Journal of Zhejiang University SCIENCE A 2026 Vol.27 No.4 P.348-364

http://doi.org/10.1631/jzus.A2500172


Fixed-time robust attitude tracking control for high-speed aircraft: a precise funnel-guided approach


Author(s):  Kai AN, Wei HUANG, Shuangxi LIU

Affiliation(s):  1. Advanced Propulsion Technology Laboratory, National University of Defense Technology, Changsha 410073, China

Corresponding email(s):   gladrain2001@163.com

Key Words:  Funnel control, Fixed-time theory, Attitude control, Radial basis function neural network (RBFNN), High-speed aircraft


Kai AN, Wei HUANG, Shuangxi LIU. Fixed-time robust attitude tracking control for high-speed aircraft: a precise funnel-guided approach[J]. Journal of Zhejiang University Science A, 2026, 27(4): 348-364.

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publisher="Zhejiang University Press & Springer",
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%T Fixed-time robust attitude tracking control for high-speed aircraft: a precise funnel-guided approach
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%A Wei HUANG
%A Shuangxi LIU
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DOI - 10.1631/jzus.A2500172


Abstract: 
In this article, we present a fixed-time robust attitude control scheme with severe funnel driving constraints for high-speed aircraft developed concerning uncertain signals. First, an adaptive fixed-time radial basis function neural network (AFTR) observer is described, designed as a compensation control based on a converted attitude error system, aiming at eliminating the influence of strong disturbances and uncertainties. Then, we propose a performance-prescribed transformation strategy that can effectively enhance the accuracy of error tracking and state convergence by constructing second-order performance error functions. Based on the above preparation and transformation, we present a double-integral fixed-time sliding mode controller combined with an auxiliary oscillation-suppression function designed to achieve fixed-time convergence of attitude angles and angular rates, which ensures the rapidity of error tracking and state convergence. Finally, the fixed-time stability of the entire closed-loop system is proved via Lyapunov synthesis theory, and the upbound of convergence time is derived. Nominal and comparative simulation cases were used to investigate the effectiveness and reliability of the proposed integrated framework.

高速飞行器固定时间鲁棒姿态跟踪控制:一种精确的漏斗引导方法

作者:安凯,黄伟,刘双喜
机构:国防科技大学,先进推进技术实验室,中国长沙,410073
目的:高速飞行器姿态控制系统具有复杂非线性动态耦合特性且在飞行过程中持续受环境不确定因素影响,因此其对信号的响应速度、跟踪精度以及抗干扰能力亟需提升。本文旨在通过结合预设性能方法、滑模理论及径向基函数神经网络(RBFNN)等技术的优势,发展具有严格动态性能约束的鲁棒固定时间姿态控制方案,以实现快速精准的跟踪误差控制。
创新点:1.提出一种改进漏斗剖面引导的预设性能控制方案;2.提出融合辅助振荡抑制函数的双环积分固定时间滑模控制器;3.提出自适应网络权值更新的固定时间RBFNN观测器。
方法:1.通过姿态动力学模型,设计自适应固定时间RBFNN观测器作为补偿控制;2.通过转换的误差控制模型,提出漏斗引导的预设性能转换方法,并基于此,结合设计的辅助振荡抑制函数,推导出双积分固定时间滑模控制器;3.通过李雅普诺夫理论证明整个闭环系统的固定时间稳定性;4.通过标称与对比工况仿真,验证所提姿态集成控制框架的有效性与可靠性。
结论:1.姿态角度与角速度跟踪误差的固定时间收敛特性得到验证,无显著超调与震荡出现;2.雷达图显示,所提方法在调节时间、稳态精度及平均控制能量等方面均有显著优势;3.融合固定时间收敛特性的RBFNN观测器对姿态集成控制框架中的干扰因素具有良好估计。

关键词:漏斗控制;固定时间理论;姿态控制;RBFNN;高速飞行器

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]AnK, GuoZY, HuangW, et al., 2022. Leap trajectory tracking control based on sliding mode theory for hypersonic gliding vehicle. Journal of Zhejiang University-SCIENCE A, 23(3):188-207.

[2]BaoCY, WangP, TangGJ, 2023. Data-driven based model-free adaptive optimal control method for hypersonic morphing vehicle. IEEE Transactions on Aerospace and Electronic Systems, 59(4):3713-3725.

