Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game Strategy
The guidance problem of a confrontation between an interceptor, a hypersonic vehicle, and an active defender is investigated in this paper. As a hypersonic multiplayer pursuit-evasion game, the optimal guidance scheme for each adversary in the engagement is proposed on the basis of linear-quadratic...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Aerospace |
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| Online Access: | https://www.mdpi.com/2226-4310/9/2/97 |
| _version_ | 1827658007932043264 |
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| author | Haizhao Liang Zhi Li Jinze Wu Yu Zheng Hongyu Chu Jianying Wang |
| author_facet | Haizhao Liang Zhi Li Jinze Wu Yu Zheng Hongyu Chu Jianying Wang |
| author_sort | Haizhao Liang |
| collection | DOAJ |
| description | The guidance problem of a confrontation between an interceptor, a hypersonic vehicle, and an active defender is investigated in this paper. As a hypersonic multiplayer pursuit-evasion game, the optimal guidance scheme for each adversary in the engagement is proposed on the basis of linear-quadratic differential game strategy. In this setting, the angle of attack is designed as the output of guidance laws, in order to match up with the nonlinear dynamics of adversaries. Analytical expressions of the guidance laws are obtained by solving the Riccati differential equation derived by the closed-loop system. Furthermore, the satisfaction of the saddle-point condition of the proposed guidance laws is proven mathematically according to the minimax principle. Finally, nonlinear numerical examples based on 3-DOF dynamics of hypersonic vehicles are presented, to validate the analytical analysis in this study. By comparing different guidance schemes, the effectiveness of the proposed guidance strategies is demonstrated. Players in the engagement could improve their performance in confrontation by employing the proposed optimal guidance approaches with appropriate weight parameters. |
| first_indexed | 2024-03-09T22:53:50Z |
| format | Article |
| id | doaj.art-0525c6e92bf0448b81f78a1fef5e347c |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-03-09T22:53:50Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-0525c6e92bf0448b81f78a1fef5e347c2023-11-23T18:14:40ZengMDPI AGAerospace2226-43102022-02-01929710.3390/aerospace9020097Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game StrategyHaizhao Liang0Zhi Li1Jinze Wu2Yu Zheng3Hongyu Chu4Jianying Wang5School of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 510000, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 510000, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 510000, ChinaScience and Technology on Space Physics Laboratory, Beijing 100000, ChinaScience and Technology on Space Physics Laboratory, Beijing 100000, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 510000, ChinaThe guidance problem of a confrontation between an interceptor, a hypersonic vehicle, and an active defender is investigated in this paper. As a hypersonic multiplayer pursuit-evasion game, the optimal guidance scheme for each adversary in the engagement is proposed on the basis of linear-quadratic differential game strategy. In this setting, the angle of attack is designed as the output of guidance laws, in order to match up with the nonlinear dynamics of adversaries. Analytical expressions of the guidance laws are obtained by solving the Riccati differential equation derived by the closed-loop system. Furthermore, the satisfaction of the saddle-point condition of the proposed guidance laws is proven mathematically according to the minimax principle. Finally, nonlinear numerical examples based on 3-DOF dynamics of hypersonic vehicles are presented, to validate the analytical analysis in this study. By comparing different guidance schemes, the effectiveness of the proposed guidance strategies is demonstrated. Players in the engagement could improve their performance in confrontation by employing the proposed optimal guidance approaches with appropriate weight parameters.https://www.mdpi.com/2226-4310/9/2/97hypersonic vehicleguidance lawdifferential gamepursuit-evasion |
| spellingShingle | Haizhao Liang Zhi Li Jinze Wu Yu Zheng Hongyu Chu Jianying Wang Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game Strategy Aerospace hypersonic vehicle guidance law differential game pursuit-evasion |
| title | Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game Strategy |
| title_full | Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game Strategy |
| title_fullStr | Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game Strategy |
| title_full_unstemmed | Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game Strategy |
| title_short | Optimal Guidance Laws for a Hypersonic Multiplayer Pursuit-Evasion Game Based on a Differential Game Strategy |
| title_sort | optimal guidance laws for a hypersonic multiplayer pursuit evasion game based on a differential game strategy |
| topic | hypersonic vehicle guidance law differential game pursuit-evasion |
| url | https://www.mdpi.com/2226-4310/9/2/97 |
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