-time Nonlinear Fractional-order Systems Involving Correlated and Uncorrelated Process and Measurement Noises. International Journal of Control, Automation and Systems 18:9, pages 2229-2241.
Crossref
Xiaomin Huang, Zhe Gao, Chao Yang & Fanghui Liu. (2020) State Estimation of Continuous-Time Linear Fractional-Order Systems Disturbed by Correlated Colored Noises via Tustin Generating Function. IEEE Access 8, pages 18362-18373.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.