Journal of Systems Engineering and Electronics ›› 2021, Vol. 32 ›› Issue (3): 700-710.doi: 10.23919/JSEE.2021.000060

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Time-varying sliding mode control of missile based on suboptimal method

Zongxing LI*(), Rui ZHANG()   

  1. 1 Beijing Institute of Electronic System Engineering, Beijing 100854, China
  • Received:2020-06-11 Online:2021-06-18 Published:2021-07-26
  • Contact: Zongxing LI E-mail:1843042719@qq.com;20328587@qq.com
  • About author:|LI Zongxing was born in 1995. He received his B.S. degree in automation from Wuhan University, Wuhan, China, in 2016. Currently, he is working towards his Ph.D. degree in control science and engineering at Beijing Institute of Electronic System Engineering, Beijing, China. His research interests include aerocraft control and nonlinear control. E-mail: 1843042719@qq.com||ZHANG Rui was born in 1976. She received her B.S. degree in computer theory and application from Harbin Engineering University, Harbin, China, in 1998. She received her Ph.D. degree in control theory and application from Harbin Engineering University, Harbin, China, in 2003. She is a research supervisor in Beijing Institute of Electronic System Engineering, Beijing, China. Her research interests include navigation, guidance and control. E-mail: 20328587@qq.com
  • Supported by:
    This work was supported by the China Postdoctoral Science Foundation (2017M620863)

Abstract:

This paper proposes a time-varying sliding mode control method to address nonlinear missile body kinematics based on the suboptimal control theory. The analytical solution of suboptimal time-varying sliding surface and the corresponding suboptimal control law are obtained by solving the state-dependent Riccati equation analytically. Then, the Lyapunov method is used to analyze the motion trend in sliding surface and the asymptotic stability of the closed-loop system is validated. The suboptimal control law is transformed to the form of pseudo-angle-of-attack feedback. The simulation results indicate that the satisfactory performance can be obtained and the control law can overcome the influence of parameter errors.

Key words: suboptimal control, Riccati equation, analytic solution, sliding mode control, nonlinear control