The differential game barrier model for spacecraft under target maneuvering based on minimum error

Qiu-hua Zhang; Jian Chen; Song-tao Sun; Yi Sun

doi:10.1117/12.718910

3 May 2007 The differential game barrier model for spacecraft under target maneuvering based on minimum error

Qiu-hua Zhang, Jian Chen, Song-tao Sun, Yi Sun

Proceedings Volume 6555, Sensors and Systems for Space Applications; 655518 (2007) https://doi.org/10.1117/12.718910
Event: Defense and Security Symposium, 2007, Orlando, Florida, United States

Abstract

This paper explores the pursuit-evasion game of two spacecrafts in low coplanar orbit under minute continuous thrust. By using differential game theory, this study verifies terminal conditions confined by controlling, target set and velocity and gives the linear game model of minimum error that is compared with nonlinear game model on sight coordinate. The terminal conditions are fixed by constructing parameter equations set, which are obtained by the optimal controlling strategy for both spacecraft. Within the linearized set of equations, there are variable parameters that are associated with the linearization process. Using differential game of kind theory, this paper obtains the expression of the barrier with the variable parameters to be established. According to extremum theory of the minimum error, the parameters to be established are achieved. This paper gives the results of theoretical derivation and numerical simulation.

Citation Download Citation

Qiu-hua Zhang, Jian Chen, Song-tao Sun, and Yi Sun "The differential game barrier model for spacecraft under target maneuvering based on minimum error", Proc. SPIE 6555, Sensors and Systems for Space Applications, 655518 (3 May 2007); https://doi.org/10.1117/12.718910

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