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CEAS EuroGNC 2022

PIP Selection Algorithm for Lambert Guidance Considering Engagement Geometry

Heein Park M.S. candidate, Seoul National University, Department of Aerospace Engineering, 08826, Seoul, Republic of Korea.
Yeontaek Jung Ph.D. candidate, Seoul National University, Department of Aerospace Engineering, 08826, Seoul, Republic of Korea.
Youdan Kim Professor, Faculty of Aerospace Engineering, Institute of Advanced Aerospace Technology, 08826, Seoul, Republic of Korea.
Abstract:
As threat of a ballistic missile that carries various devastating warheads is bigger, attention to anti-ballistic missile is grown. There are several strategies to intercept a ballistic missile, but many researches focus on intercepting the ballistic missile during the mid-course phase. Although guidance is mature field of research, intercepting a ballistic missile is still a challenging problem because of high speed of the ballistic missile. In this paper, to successfully intercept a ballistic missile, an algorithm to select predictive intercept point considering engagement geometry is proposed. To this end, a proper engagement geometry is discussed and a performance index is proposed. Then, the algorithm to find near-optimal predictive intercept point in the sense of the performance index is proposed. The algorithm calculates initial guess of the predictive intercept point by solving Lambert problem, and updates the predictive intercept point using equation of orbit. After predictive intercept point is selected, Lambert guidance law is used to get to the point. It is robust to measurement noise and needs small computational load. To demonstrate the performance of the proposed algorithm, numerical simulation is performed. As a result, the proposed algorithm shows proper performance not only from the perspective of the performance index, but also the perspective of the control input.
Keywords: Anti-ballistic missile; Lambert problem; Lambert guidance; Engagement geometry; Mid-course guidance
View PDFCEAS-GNC-2022-008


Heein Park, Yeontaek Jung, Youdan Kim: PIP Selection Algorithm for Lambert Guidance Considering Engagement Geometry. Proceedings of the 2022 CEAS EuroGNC conference. Berlin, Germany. May 2022. CEAS-GNC-2022-008.
BibTeX entry:

@Incollection{CEAS-GNC-2022-008,
    authors = {Park, Heein and Jung, Yeontaek and Kim, Youdan},
    title = {PIP Selection Algorithm for Lambert Guidance Considering Engagement Geometry},
    booktitle = {Proceedings of the 2022 {CEAS EuroGNC} conference},
    address = {Berlin, Germany},
    month = may,
    year = {2022},
    note = {CEAS-GNC-2022-008}
}