Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (2): 426-437.doi: 10.23919/JSEE.2022.000043

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

A trajectory shaping guidance law with field-of-view angle constraint and terminal limits

Shengnan FU1(), Guanqun ZHOU2,*(), Qunli XIA3()   

  1. 1 School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China
    2 Beijing Aerospace Technology Institute, Beijing 100074, China
    3 School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Received:2020-11-23 Online:2022-05-06 Published:2022-05-06
  • Contact: Guanqun ZHOU E-mail:3120160497@bit.edu.cn;zhougq5307@163.com;1010@bit.edu.cn
  • About author:|FU Shengnan was born in 1993. She received her B.E. degree from Beijing Institute of Technology, Beijing, China, in 2014. She is currently a doctoral student in the School of Mechatronical Engineering, Beijing Institute of Technology. Her main research interests include ?ight vehicle design, guidance and control. E-mail: 3120160497@bit.edu.cn||ZHOU Guanqun was born in 1992. He received his B.E., M.S. and Ph.D. degrees from the School of Aerospace Engineering, Beijing Institute of Technology, Beijing, China, in 2014, 2017 and 2020, respectively. He is currently working in Beijing Aerospace Technology Institute. His research interests include trajectory optimization, design of guidance laws and tracking controllers. E-mail: zhougq5307@163.com||XIA Qunli was born in 1971. He received his B.E. degree in launcher and design from Beijing Institute of Technology in 1993, and M.S. degree in flight mechanics from Beijing Institute of Technology in 1996. He received his Ph.D. degree in aircraft design from Beijing Institute of Technology in 1999. He is an adjunct professor in Beijing Institute of Technology. His research interests are control and guidance technology. E-mail: 1010@bit.edu.cn
  • Supported by:
    This work was supported by the Defense Science and Technology Key Laboratory Fund of Luoyang Electro-Optical Equipment Institute, Aviation Industry Corporation of China (6142504200108).

Abstract:

In this paper, a trajectory shaping guidance law, which considers constraints of ?eld-of-view (FOV) angle, impact angle, and terminal lateral acceleration, is proposed for a constant speed missile against a stationary target. First, to decouple constraints of the FOV angle and the terminal lateral acceleration, the third-order polynomial with respect to the line-of-sight (LOS) angle is introduced. Based on an analysis of the relationship between the looking angle and the guidance coefficient, the boundary of the coefficient that satisfies the FOV constraint is obtained. The terminal guidance law coefficient is used to guarantee the convergence of the terminal conditions. Furthermore, the proposed law can be implemented under bearings-only information, as the guidance command does not involve the relative range and the LOS angle rate. Finally, numerical simulations are performed based on a kinematic vehicle model to verify the effectiveness of the guidance law. Overall, the work offers an easily implementable guidance law with closed-form guidance gains, which is suitable for engineering applications.

Key words: shaping guidance law, field-of-view (FOV) constraint, impact angle constraint, terminal lateral acceleration constraint