Journal of Systems Engineering and Electronics ›› 2020, Vol. 31 ›› Issue (5): 1019-1030.doi: 10.23919/JSEE.2020.000076

• Control Theory and Application • Previous Articles     Next Articles

Finite-time control of formation system for multiple flight vehicles subject to actuator saturation

Enjiao ZHAO1,*(), Zenan ZHONG1(), Xin ZHENG2()   

  1. 1 School of Automation, Harbin Engineering University, Harbin 150001, China
    2 Shanghai Academy of Spaceflight Technology, Shanghai 200233, China
  • Received:2012-12-06 Online:2020-10-01 Published:2020-10-30
  • Contact: Enjiao ZHAO E-mail:zhaoenjiao935@163.com;zhongzenan@hrbeu.edu.cn;felgus@126.com
  • About author:ZHAO Enjiao was born in 1989. She received her B.S. and M.S. degrees from Harbin Engineering University, Harbin, China, in 2011 and 2013, respectively. She received her Ph.D. degree in control science and engineering from the School of Astronautics, Harbin Institute of Technology in 2018. She is currently a lecturer in Harbin Engineering University. Her current research interests include cooperative control and formation control of multiple flight vehicles. E-mail: zhaoenjiao935@163.com|ZHONG Zenan was born in 1996. He received his B.S. degree from Harbin Engineering University, Harbin, China, in 2018. He is currently working toward his M.S. degree in control science and engineering in the School of Automation, Harbin Engineering University. His current research interests include cooperative estimation and formation control of multiple flight vehicles. E-mail: zhongzenan@hrbeu.edu.cn|ZHENG Xin was born in 1980. He is a master and senior engineer in Shanghai Academy of Spaceflight Technology. His current research interests include system design of flight vehicle and cooperative control of multiple flight vehicles. E-mail: felgus@126.com
  • Supported by:
    the National Natural Science Foundation of China(61903099);the Natural Science Foundation of Heilongjiang Province(LH2020F025);the Fundamental Research Funds for the Central Universities(3072020CF0406);This work was supported by the National Natural Science Foundation of China (61903099), the Natural Science Foundation of Heilongjiang Province (LH2020F025), and the Fundamental Research Funds for the Central Universities (3072020CF0406)

Abstract:

This paper investigates the problem of formation tracking control for multiple flight vehicle (MFV) system considering actuator saturation constraints. First, the formation tracking control model is established. Then, the problem of formation control of the MFV system is converted to the convergence of a dynamical system, which is obtained by using the differential geometry theory. A class of saturation functions is introduced, and on this basis a second-order finite-time formation control protocol is developed. With the help of the homogeneous theory and Lasalle's invariance principle, it is theoretically proved that the designed formation protocol could complete the formation task in finite time, and the control inputs are shown to remain within their available actuating limits. Finally, simulations are performed to verify the effectiveness of the scheme.

Key words: formation control, multiple flight vehicle (MFV), finite-time, actuator saturation