| Optimal guidance against active defense ballistic missiles via differential game strategies |
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| 作者姓名： | Haizhao LIANG Jianying WANG Yonghai WANG Linlin WANG Peng LIU |
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| 作者单位： | 1. School of Aeronautics and Astronautics, Sun Yat-sen University;2. Beijing Institute of Space Long March Vehicle |
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| 摘 要： | The optimal guidance problem for an interceptor against a ballistic missile with active defense is investigated in this paper.A class of optimal guidance schemes are proposed based on linear quadratic differential game method and numerical solution of Riccati differential equation.By choosing proper parameters, the proposed guidance schemes are able to drive the interceptor to the target and away from the defender simultaneously.Additionally, fuel cost, control saturation,chattering phenomenon a...
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| 收稿时间： | 21 March 2019 |
Optimal guidance against active defense ballistic missiles via differential game strategies |
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| Haizhao LIANG,Jianying WANG,Yonghai WANG,Linlin WANG,Peng LIU.Optimal guidance against active defense ballistic missiles via differential game strategies[J].Chinese Journal of Aeronautics,2020,33(3):978-989. |
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| Institution: | 1. School of Aeronautics and Astronautics, Sun Yat-sen University, Guangzhou 510275, China;2. Beijing Institute of Space Long March Vehicle, Beijing 100076, China |
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| Abstract: | The optimal guidance problem for an interceptor against a ballistic missile with active defense is investigated in this paper. A class of optimal guidance schemes are proposed based on linear quadratic differential game method and numerical solution of Riccati differential equation. By choosing proper parameters, the proposed guidance schemes are able to drive the interceptor to the target and away from the defender simultaneously. Additionally, fuel cost, control saturation, chattering phenomenon and parameters selection were taken into account. Satisfaction of the proposed guidance schemes of the saddle point condition is proven theoretically. Finally, nonlinear numerical examples are included to demonstrate the effectiveness and performance of the developed guidance approaches. Comparison of control performance between different guidance schemes are presented and analysis. |
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| Keywords: | Active defense Ballistic missile Differential game Guidance law Optimal guidance |
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