Constructive Approximate Nash Equilibrium for In-Orbit Target Enclosing with Collision Avoidance and Full-state Constraint via Nonzero-Sum Differential Games  

作　　者：Bosong Wei Xiaokui Yue Zhiwei Hao Zongcheng Liu 

机构地区：[1]School of Astronautics,Northwestern Polytechnical University,127 Youyi West Road,Xi'an,Shannxi,P.R.China [2]School of Aviation Engineering,Air Force Engineering University,1 Changle East Road,Xi'an,Shaanxi,P.R.China

出　　处：《Guidance, Navigation and Control》2024年第3期166-190,共25页制导、导航与控制(英文)

基　　金：supported in part by the National Natural Science Foundation of China(Grant Nos. 12172288 and 12472046);the National Key Research and Development Program of China (Grant No. 2021YFC2202600)

摘　　要：The problem of in-orbit cooperative target enclosing involving N thrust-limited satellites under collision avoidance and maneuver amplitude constraints is studied. In order to find global optimal trajectories for target enclosing task with all constraints above, by integrating the collision threat and maneuver boundaries into a novel nonlinear cost functional, the studied target enclosing problem is described as a nonlinear nonzero-sum differential game. Further, to avoid iterative calculations caused by traditional nonlinear-game-solving methods, an approximate solution which can be constructed directly is designed. Then the approximate Nash equilibrium strategies can be educed by the constructive approximate solution for the proposed nonzero-sum game. Analysis shows that the proposed control strategies can asymptotically approach the exact one and can ensure a zero-error tracking of the enclosing configuration.Simulation results illustrate lower time costs and better enclosing accuracy while the collision avoidance and maneuver amplitude constraints are satisfied simultaneously.

关 键 词：Approximate Nash equilibrium differential game invariant manifold asymptotic stability target enclosing 

分 类 号：V448[航空宇航科学与技术—飞行器设计]