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CEAS EuroGNC 2024

Polynomial Range Impact Time Control: A Novel Approach Using Bézier Curves
Akın Çatak Istanbul Technical University, Aerospace Research Center, 34469, Istanbul, Turkey
Esra Demir Istanbul Technical University, Aerospace Research Center, 34469, Istanbul, Turkey
Raziye Tekin Roketsan Missiles Inc., Tactical Missile Systems, Ankara, Turkey
Emre Koyuncu Istanbul Technical University, Aerospace Research Center, 34469, Istanbul, Turkey
İbrahim Özkol Istanbul Technical University, Aerospace Research Center, 34469, Istanbul, Turkey
Abstract:
Control over a missile's total flight time offers significant strategic advantages in military operations, including timed target engagement and orchestrated salvo attacks to boost success rates. To this end, this study introduces an innovative impact time guidance law tailored explicitly for planar engagement contexts, utilizing Bézier curves to shape the missile's range trajectory. A 4th-degree range curve is presented, from which a generalized form of the range polynomial is derived. Remarkably, our proposed guidance law aligns seamlessly with existing state-of-the-art impact time control guidance laws, thereby substantiating the efficacy and adaptability of Bézier curves in guidance law design. This alignment confirms the robust capabilities of Bézier curves as a design tool and opens new avenues for future research in developing increasingly complex and efficient guidance laws.
Keywords: Bézier curves; impact time guidance; polynomial range formulation
 View PDF CEAS-GNC-2024-034


Akın Çatak, Esra Demir, Raziye Tekin, Emre Koyuncu, İbrahim Özkol: Polynomial Range Impact Time Control: A Novel Approach Using Bézier Curves. Proceedings of the 2024 CEAS EuroGNC conference. Bristol, UK. June 2024. CEAS-GNC-2024-034.
BibTeX entry:

@Incollection{CEAS-GNC-2024-034,
    author = {\c{C}atak, Ak{\i}n and Demir, Esra and Tekin, Raziye and Koyuncu, Emre and \"Ozkol, \dot{I}brahim},
    title = {Polynomial Range Impact Time Control: A Novel Approach Using Bézier Curves},
    booktitle = {Proceedings of the 2024 {CEAS EuroGNC} conference},
    address = {Bristol, UK},
    month = jun,
    year = {2024},
    note = {CEAS-GNC-2024-034}
}