Dynamic game theory-based multi-spacecraft chase control method

Abstract

The invention relates to a dynamic game theory-based multi-spacecraft chase control method. The dynamic game theory-based multi-spacecraft chase control method comprises the steps of ignoring all perturbative force according to space environments of spacecrafts and building a kinetic model, also known as a kinetic equation, for multiple spacecrafts in a gravitational field at the center of the earth, wherein the model comprises three roles, namely a target spacecraft, a defense spacecraft and an attack spacecraft; determining a payment function for the spacecrafts and a terminate target set ofchase games according to a role relationship among various spacecrafts in the kinetic model, thereby building a multi-spacecraft game model; processing the multi-spacecraft game model by using a dynamic game theory to obtain a two-point boundary value equation, wherein the two-point boundary value equation comprises a differential equation of a costate vector, and a new kinetic equation and a time cross-sectional equation represented by the costate vector; for the built two-point boundary value equation obtained in a two-point boundary value problem, obtaining a solution of the equation by using a method of combining a particle swarm algorithm with a nonlinear programming method, thereby obtaining an optimal control strategy and an optimal trajectory for spacecraft chase.

Description

technical field [0001] The invention relates to a multi-spacecraft chase and escape control method based on dynamic game theory, and belongs to the technical field of spacecraft control. Background technique [0002] Similar to the pursuit and escape on the ground, for the purpose of pursuit or anti-pursuit, the relative motion scene involving at least two spacecraft under the action of control force is called the space pursuit and escape of the spacecraft. Space chasing and escape technology plays an important role in spacecraft space security and on-orbit service. Due to the inconsistency of mission objectives among spacecraft, the control strategy of spacecraft can be analyzed by using the idea of ​​non-cooperative dynamic game. The so-called dynamic game (ISAACS R. Differential Games [M]. New York: John Wiley and Sons, 1965: 1-5.), that is, in the confrontation process of the participants, at least one participant can use the state information in the previous process T...

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Problems solved by technology

The function of the linear model adopted by Hayoun is to deal with the situation of relatively short distance, and although it is a multi-spacecraft game, it does not include defensive spacecraft, and its role is limited; although Rusnak’s model includes three parties of pursuit, escape and defense, it proposes two time The method of analyzing under the history will lead to the complex situation of the index function, which is cumbersome in the process of use; the model of Yifang Liu et al. is a simplified multi-spacecraft game model, because the protected person in this model, that is, the target spacecraft does not have It has the ability to maneuver, and uses the relative position relationship of the terminals of the three spacecraft as the index function to simplify the solution process, but the form of the index function and the terminal target set is repeated

[0005] In short, the existing models for studying multi-spacecraft pursuit and escape are not perfect. They all split the multi-spacecraft game into multiple double-spacecraft games, and model and solve them under multiple time histories. The model is complex and the solution strategy Most of the initial value guessing is required, and it is difficult to guarantee convergence

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