Saddle Point of Orbital Pursuit-Evasion Game Under J2-Perturbed Dynamics

Li, Zhenyu; Zhu, Hai; Yang, Zhen; Luo, Yuling

doi:10.2514/1.g004459

Cited by 34 publications

(12 citation statements)

References 18 publications

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“…The approximate saddle-point solution obtained from SDCPM is used as an initial guess, and the accurate solution of the problem is obtained by the multiple shooting method. An indirect method, 11 named the combined shooting and collocation method (CSCM), was proposed to solve the accurate saddle-point of a three-dimensional orbital PE game under J2-perturbed dynamics. In CSCM, TPBVP is treated as two nesting problems: a problem for solving a set of nonlinear equations in the outer layer and a problem for solving a sub-TPBVP in the inner layer, in which the shooting method and the collocation method are employed to solve the two problems, respectively.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of spacecraft pursuit-Evasion-Capture game based on progressive shooting method

Liao

Xin-long

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part G:

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The time optimal pursuit-evasion-capture (PEC) game problem for two spacecraft with continuous constant thrust is studied, which is a typical and considerable game scenario in practice. Progressive Shooting Method (PSM) is proposed to solve the PEC game in this paper. The method solves the problem in two stages. First-shooting settles a simplified problem by substituting CW dynamics to simple dynamics, while second-shooting settles the original problem with the results of first-shooting. For first-shooting, an analytic initial guess construction method based on prior information is proposed, in which vague adjoint variables are expressed by quantities with clear physical meanings. Through qualitative analysis for the optimal trajectory, the quantities are approximately estimated and then analytic expressions of an initial guess are constructed. The proposed method provides an instructive way to deal with the difficulty that an initial guess is hard to provide for an optimal control problem based on indirect-method. Numerical results show that a PEC game can be solved by the proposed method with well convergence and high computational efficiency.

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Section: Introductionmentioning

confidence: 99%

Numerical solution of spacecraft pursuit-Evasion-Capture game based on progressive shooting method

Liao

Xin-long

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part G:

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show abstract

“…Li et al [11] developed the combined shooting and collocation method to address the accurate saddle point of the 3D PE game using the J2-perturbed dynamics. Based on the state-dependent Riccati equation method, Jagat et al [12] used a state-dependent coefficient matrix to derive a nonlinear control law from the linear quadratic differential game theory.…”

Section: Introductionmentioning

confidence: 99%

Two-Stage Pursuit Strategy for Incomplete-Information Impulsive Space Pursuit-Evasion Mission Using Reinforcement Learning

et al. 2021

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This paper presents a novel and robust two-stage pursuit strategy for the incomplete-information impulsive space pursuit-evasion missions considering the J2 perturbation. The strategy firstly models the impulsive pursuit-evasion game problem into a far-distance rendezvous stage and a close-distance game stage according to the perception range of the evader. For the far-distance rendezvous stage, it is transformed into a rendezvous trajectory optimization problem and a new objective function is proposed to obtain the pursuit trajectory with the optimal terminal pursuit capability. For the close-distance game stage, a closed-loop pursuit approach is proposed using one of the reinforcement learning algorithms, i.e., the deep deterministic policy gradient algorithm, to solve and update the pursuit trajectory for the incomplete-information impulsive pursuit-evasion missions. The feasibility of this novel strategy and its robustness to different initial states of the pursuer and evader and to the evasion strategies are demonstrated for the sun-synchronous orbit pursuit-evasion game scenarios. The results of the Monte Carlo tests show that the successful pursuit ratio of the proposed method is over 91% for all the given scenarios.

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“…Recent years have witnessed a large amount of works in relative state estimation of cooperative spacecraft targets [1][2][3]. Recently, with the emergence of new space missions such as Space Operations [4,5], Space Attack-Defense Counter [6,7], and Space Situational Awareness (SSA) [8,9], research focus has been given to rendezvous with non-cooperative targets. In contrast to cooperative targets, the non-cooperative may perform abnormal proximity maneuvers, which increases the collision risk between the on-orbit spacecraft and the target.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Tracking Method for Non-Cooperative Continuously Thrusting Spacecraft

2021

Self Cite

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Performance of the traditional Kalman filter and its variants can seriously degrade when they are used to track a non-cooperative continuously thrusting spacecraft. To overcome this shortcoming, an adaptive tracking method for relative state estimation of a non-cooperative target is proposed based on the interacting multiple model (IMM) algorithm. First, built upon a current statistical jerk (CSJerk) model, a robust CSJerk filtering (RCSJF) algorithm is developed, which can address the issue of low estimation accuracy and instability of traditional approaches at the moments when the spacecraft starts and ends thrusting. Second, the developed RCSJF algorithm is further used to form the model set of the IMM by incorporating different maximum jerk values, based on which an adaptive tracking method is presented that can track a non-cooperative target with different maneuvering levels. Simulation results show that the proposed method can effectively track the target across all thrusts levels under the conditions considered, and the convergence performance of the proposed method is improved in comparison to the CSJerk-based extended Kalman filter, especially at the start and end time of the maneuver.

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Saddle Point of Orbital Pursuit-Evasion Game Under J2-Perturbed Dynamics

Cited by 34 publications

References 18 publications

Numerical solution of spacecraft pursuit-Evasion-Capture game based on progressive shooting method

Numerical solution of spacecraft pursuit-Evasion-Capture game based on progressive shooting method

Two-Stage Pursuit Strategy for Incomplete-Information Impulsive Space Pursuit-Evasion Mission Using Reinforcement Learning

Adaptive Tracking Method for Non-Cooperative Continuously Thrusting Spacecraft

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