Systems Engineering and Electronics ›› 2025, Vol. 47 ›› Issue (5): 1627-1637.doi: 10.12305/j.issn.1001-506X.2025.05.24

• Guidance, Navigation and Control • Previous Articles    

Prescribed performance control of hypersonic morphing vehicle based on high-order fixed-time observer

Yiheng LI1, Qunli XIA1,*, Mingkai WANG2   

  1. 1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
    2. Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
  • Received:2024-06-24 Online:2025-06-11 Published:2025-06-18
  • Contact: Qunli XIA

Abstract:

In view of the problem of model uncertainty, external time-varying disturbances, control input saturation, and system state constraints in hypersonic morphing vehicles, a prescribed performance control method based on high-order fixed-time disturbance observer is designed. Firstly, a dynamic model of hypersonic morphing aircraft is established and anti-saturation auxiliary functions is designed considering the problem of control saturation. Secondly, to enhance the estimation accuracy of the comprehensive disturbance, a high-order fixed-time disturbance observer is designed by differentiating the observer disturbance estimation term. Based on the obstacle Lyapunov function and the prescribed finite-time convergence theory, a controller is designed using a backstepping method to ensure that the tracking error of the output state converges to the origin neighborhood within the prescribed time. At the same time, to circumvent the "computational explosion" issue associated with the continuous differentiation of virtual control laws, the time-varying disturbance of the inner loop and the differentiation of the virtual control law are treated as the comprehensive disturbance of the inner loop, and the disturbance estimation output of the high-order fixed-time disturbance observer is used as the compensation term of the control law. The Lyapunov stability theory substantiates the convergence and stability of the closed-loop control system. Finally, the designed simulation and comparative experiments confirm that the proposed method is characterized by rapid convergence, high tracking precision, and robust stability.

Key words: hypersonic morphing vehicle, high-order fixed-time disturbance observer, prescribed finite-time function, prescribed performance, anti-saturation auxiliary function

CLC Number: 

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