Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop Faults
A damped iterative explicit guidance (DIEG) algorithm is proposed to address the problem of the insufficient convergence of classical explicit guidance methods in the event of thrust drop faults in multistage rockets. Based on the iterative guidance mode (IGM) and powered explicit guidance (PEG), th...
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MDPI AG
2025-01-01
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| author | Zongzhan Ma Chuankui Wang Zhi Xu Shuo Tang Ying Ma |
| author_facet | Zongzhan Ma Chuankui Wang Zhi Xu Shuo Tang Ying Ma |
| author_sort | Zongzhan Ma |
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| description | A damped iterative explicit guidance (DIEG) algorithm is proposed to address the problem of the insufficient convergence of classical explicit guidance methods in the event of thrust drop faults in multistage rockets. Based on the iterative guidance mode (IGM) and powered explicit guidance (PEG), this method is enhanced in three aspects: (1) an accurate transversality condition is derived and applied in the dimension-reduction framework instead of using a simplified assumption; (2) the Gauss–Legendre quadrature formula (GLQF) is adopted to increase the accuracy of the method by addressing the issue of excessive errors in calculating thrust integration using linearization methods based on a small quantity assumption under fault conditions; and (3) a damping factor for solving the time-to-go is introduced to avoid the chattering phenomenon and enhance convergence. A numerical simulation was conducted in single- and multistage mission scenarios by gradually reducing the engine thrust to compare the performance of DIEG and PEG. The results show that DIEG has a much larger convergence range than PEG and has fuel optimality similar to that of the optimization method in most fault scenarios. Finally, the robustness of DIEG under various deviations is verified through Monte Carlo simulation. |
| format | Article |
| id | doaj-art-6a60c62757bb475cab4ac97827b80fba |
| institution | Kabale University |
| issn | 2226-4310 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
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| spelling | doaj-art-6a60c62757bb475cab4ac97827b80fba2025-01-24T13:15:41ZengMDPI AGAerospace2226-43102025-01-011216110.3390/aerospace12010061Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop FaultsZongzhan Ma0Chuankui Wang1Zhi Xu2Shuo Tang3Ying Ma4School of Astronautics, Northwestern Polytechnical University, 127 West Youyi Road, Beilin District, Xi’an 710072, ChinaBeijing Institute of Astronautical Systems Engineering, 1 Nandahongmen Road, Fengtai District, Beijing 100076, ChinaSchool of Astronautics, Northwestern Polytechnical University, 127 West Youyi Road, Beilin District, Xi’an 710072, ChinaSchool of Astronautics, Northwestern Polytechnical University, 127 West Youyi Road, Beilin District, Xi’an 710072, ChinaBeijing Institute of Astronautical Systems Engineering, 1 Nandahongmen Road, Fengtai District, Beijing 100076, ChinaA damped iterative explicit guidance (DIEG) algorithm is proposed to address the problem of the insufficient convergence of classical explicit guidance methods in the event of thrust drop faults in multistage rockets. Based on the iterative guidance mode (IGM) and powered explicit guidance (PEG), this method is enhanced in three aspects: (1) an accurate transversality condition is derived and applied in the dimension-reduction framework instead of using a simplified assumption; (2) the Gauss–Legendre quadrature formula (GLQF) is adopted to increase the accuracy of the method by addressing the issue of excessive errors in calculating thrust integration using linearization methods based on a small quantity assumption under fault conditions; and (3) a damping factor for solving the time-to-go is introduced to avoid the chattering phenomenon and enhance convergence. A numerical simulation was conducted in single- and multistage mission scenarios by gradually reducing the engine thrust to compare the performance of DIEG and PEG. The results show that DIEG has a much larger convergence range than PEG and has fuel optimality similar to that of the optimization method in most fault scenarios. Finally, the robustness of DIEG under various deviations is verified through Monte Carlo simulation.https://www.mdpi.com/2226-4310/12/1/61explicit guidanceiterative guidancemultistage rocketthrust drop faultdamping factor |
| spellingShingle | Zongzhan Ma Chuankui Wang Zhi Xu Shuo Tang Ying Ma Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop Faults Aerospace explicit guidance iterative guidance multistage rocket thrust drop fault damping factor |
| title | Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop Faults |
| title_full | Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop Faults |
| title_fullStr | Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop Faults |
| title_full_unstemmed | Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop Faults |
| title_short | Damped Iterative Explicit Guidance for Multistage Rockets with Thrust Drop Faults |
| title_sort | damped iterative explicit guidance for multistage rockets with thrust drop faults |
| topic | explicit guidance iterative guidance multistage rocket thrust drop fault damping factor |
| url | https://www.mdpi.com/2226-4310/12/1/61 |
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