Journal of Systems Engineering and Electronics ›› 2024, Vol. 35 ›› Issue (2): 451-462.doi: 10.23919/JSEE.2024.000008

• CONTROL THEORY AND APPLICATION • Previous Articles    

Time-varying parameters estimation with adaptive neural network EKF for missile-dual control system

Yuqi YUAN1(), Di ZHOU1,*(), Junlong LI2(), Chaofei LOU2   

  1. 1 School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
    2 Beijing Institute of Electronic System Engineering, Beijing 100854, China
  • Received:2022-08-24 Online:2024-04-18 Published:2024-04-18
  • Contact: Di ZHOU E-mail:994631152@qq.com;zhoud@hit.edu.cn;hit_szL@163.com
  • About author:
    YUAN Yuqi was born in 1994. He received his B.E. and M.E. degrees from Harbin Engineering University in 2016 and 2019. He is now studying for a Ph.D. degree in Harbin Institute of Technology. His research interests include neural network, system identification, and nonlinear filtering. E-mail: 994631152@qq.com

    ZHOU Di was born in 1969. He received his B.E. and Ph.D. degrees in automatic control from Harbin Institute of Technology, Harbin, China, in 1991 and 1996, respectively. He once worked as a postdoctoral fellow in the Automation Department, Tsinghua University, Beijing, China, and a research fellow in the Department of Mechanical Engineering, Sophia University, Japan. He is now a professor in School of Astronautics, Harbin Institute of Technology. His research interests include nonlinear control, nonlinear filtering, and missile guidance and control. E-mail: zhoud@hit.edu.cn

    LI Junlong was born in 1964. He received his Ph.D. degree from Harbin Institute of technology and now works as a researcher in Beijing Institute of Electronic System Engineering. His research interests include the overall design of aircraft , the navigation, guidance, and control. E-mail: hit_szL@163.com

    LOU Chaofei was born in 1974. He received his Ph.D. degree from Beijing Institute of Electronic System Engineering, Beijing, China, in 2007. He is now working as a senior engineer in Beijing Institute of Electronic System Engineering. His research interests include navigation, guidance, and control. E-mail: louchaofei@ yahoo.com.cn

Abstract:

In this paper, a filtering method is presented to estimate time-varying parameters of a missile dual control system with tail fins and reaction jets as control variables. In this method, the long-short-term memory (LSTM) neural network is nested into the extended Kalman filter (EKF) to modify the Kalman gain such that the filtering performance is improved in the presence of large model uncertainties. To avoid the unstable network output caused by the abrupt changes of system states, an adaptive correction factor is introduced to correct the network output online. In the process of training the network, a multi-gradient descent learning mode is proposed to better fit the internal state of the system, and a rolling training is used to implement an online prediction logic. Based on the Lyapunov second method, we discuss the stability of the system, the result shows that when the training error of neural network is sufficiently small, the system is asymptotically stable. With its application to the estimation of time-varying parameters of a missile dual control system, the LSTM-EKF shows better filtering performance than the EKF and adaptive EKF (AEKF) when there exist large uncertainties in the system model.

Key words: long-short-term memory (LSTM) neural network, extended Kalman filter (EKF), rolling training, time-varying parameters estimation, missile dual control system