Journal of Systems Engineering and Electronics ›› 2020, Vol. 31 ›› Issue (6): 1286-1296.doi: 10.23919/JSEE.2020.000099

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Three-dimensional cooperative guidance law for multiple missiles with impact angle constraint

Biao YANG(), Wuxing JING(), Changsheng GAO*()   

  1. 1 School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
  • Received:2019-11-14 Online:2020-12-18 Published:2020-12-29
  • Contact: Changsheng GAO E-mail:yangbhit@163.com;jingwuxing@hit.edu.cn;gaocs@hit.edu.cn
  • About author:|YANG Biao was born in 1994. He received his B.S. degree from Harbin Institute of Technology in 2016. He is currently a Ph.D. candidate in Harbin Institute of Technology. His research interests are guidance and control of aircraft. E-mail: yangbhit@163.com||JING Wuxing was born in 1965. He received his B.S. degree from Henan Normal University in 1986, and M.S. degree and Ph.D. degree from Harbin Institute of Technology in 1989 and 1994 respectively. He is currently a professor and Ph.D. supervisor in Harbin Institute of Technology. His research interests are autonomous navigation, nonlinear guidance, dynamics and control of aircraft. E-mail: jingwuxing@hit.edu.cn||GAO Changsheng was born in 1978. He received his B.S. degree and Ph.D. degree from Harbin Institute of Technology in 2002 and 2007 respectively. He is currently a professor and Ph.D. supervisor in Harbin Institute of Technology. His research interests are guidance, navigation and control of aircraft, and moving mass control technology. E-mail: gaocs@hit.edu.cn
  • Supported by:
    This work was supported by the National Nature Science Foundation of China (11572097)

Abstract:

This paper proposes a cooperative guidance law for attacking a ground target with the impact angle constraint based on the motion camouflage strategy in the line-of-sight (LOS) frame. A dynamic model with the impact angle constraint is established according to the relative motion between multiple missiles and the target. The process of cooperative guidance law design is divided into two stages. Firstly, based on the undirected graph theory, a new finite-time consensus protocol on the LOS direction is derived to guarantee relative distances reach consensus. And the value of acceleration command is positive, which is beneficial for engineering realization. Secondly, the acceleration command on the normal direction of the LOS is designed based on motion camouflage and finite-time convergence, which can ensure the missiles reach the target with the desired angle and satisfy the motion camouflage state. The finite-time stability analysis is proved by the Lyapunov theory. Numerical simulations for stationary and maneuver targets have demonstrated the effectiveness of the cooperative guidance law proposed.

Key words: cooperative guidance law, motion camouflage, impact angle constraint, finite-time