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Open AccessArticle
Dynamic Modeling and Observer-Based Fixed-Time Backstepping Control for a Hypersonic Morphing Waverider
by
Zheng Fang
Zheng Fang 1,
Zheng Li
Zheng Li 1,
Zhenyue Jia
Zhenyue Jia 2,
Jiaxun Li
Jiaxun Li 1 and
Jianqiao Yu
Jianqiao Yu 1,*
1
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
2
Beijing Aerospace Automatic Control Institute, Beijing 100854, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2024, 14(13), 5924; https://doi.org/10.3390/app14135924 (registering DOI)
Submission received: 30 April 2024
/
Revised: 1 July 2024
/
Accepted: 4 July 2024
/
Published: 7 July 2024
Abstract
This paper proposes a fixed-time backstepping control method based on a disturbance observer for a hypersonic morphing waverider (HMW). Firstly, considering the disturbance of attitude channels, a dynamic model of a variable-span-wing HMW considering additional forces and moments is established, and an aerodynamic model of the aircraft is constructed using the polynomial fitting method. Secondly, the fixed-time stability theory and backstepping control method are combined to design an HMW fixed-time attitude controller. Based on the fixed-time convergence theory, a fixed-time disturbance observer is designed to achieve an accurate online estimation of disturbance and to compensate for the control law. In order to solve the problem of the “explosion of terms”, a nonlinear first-order filter is used instead of a traditional linear first-order filter to obtain the differential signal, ensuring the overall fixed-time stability of the system. The fixed-time stability of the closed-loop system is strictly proven via Lyapunov analysis. The simulation results show that the proposed method has good adaptability under different initial conditions, morphing speeds, and asymmetric morphing rates of the HMW.
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MDPI and ACS Style
Fang, Z.; Li, Z.; Jia, Z.; Li, J.; Yu, J.
Dynamic Modeling and Observer-Based Fixed-Time Backstepping Control for a Hypersonic Morphing Waverider. Appl. Sci. 2024, 14, 5924.
https://doi.org/10.3390/app14135924
AMA Style
Fang Z, Li Z, Jia Z, Li J, Yu J.
Dynamic Modeling and Observer-Based Fixed-Time Backstepping Control for a Hypersonic Morphing Waverider. Applied Sciences. 2024; 14(13):5924.
https://doi.org/10.3390/app14135924
Chicago/Turabian Style
Fang, Zheng, Zheng Li, Zhenyue Jia, Jiaxun Li, and Jianqiao Yu.
2024. "Dynamic Modeling and Observer-Based Fixed-Time Backstepping Control for a Hypersonic Morphing Waverider" Applied Sciences 14, no. 13: 5924.
https://doi.org/10.3390/app14135924
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