Collision Avoidance Problem of Ellipsoid Motion

Shujun Guo, Lujing Jing, Zhaopeng Dai (), Yang Yu (), Zhiqing Dang, Zhihang You, Ang Su, Hongwei Gao, Jinqiu Guan and Yujun Song
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Shujun Guo: School of Business, Qingdao University, Qingdao 266071, China
Lujing Jing: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Zhaopeng Dai: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Yang Yu: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Zhiqing Dang: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Zhihang You: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Ang Su: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Hongwei Gao: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Jinqiu Guan: College of Science, Jiamusi University, Jiamusi 154007, China
Yujun Song: College of Science, Jiamusi University, Jiamusi 154007, China

Mathematics, 2022, vol. 10, issue 19, 1-12

Abstract: This paper studies the problem of target control and how a virtual ellipsoid can avoid the static obstacle. During the motion to the target set, the virtual ellipsoid can achieve a motion under collision avoidance by keeping the distance between the ellipsoid and obstacle. We present solutions to this problem in the class of closed-loop (feedback) controls based on Hamilton–Jacobi–Bellman (HJB) equation. Simulation results verify the validity and effectiveness of our algorithm.

Keywords: virtual ellipsoid motion; target set; collision avoidance; static obstacle; HJB equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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