Regular Papers

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

Stochastic Stability of the Improved Maximum Correntropy Kalman Filter Against Non-Gaussian Noises

Xuehua Zhao, Dejun Mu, Zhaohui Gao, Jiahao Zhang*, and Guo Li

Chinese Academy of Sciences

Abstract

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.

Article

Regular Papers

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.

Stochastic Stability of the Improved Maximum Correntropy Kalman Filter Against Non-Gaussian Noises

Xuehua Zhao, Dejun Mu, Zhaohui Gao, Jiahao Zhang*, and Guo Li

Chinese Academy of Sciences

Abstract

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.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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