International Journal of Control, Automation, and Systems 2024; 22(3): 731-743
https://doi.org/10.1007/s12555-021-1119-4
© The International Journal of Control, Automation, and Systems
In this paper, an improved maximum correntropy Kalman filter (IMCKF) algorithm is proposed to enhance the estimation accuracy of conventional correntropy based Kalman filter against the non-Gaussian noise. To increase the proposed algorithm estimation precision, a novel cost function is introduced based on weighted factors. Then the IMCKF algorithm is put forward and derived in detail. Furthermore, the stochastic boundness of the estimation error is discussed to illustrate the IMCKF algorithm’s stability. Finally, simulation results demonstrate that the proposed IMCKF algorithm increases the estimation precision and robustness performance in contrast to the conventional Gaussian Sum Kalman filter and maximum correntropy Kalman filter.
Keywords Correntropy, Kalman filter, stochastic boundedness, weighted factors.
International Journal of Control, Automation, and Systems 2024; 22(3): 731-743
Published online March 1, 2024 https://doi.org/10.1007/s12555-021-1119-4
Copyright © The International Journal of Control, Automation, and Systems.
Xuehua Zhao, Dejun Mu, Zhaohui Gao, Jiahao Zhang*, and Guo Li
Chinese Academy of Sciences
In this paper, an improved maximum correntropy Kalman filter (IMCKF) algorithm is proposed to enhance the estimation accuracy of conventional correntropy based Kalman filter against the non-Gaussian noise. To increase the proposed algorithm estimation precision, a novel cost function is introduced based on weighted factors. Then the IMCKF algorithm is put forward and derived in detail. Furthermore, the stochastic boundness of the estimation error is discussed to illustrate the IMCKF algorithm’s stability. Finally, simulation results demonstrate that the proposed IMCKF algorithm increases the estimation precision and robustness performance in contrast to the conventional Gaussian Sum Kalman filter and maximum correntropy Kalman filter.
Keywords: Correntropy, Kalman filter, stochastic boundedness, weighted factors.
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