Journal of Systems Engineering and Electronics ›› 2023, Vol. 34 ›› Issue (2): 492-500.doi: 10.23919/JSEE.2023.000039


Minimum eigenvalue based adaptive fault compensation for hypersonic vehicles

Yajie MA(), Bin JIANG(), Hao REN()   

  1. 1 College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2021-02-25 Online:2023-04-18 Published:2023-04-18
  • Contact: Yajie MA;;
  • About author:
    MA Yajie was born in 1987. He received his B.S. degree in automation from Nanjing University of Aeronautics and Astronautics (NUAA), Nanjing, China, in 2008, M.S. degree in detection technology and automatic equipment from Hohai University, Nanjing, China, in 2011, and Ph.D. degree in control theory and control engineering from NUAA, in 2015. From 2015 to 2016, he was a post-doctoral fellow of the research center in computer science, signal processing and automatic control (CRIStAL-CNRS UMR 9189), Lille, France. Currently, he is a professor at the College of Automation Engineering with NUAA. His research interests include adaptive fault diagnosis and fault-tolerant control and their applications. E-mail:

    JIANG Bin was born in 1966. He received his Ph.D. degree in automatic control from Northeastern University, Shenyang, China, in 1995. He had ever been a post-doctoral fellow, a research fellow, an invited professor, and a visiting professor in Singapore, France, USA, and Canada, respectively. He is currently a chair professor of Cheung Kong Scholar Program with the Ministry of Education and the vice president of Nanjing University of Aeronautics and Astronautics, Nanjing, China. He has authored eight books and over 200 referred international journal papers and conference papers. His current research interests include intelligent fault diagnosis and fault tolerant control and their applications to helicopters, satellites, and high-speed trains. E-mail:

    REN Hao was born in1996. She received her B.S. degree in information and computing science and M.S. degree in control engineering from Nanjing University of Aeronautics and Astronautics (NUAA), Nanjing, China, in 2018 and 2021 respectively. She is currently working toward Ph.D. degree at NUAA, Nanjing, China. Her research interests include adaptive control, fault-tolerant control and their applications. E-mail:
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (62020106003;62273177;62233009), the Natural Science Foundation of Jiangsu Province of China (BK20222012;BK20211566), the Programme of Introducing Talents of Discipline to Universities of China (B20007), and the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and Astronautics) (MCMS-I-0121G03)


The attitude tracking control problem is addressed for hypersonic vehicles under actuator faults that may cause an uncertain time-varying control gain matrix. An adaptive compensation scheme is developed to ensure system stability and asymptotic tracking properties, including a kinematic control signal and a dynamic control signal. To deal with the uncertainties of the control gain matrix, a new positive definite one is constructed. The minimum eigenvalue of such a new control gain matrix is estimated. Simulation results of application to an X-33 vehicle model verify the effectiveness of the proposed minimum eigenvalue based adaptive fault compensation scheme.

Key words: actuator fault, adaptive compensation, hypersonic vehicle, minimum eigenvalue