Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (3): 587-600.doi: 10.21629/JSEE.2018.03.16

• Control Theory and Application • Previous Articles     Next Articles

Optimal midcourse trajectory planning considering the capture region

Jin ZHOU1,*(), Lei SHAO1(), Huaji WANG1(), Dayuan ZHANG2(), Humin LEI1()   

  1. 1 Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China
    2 Unit 95948 of the PLA, Jiuquan 732750, China
  • Received:2017-05-26 Online:2018-06-28 Published:2018-07-02
  • Contact: Jin ZHOU E-mail:zhoujindr@yahoo.com;shaoleijin@163.com;whj20081744@163.com;dayuanyjs@163.com;hmleinet@21cn.com
  • About author:ZHOU Jin was born in 1989. He is a Ph.D. candidate in control theory and engineering at Air and Missile Defense College, Air Force Engineering University, Xi’an, China. He received his B.S. and M.S. degrees from Air Force Engineering University in 2015 and 2012, respectively. His current research interests focus on the hypersonic interception, advanced guidance law design, and missile automatic controller design. E-mail: zhoujindr@yahoo.com|SHAO Lei was born in 1982. He is now an assistant professor at Air and Missile Defense College, Air Force Engineering University, Xi’an, China. He received his Ph.D. and B.S. degrees from Air Force Engineering University. His research interests include the hypersonic vehicle controller design and aircrafts trajectory optimization. E-mail: shaoleijin@163.com|WANG Huaji was born in 1988. He is a Ph.D. candidate in control theory and engineering at Air and Missile Defense College, Air Force Engineering University, Xi’an, China. His current research interests focus on the hypersonic interception, cooperative guidance law design, and capture region analysis. E-mail: whj20081744@163.com|ZHANG Dayuan was born in 1987. He is now an assistant engineer at Unit 95948 of the PLA, Jiuquan, China. He received his Ph.D. and B.S. degrees from Air Force Engineering University. His research interests include the hypersonic vehicle trajectory optimization and midcourse guidance law design. E-mail: dayuanyjs@163.com|LEI Humin was born in 1960. He is now a professor and a supervisor for doctors in Air and Missile Defense College, Air Force Engineering University, Xi’an, China. He received his M.S. and Ph.D. degrees from Northwestern Polytechnical University, in 1989 and 1999, respectively. His current research interests lie in the field of advanced guidance law design, hypersonic vehicle controller design and hypersonic interception strategy. E-mail: hmleinet@21cn.com
  • Supported by:
    the National Natural Science Foundation of China(61573374);the National Natural Science Foundation of China(61503408);This work was supported by the National Natural Science Foundation of China (61573374; 61503408)

Abstract:

An optimal midcourse trajectory planning approach that considers the capture region (CR) of the terminal guidance is proposed in this article based on the Gauss pseudospectral method (GPM). Firstly, the planar CR of the proportional navigation in terminal guidance is analyzed and innovatively introduced in the midcourse trajectory planning problems, with the collision triangle (CT) serving as the ideal terminal states parameters of the midcourse phase, and the CR area serving as the robustness against target maneuvers. Secondly, the midcourse trajectory planning problem that considers the path, terminal and control constraints is formulated and the well-developed GPM is used to generate the nominal trajectory that meets the CR demands. The interceptor will reshape the trajectory only when the former CR fails to cover the target, which has loosened the critical demand for frequent trajectory modification. Finally, the simulations of four different scenarios are carried out and the results prove the effectiveness and optimality of the proposed method.

Key words: capture region (CR), collision triangle (CT), midcourse guidance, trajectory planning, hypersonic interception, trajectory modification