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Cubature Kalman Filters Model Predictive Static Programming Guidance Method with Impact Time and Angle Constraints Considering Modeling Errors

Author

Listed:
  • Zihan Xie

    (School of Astronautics, Harbin Institute of Technology, Harbin 150000, China)

  • Jialun Pu

    (School of Astronautics, Harbin Institute of Technology, Harbin 150000, China)

  • Changzhu Wei

    (School of Astronautics, Harbin Institute of Technology, Harbin 150000, China)

  • Yingzi Guan

    (School of Astronautics, Harbin Institute of Technology, Harbin 150000, China)

Abstract

This paper proposes a CKF-MPSP guidance method for hitting stationary targets with impact time and angle constraints for missiles in the presence of modeling errors. This innovative guidance scheme is composed of three parts: First, the model predictive static programming (MPSP) algorithm is used to design a nominal guidance method that simultaneously satisfies impact time and angle constraints. Second, the cubature Kalman filter (CKF) is introduced to estimate values of the influence of the inevitable modeling errors. Finally, a one-step compensation scheme is proposed to eliminate the modeling errors’ influence. The proposed method uses a real missile dynamics model, instead of a simplified one with a constant-velocity assumption, and eliminates the effects of modeling errors with the compensation scheme; thus, it is more practical. Simulations in the presence of modeling errors are conducted, and the results illustrate that the CKF-MPSP guidance method can reach the target with a high accuracy of impact time and angles, which demonstrates the high precision and strong robustness of the method.

Suggested Citation

  • Zihan Xie & Jialun Pu & Changzhu Wei & Yingzi Guan, 2023. "Cubature Kalman Filters Model Predictive Static Programming Guidance Method with Impact Time and Angle Constraints Considering Modeling Errors," Mathematics, MDPI, vol. 11(13), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2990-:d:1186823
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    References listed on IDEAS

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    1. Liang Jing & Changzhu Wei & Liang Zhang & Naigang Cui, 2021. "Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, July.
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