Adaptive Fractional-order Unscented Kalman Filters for Nonlinear Fractional-order Systems

被引：0
|
作者：
Yue Miao
Zhe Gao
Chuang Yang
机构：
[1] Liaoning University,School of Mathematics and Statistics
[2] Liaoning University,College of Light Industry
来源：
International Journal of Control, Automation and Systems | 2022年 / 20卷
关键词：
Adaptive Kalman filter; fractional-order unscented Kalman filter; unknown fractional-order; unknown parameters;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the Grüwald-Letnikov method is used to discretize a continuous-time nonlinear fractional-order system with unknown parameters and fractional-order, and an adaptive fractional-order unscented Kalman filter is proposed. Taking the unknown fractional-order and parameters as the augmented states, the augmented state equation is established to solve the problem on the unknown fractional-order and parameters. In order to improve the accuracy of state estimation, an adaptive fractional-order unscented Kalman filter is designed to deal with the nonlinear functions by using the unscented transformation. Meanwhile, the problem on state estimation for the estimated system with a non-differentiable nonlinear functions is also solved. Finally, the effectiveness of the proposed algorithm is verified by two simulation examples.
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页码：1283 / 1293
页数：10
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