Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm

Standard cubature Kalman filter (CKF) algorithm has some disadvantages in stochastic system control, such as low control accuracy and poor robustness. This paper proposes a stochastic system control method based on adaptive correction CKF algorithm. Firstly, a nonlinear time-varying discrete stochas...

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Main Authors: FengJun Hu, Qian Zhang, Gang Wu
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2020/2096302
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author FengJun Hu
Qian Zhang
Gang Wu
author_facet FengJun Hu
Qian Zhang
Gang Wu
author_sort FengJun Hu
collection DOAJ
description Standard cubature Kalman filter (CKF) algorithm has some disadvantages in stochastic system control, such as low control accuracy and poor robustness. This paper proposes a stochastic system control method based on adaptive correction CKF algorithm. Firstly, a nonlinear time-varying discrete stochastic system model with stochastic disturbances is constructed. The control model is established by using the CKF algorithm, the covariance matrix of standard CKF is optimized by square root filter, the adaptive correction of error covariance matrix is realized by adding memory factor to the filter, and the disturbance factors in nonlinear time-varying discrete stochastic systems are eliminated by multistep feedback predictive control strategy, so as to improve the robustness of the algorithm. Simulation results show that the state estimation accuracy of the proposed adaptive cubature Kalman filter algorithm is better than that of the standard cubature Kalman filter algorithm, and the proposed adaptive correction CKF algorithm has good control accuracy and robustness in the UAV control test.
format Article
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institution Kabale University
issn 1687-5966
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series International Journal of Aerospace Engineering
spelling doaj-art-44279b2fc16846f2b24ad41a21c44fba2025-08-20T03:36:03ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742020-01-01202010.1155/2020/20963022096302Control Optimization of Stochastic Systems Based on Adaptive Correction CKF AlgorithmFengJun Hu0Qian Zhang1Gang Wu2Institute of Information Technology, Zhejiang Shuren University, Hangzhou, Zhejiang, ChinaSchool of Overseas Chinese, Capital University of Economics and Business, Beijing, ChinaDepartment of Oral Implantology and Prosthetic Dentistry, Academic Centre for Dentistry Amsterdam (ACTA), University of Amsterdam (UvA) and Vrije Universiteit Amsterdam (VU), Gustav Mahlerlaan 3004, Amsterdam 1081LA, NetherlandsStandard cubature Kalman filter (CKF) algorithm has some disadvantages in stochastic system control, such as low control accuracy and poor robustness. This paper proposes a stochastic system control method based on adaptive correction CKF algorithm. Firstly, a nonlinear time-varying discrete stochastic system model with stochastic disturbances is constructed. The control model is established by using the CKF algorithm, the covariance matrix of standard CKF is optimized by square root filter, the adaptive correction of error covariance matrix is realized by adding memory factor to the filter, and the disturbance factors in nonlinear time-varying discrete stochastic systems are eliminated by multistep feedback predictive control strategy, so as to improve the robustness of the algorithm. Simulation results show that the state estimation accuracy of the proposed adaptive cubature Kalman filter algorithm is better than that of the standard cubature Kalman filter algorithm, and the proposed adaptive correction CKF algorithm has good control accuracy and robustness in the UAV control test.http://dx.doi.org/10.1155/2020/2096302
spellingShingle FengJun Hu
Qian Zhang
Gang Wu
Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm
International Journal of Aerospace Engineering
title Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm
title_full Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm
title_fullStr Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm
title_full_unstemmed Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm
title_short Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm
title_sort control optimization of stochastic systems based on adaptive correction ckf algorithm
url http://dx.doi.org/10.1155/2020/2096302
work_keys_str_mv AT fengjunhu controloptimizationofstochasticsystemsbasedonadaptivecorrectionckfalgorithm
AT qianzhang controloptimizationofstochasticsystemsbasedonadaptivecorrectionckfalgorithm
AT gangwu controloptimizationofstochasticsystemsbasedonadaptivecorrectionckfalgorithm