Abstract

Aiming at the shortcomings of low precision, hysteresis, and poor robustness of the general interactive multimodel algorithm in the “snake-like” maneuver tracking of anti-ship missiles, an interactive multimodel adaptive five-degree cubature Kalman algorithm based on fuzzy logic (FLIMM5ACKF) is proposed. The algorithm mainly includes adaptive five-degree cubature Kalman algorithm (A5CKF) and fuzzy logic algorithm (FL). A5CKF uses the Sage–Husa noise estimation principle to propose a state error covariance adaptive five-degree cubature Kalman algorithm to improve the performance of state estimation. Then, the fuzzy logic algorithm (FL) is added to the model probability update module to control the model probability update module. Finally, by setting the same tracking model simulation analysis, the algorithm has better convergence speed, tracking effect and robustness than the interactive multimodel cubature Kalman algorithm (IMMCKF), the interactive multimodel five-degree cubature Kalman algorithm (IMM5CKF) and the interactive multimodel adaptive five-degree cubature Kalman (IMMA5CKF).

Highlights

  • The multiple model algorithm is proposed, for example, the multiple model (MM) algorithm proposed by Magill [2], the GPB algorithm proposed by Ackerson and Fu [3], and the interactive multimodel (IMM) algorithm proposed by Blom [4,5], among these algorithms, the most widely used is IMM algorithm [6,7,8], which takes into account the characteristics of the model and considers that only one model matches the motion state at a certain time, it reduces the error of a single model, improves the effect of target tracking

  • In order to obtain good filtering accuracy and response speed, A5CKF and fuzzy logic algorithm (FL) algorithms are added in IMM, and an interactive multimodel adaptive five-degree cubature Kalman algorithm based on FL

  • Aiming at addressing the problem of poor filtering, slow convergence, and poor robustness in the IMM algorithm, this paper proposes the FLIMMA5CKF algorithm

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Summary

Introduction

With the development of modern military, anti-ship missiles have various forms of maneuvering, and the most typical one is the “snake-like” maneuver [1], because the maneuvering method of anti-ship missiles is relatively variable, a model can no longer meet the needs of anti-ship missile tracking. The IMMCKF algorithm and the IMM5CKF algorithm have already achieved good results [14,18], they still cannot effectively solve the problem of low filtering precision and slow results [14,18],inthey cannot effectively solve an the interactive problem ofmultimodel low filtering precision and slow convergence the still tracking process, adaptive five-degree convergence in the tracking process, interactive multimodel adaptive five-degree cubature cubature Kalman algorithm based on fuzzy an logic is proposed in this paper, it uses the maximum. Thefuzzy fuzzy logic algorithm is used to update the model probability [24],the somodel that the model isprobability quickly converted to accelerate the response speed of the filtering system. When the output of the fuzzy logic system is defuzzified, the median method is used to defuzzify and obtain the actual probability of the model

Adaptive Five-Degree Cubature Kalman
Algorithm Overall Framework
Input Interaction
Parallel Filtering
Update Probability
Analysis of The Motion Characteristics of Missiles
Snake-Like Maneuvering
Results and Discussion
Conclusions
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