Quasi-time-optimal steering law for low-thrust orbit transfer considering angular momentum and torque constraints
In this study, a quasi-time-optimal steering law for low-thrust orbit transfer is investigated. In the proposed steering law, the satellite attitude is controlled to suppress its error with respect to the ideal thruster direction under the orthogonality constraint between the Sun direction and the s...
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| Vydáno v: | Acta Astronautica Ročník 182; s. 332 - 349 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina japonština |
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Elmsford
Elsevier Ltd
01.05.2021
Elsevier BV |
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| ISSN: | 0094-5765, 1879-2030 |
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| Abstract | In this study, a quasi-time-optimal steering law for low-thrust orbit transfer is investigated. In the proposed steering law, the satellite attitude is controlled to suppress its error with respect to the ideal thruster direction under the orthogonality constraint between the Sun direction and the solar array driving mechanism's rotational axis as well as the angular momentum and torque constraints. All these constraints are satisfied by introducing a structure similar to Baumgarte's stabilization method and by formulating a quadratically constrained quadratic programming problem which can be analytically solved to obtain the control torque. Several numerical simulations show that the transfer time difference from the ideal unconstrained transfer is less than a few percent.
•A quasi-time-optimal steering law for low-thrust orbit transfer is derived.•Practical attitude constraints for low-thrust orbit raising are considered.•Control torque is derived by analytically solving a quadratic programming problem.•Transfer time difference from the ideal unconstrained case is only a few percent. |
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| AbstractList | In this study, a quasi-time-optimal steering law for low-thrust orbit transfer is investigated. In the proposed steering law, the satellite attitude is controlled to suppress its error with respect to the ideal thruster direction under the orthogonality constraint between the Sun direction and the solar array driving mechanism's rotational axis as well as the angular momentum and torque constraints. All these constraints are satisfied by introducing a structure similar to Baumgarte's stabilization method and by formulating a quadratically constrained quadratic programming problem which can be analytically solved to obtain the control torque. Several numerical simulations show that the transfer time difference from the ideal unconstrained transfer is less than a few percent. In this study, a quasi-time-optimal steering law for low-thrust orbit transfer is investigated. In the proposed steering law, the satellite attitude is controlled to suppress its error with respect to the ideal thruster direction under the orthogonality constraint between the Sun direction and the solar array driving mechanism's rotational axis as well as the angular momentum and torque constraints. All these constraints are satisfied by introducing a structure similar to Baumgarte's stabilization method and by formulating a quadratically constrained quadratic programming problem which can be analytically solved to obtain the control torque. Several numerical simulations show that the transfer time difference from the ideal unconstrained transfer is less than a few percent. •A quasi-time-optimal steering law for low-thrust orbit transfer is derived.•Practical attitude constraints for low-thrust orbit raising are considered.•Control torque is derived by analytically solving a quadratic programming problem.•Transfer time difference from the ideal unconstrained case is only a few percent. |
| Author | Yamada, Katsuhiko Kitamura, Kenji Shima, Takeya |
| Author_xml | – sequence: 1 givenname: Kenji orcidid: 0000-0003-3386-5441 surname: Kitamura fullname: Kitamura, Kenji email: kitamura.kenji@db.mitsubishielectric.co.jp organization: Advanced Technology R&D Center, Mitsubishi Electric Corporation, Amagasaki, 661-8661, Japan – sequence: 2 givenname: Katsuhiko orcidid: 0000-0001-8717-1133 surname: Yamada fullname: Yamada, Katsuhiko organization: Department of Mechanical Engineering, Osaka University, Osaka, 565-0871, Japan – sequence: 3 givenname: Takeya surname: Shima fullname: Shima, Takeya organization: Advanced Technology R&D Center, Mitsubishi Electric Corporation, Amagasaki, 661-8661, Japan |
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| Cites_doi | 10.2151/jmsj.2016-009 10.1007/BF03256502 10.2514/2.4145 10.1016/j.actaastro.2017.03.032 10.1016/j.bulsci.2006.03.005 10.1007/s10440-014-9948-2 10.1016/j.anihpc.2006.03.013 10.2514/1.A33416 10.1016/j.sysconle.2006.03.004 10.1016/0045-7825(72)90018-7 10.2514/2.3360 10.1007/BF01227493 10.1016/S0094-5765(97)00208-7 10.1016/j.actaastro.2016.04.028 |
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| Keywords | Attitude-steering Geostationary satellite Low-thrust Orbit transfer |
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| SubjectTerms | Angular momentum Attitude-steering Axes of rotation Constraints Geostationary satellite Low-thrust Numerical simulations Orbit transfer Orthogonality Quadratic programming Solar arrays Solar collectors Steering Thrust Torque |
| Title | Quasi-time-optimal steering law for low-thrust orbit transfer considering angular momentum and torque constraints |
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