A Geometry-Based Guidance Law to Control Impact Time and Angle under Variable Speeds

Xinghui Yan, Minchi Kuang and Jihong Zhu
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Xinghui Yan: Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China
Minchi Kuang: Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China
Jihong Zhu: Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China

Mathematics, 2020, vol. 8, issue 6, 1-18

Abstract: To provide a feasible solution for a variable speed unmanned aerial vehicle (UAV) to home on a target with impact time and angle constraints, this paper presents a novel geometry-based guidance law composed of trajectory reshaping and tracking. A trajectory generation process using Bezier curves is introduced to satisfy the impact time and angle constraints under time-varying speed. The impact angle is satisfied by driving the UAV along a specified ending line. The impact time is satisfied by controlling the trajectory length, which is realized through adjusting one Bezier curve end point along the ending line. The adjustable range of this end point, along with the maximum trajectory curvature, is analyzed to ensure that the trajectory is flyable. Guidance command is generated using inverse dynamics. Numerical simulations under various scenarios are demonstrated to illustrate the performance and validate the effectiveness of the proposed method.

Keywords: guidance systems; trajectory reshaping; time-varying speed; impact time and angle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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