Two-Dimensional Reachability of Low-Thrust Spacecraft
Reachability analysis is very useful and of great interest in various space missions. This correspondence proposes a method to compute the 2-D reachable set (RS) of low-thrust spacecraft with bounded control and limited fuel. For a class of smooth nonlinear affine-control systems, a two-step solving...
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| Veröffentlicht in: | IEEE transactions on aerospace and electronic systems 2024-06, Vol.60 (3), p.3698-3706 |
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| container_title | IEEE transactions on aerospace and electronic systems |
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| creator | Xiao, Qian Li, Lincheng Zhang, Jingrui Xu, Ming |
| description | Reachability analysis is very useful and of great interest in various space missions. This correspondence proposes a method to compute the 2-D reachable set (RS) of low-thrust spacecraft with bounded control and limited fuel. For a class of smooth nonlinear affine-control systems, a two-step solving procedure is proposed to solve the boundary of 2-D RSs. By constructing a suitable homotopy, the connection between the homotopy path and the boundary of 2-D RSs is built. The proposed method is applied to investigate the 2-D orbital element RS of low-thrust spacecraft. In particular, both osculating and mean orbital elements are considered. The effectiveness and efficiency of the proposed method are demonstrated by numerical simulations and analyses. |
| doi_str_mv | 10.1109/TAES.2024.3356986 |
| format | Article |
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This correspondence proposes a method to compute the 2-D reachable set (RS) of low-thrust spacecraft with bounded control and limited fuel. For a class of smooth nonlinear affine-control systems, a two-step solving procedure is proposed to solve the boundary of 2-D RSs. By constructing a suitable homotopy, the connection between the homotopy path and the boundary of 2-D RSs is built. The proposed method is applied to investigate the 2-D orbital element RS of low-thrust spacecraft. In particular, both osculating and mean orbital elements are considered. The effectiveness and efficiency of the proposed method are demonstrated by numerical simulations and analyses.</description><subject>Fuels</subject><subject>Homotopy</subject><subject>low-thrust spacecraft</subject><subject>nonlinear affine-control system</subject><subject>Nonlinear control</subject><subject>Nonlinear systems</subject><subject>Optimal control</subject><subject>Orbital elements</subject><subject>Orbits</subject><subject>reachability</subject><subject>reachable set (RS)</subject><subject>Space missions</subject><subject>Space vehicles</subject><subject>Spacecraft</subject><subject>Thrust</subject><subject>Trajectory</subject><subject>Two dimensional analysis</subject><subject>Two-dimensional displays</subject><issn>0018-9251</issn><issn>1557-9603</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkE1LAzEURYMoWKs_QHAx4Do1yUsyybLU-gEFwY7rkAkvdErbqckMpf_eKe3C1ePCuZfHIeSRswnnzL5U0_lyIpiQEwClrdFXZMSVKqnVDK7JiDFuqBWK35K7nNdDlEbCiKjq0NLXZou73LQ7vym-0YeVr5tN0x2LNhaL9kCrVepzVyz3PmBIPnb35Cb6TcaHyx2Tn7d5Nfugi6_3z9l0QYOQuqOlloHHmomATGsOwViFKtpgDSAAl2UQWmirDDIZQUumhEJT1qGWaDyDMXk-7-5T-9tj7ty67dPwZnYwLFqwDORA8TMVUptzwuj2qdn6dHScuZMdd7LjTnbcxc7QeTp3GkT8x0uuuJbwBz4IXqw</recordid><startdate>20240601</startdate><enddate>20240601</enddate><creator>Xiao, Qian</creator><creator>Li, Lincheng</creator><creator>Zhang, Jingrui</creator><creator>Xu, Ming</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| source | IEEE Electronic Library (IEL) |
| subjects | Fuels Homotopy low-thrust spacecraft nonlinear affine-control system Nonlinear control Nonlinear systems Optimal control Orbital elements Orbits reachability reachable set (RS) Space missions Space vehicles Spacecraft Thrust Trajectory Two dimensional analysis Two-dimensional displays |
| title | Two-Dimensional Reachability of Low-Thrust Spacecraft |
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