@article{ZHENG2022, 
author = {Yuan ZHENG and Zheng CHEN and Xueming SHAO and Wenjie ZHAO},
title = {Time-optimal guidance for intercepting moving targets with impact-angle constraints},
year = {2022},
journal = {Chinese Journal of Aeronautics},
volume = {35},
number = {7},
pages = {157-167},
keywords = {Dubins vehicle, Guidance law, Minimum-time path, Optimal guidance, Path planning},
url = {https://www.sciopen.com/article/10.1016/j.cja.2021.08.002},
doi = {10.1016/j.cja.2021.08.002},
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 synthesized, 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 candidate 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 are illustrated and verified by three numerical examples.}
}