Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE Approach
This paper introduces a nonlinear Lyapunov-based Finite-Time State-Dependent Differential Riccati Equation (FT-SDDRE) control scheme, considering actuator saturation constraints and ensuring that the control system operates within safe operational limits designed for satellite reconfiguration and fo...
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MDPI AG
2025-02-01
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| Series: | Aerospace |
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| Online Access: | https://www.mdpi.com/2226-4310/12/3/201 |
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| author | Majid Bakhtiari Amirhossein Panahyazdan Ehsan Abbasali |
| author_facet | Majid Bakhtiari Amirhossein Panahyazdan Ehsan Abbasali |
| author_sort | Majid Bakhtiari |
| collection | DOAJ |
| description | This paper introduces a nonlinear Lyapunov-based Finite-Time State-Dependent Differential Riccati Equation (FT-SDDRE) control scheme, considering actuator saturation constraints and ensuring that the control system operates within safe operational limits designed for satellite reconfiguration and formation-keeping in low Earth orbit (LEO) missions. This control approach addresses the challenges of reaching the relative position and velocity vectors within a defined timeframe amid various orbital perturbations. The proposed approach guarantees precise formation control by utilizing a high-fidelity relative motion model that incorporates all zonal harmonics and atmospheric drag, which are the primary environmental disturbances in LEO. Additionally, the article presents an optimization methodology to determine the most efficient State-Dependent Coefficient (SDC) form regarding fuel consumption. This optimization process minimizes energy usage through a hybrid genetic algorithm and simulated annealing (HGASA), resulting in improved performance. In addition, this paper includes a sensitivity analysis to identify the optimized SDC parameterization for different satellite reconfiguration maneuvers. These maneuvers encompass radial, along-track, and cross-track adjustments, each with varying baseline distances. The analysis provides insights into how different parameterizations affect reconfiguration performance, ensuring precise and efficient control for each type of maneuver. The finite-time controller proposed here is benchmarked against other forms of SDRE controllers, showing reduced error margins. To further assess the control system’s effectiveness, an input saturation constraint is integrated, ensuring that the control system operates within safe operational limits, ultimately leading to the successful execution of the mission. |
| format | Article |
| id | doaj-art-6ac8495b63474c45a79bbfc2624b374a |
| institution | DOAJ |
| issn | 2226-4310 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj-art-6ac8495b63474c45a79bbfc2624b374a2025-08-20T02:41:51ZengMDPI AGAerospace2226-43102025-02-0112320110.3390/aerospace12030201Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE ApproachMajid Bakhtiari0Amirhossein Panahyazdan1Ehsan Abbasali2School of Advanced Technologies, Iran University of Science and Technology, Narmak, Tehran 1311416846, IranSchool of Advanced Technologies, Iran University of Science and Technology, Narmak, Tehran 1311416846, IranSchool of Aerospace Engineering, University of Tehran, North Kargar Street, Tehran 1417935840, IranThis paper introduces a nonlinear Lyapunov-based Finite-Time State-Dependent Differential Riccati Equation (FT-SDDRE) control scheme, considering actuator saturation constraints and ensuring that the control system operates within safe operational limits designed for satellite reconfiguration and formation-keeping in low Earth orbit (LEO) missions. This control approach addresses the challenges of reaching the relative position and velocity vectors within a defined timeframe amid various orbital perturbations. The proposed approach guarantees precise formation control by utilizing a high-fidelity relative motion model that incorporates all zonal harmonics and atmospheric drag, which are the primary environmental disturbances in LEO. Additionally, the article presents an optimization methodology to determine the most efficient State-Dependent Coefficient (SDC) form regarding fuel consumption. This optimization process minimizes energy usage through a hybrid genetic algorithm and simulated annealing (HGASA), resulting in improved performance. In addition, this paper includes a sensitivity analysis to identify the optimized SDC parameterization for different satellite reconfiguration maneuvers. These maneuvers encompass radial, along-track, and cross-track adjustments, each with varying baseline distances. The analysis provides insights into how different parameterizations affect reconfiguration performance, ensuring precise and efficient control for each type of maneuver. The finite-time controller proposed here is benchmarked against other forms of SDRE controllers, showing reduced error margins. To further assess the control system’s effectiveness, an input saturation constraint is integrated, ensuring that the control system operates within safe operational limits, ultimately leading to the successful execution of the mission.https://www.mdpi.com/2226-4310/12/3/201formation reconfiguration and formation-keepingfinite-time SDDREnonlinear controloptimized state-dependent coefficientHGASA algorithminput saturation constraint |
| spellingShingle | Majid Bakhtiari Amirhossein Panahyazdan Ehsan Abbasali Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE Approach Aerospace formation reconfiguration and formation-keeping finite-time SDDRE nonlinear control optimized state-dependent coefficient HGASA algorithm input saturation constraint |
| title | Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE Approach |
| title_full | Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE Approach |
| title_fullStr | Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE Approach |
| title_full_unstemmed | Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE Approach |
| title_short | Finite-Time Control for Satellite Formation Reconfiguration and Maintenance in LEO: A Nonlinear Lyapunov-Based SDDRE Approach |
| title_sort | finite time control for satellite formation reconfiguration and maintenance in leo a nonlinear lyapunov based sddre approach |
| topic | formation reconfiguration and formation-keeping finite-time SDDRE nonlinear control optimized state-dependent coefficient HGASA algorithm input saturation constraint |
| url | https://www.mdpi.com/2226-4310/12/3/201 |
| work_keys_str_mv | AT majidbakhtiari finitetimecontrolforsatelliteformationreconfigurationandmaintenanceinleoanonlinearlyapunovbasedsddreapproach AT amirhosseinpanahyazdan finitetimecontrolforsatelliteformationreconfigurationandmaintenanceinleoanonlinearlyapunovbasedsddreapproach AT ehsanabbasali finitetimecontrolforsatelliteformationreconfigurationandmaintenanceinleoanonlinearlyapunovbasedsddreapproach |