Time-Optimal Guidance for Intercepting Moving Targets with Impact-Angle Constraints

Yuan Zheng; Zheng Chen

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arXiv · 2101.02881

Time-Optimal Guidance for Intercepting Moving Targets with Impact-Angle Constraints

Yuan Zheng·Zheng Chen

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Abstract

The minimum-time path for intercepting a moving target with a prescribed impact angle is studied in the paper. The candidate paths from Pontryagin's maximum principle are analyzed, so that each candidate is related to a zero of a real-valued function. It is found that the real-valued functions or their first-order derivatives can be converted to polynomials of at most fourth degree. As a result, each canidate path can be computed within a constant time by embedding a standard polynomial solver into the typical bisection method. The control strategy along the shortest candidate eventually gives rise to the time-optimal guidance law. Finally, the developments of the paper is illustrated and verified by three numerical examples.

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BibTeX RIS

Yuan Zheng, Zheng Chen. 2021-01-08. Time-Optimal Guidance for Intercepting Moving Targets with Impact-Angle Constraints. https://arxiv.org/abs/2101.02881

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