[3]BechlioulisCP, RovithakisGA, 2008. Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. IEEE Transactions on Automatic Control, 53(9):2090-2099.

[4]BergerT, RauertAL, 2020. Funnel cruise control. Automatica, 119:109061.

[5]BouaissO, MechgougR, Taleb-AhmedA, et al., 2024. Robust trajectory tracking of quadrotors using adaptive radial basis function network compensation control. Journal of the Franklin Institute, 361(3):1167-1185.

[6]BuXW, 2023. Prescribed performance control approaches, applications and challenges: a comprehensive survey. Asian Journal of Control, 25(1):241-261.

[7]BuXW, XiaoY, 2018. Prescribed performance-based low-computational cost fuzzy control of a hypersonic vehicle using non-affine models. Advances in Mechanical Engineering, 10(2):1-12.

[8]BuXW, HuaCC, LvML, et al., 2023. Flight control of waverider vehicles with fragility-avoidance prescribed performance. IEEE Transactions on Aerospace and Electronic Systems, 59(5):5248-5261.

[9]ChenHL, WangP, TangGJ, 2023. Fuzzy disturbance observer-based fixed-time sliding mode control for hypersonic morphing vehicles with uncertainties. IEEE Transactions on Aerospace and Electronic Systems, 59(4):3521-3530.

[10]ChenLL, LiuZB, DangQQ, et al., 2024. Robust fixed-time flight controller for a dual-system convertible UAV in the cruise mode. Defence Technology, 39:53-66.

[11]ChenM, WangHQ, LiuXP, 2021. Adaptive fuzzy practical fixed-time tracking control of nonlinear systems. IEEE Transactions on Fuzzy Systems, 29(3):664-673.

[12]DingYB, YueXK, LiuC, et al., 2022. Finite-time controller design with adaptive fixed-time anti-saturation compensator for hypersonic vehicle. ISA Transactions, 122:96-113.

[13]DongZH, LiYH, LvML, et al., 2022. Fuzzy adaptive prescribed performance fault-tolerant control for HFVs with fixed-time convergence guarantee. International Journal of Aerospace Engineering, 2022:2438657.

[14]GuoYY, XuB, 2022. Finite-time deterministic learning command filtered control for hypersonic flight vehicle. IEEE Transactions on Aerospace and Electronic Systems, 58(5):4214-4225.

[15]KeshmiriS, MirmiraniM, ColgrenR, 2012. Six-DOF modeling and simulation of a generic hypersonic vehicle for conceptual design studies. AIAA Modeling and Simulation Technologies Conference and Exhibit, p.1-12.

[16]LiCY, WangW, LiuZJ, et al., 2024. Adaptive neural network based fixed-time attitude tracking control of spacecraft considering input saturation. Aerospace Science and Technology, 155:109746.

[17]LiWT, ZhaoJS, SuSW, et al., 2023. Adaptive output feedback attitude control for reusable launch vehicle with input constraints and actuator faults. Aerospace Science and Technology, 142:108616.

[18]LiuSH, YanJG, CaoJF, et al., 2021. Review of the precise orbit determination for Chinese lunar exploration projects. Earth and Space Science, 8(4):e2020EA001361.

[19]LunYB, WangHL, WuTC, et al., 2024. A changeable boundary prescribed performance control for the altitude ground test facility. Nonlinear Dynamics, 112(6):4483-4506.

[20]MengY, YuX, ZhuYK, et al., 2024. Fixed-time attitude control of reusable launch vehicles utilizing reliability-based control allocation. Control Engineering Practice, 151:106013.

[21]MoulayE, LéchappéV, BernuauE, et al., 2022. Fixed-time sliding mode control with mismatched disturbances. Automatica, 136:110009.

[22]ParsegovS, PolyakovA, ShcherbakovP, 2012. Nonlinear fixed-time control protocol for uniform allocation of agents on a segment. The 51st IEEE Conference on Decision and Control, p.7732-7737.

[23]PolyakovA, 2012. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 57(8):2106-2110.

[24]QianCJ, LinW, 2001. Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization. Systems & Control Letters, 42(3):185-200.

[25]ShenYX, ZhouDJ, WuYD, et al., 2023. Anti-disturbance control for HVs system subject to nonlinear actuator characteristics with extended state observer. Journal of the Franklin Institute, 360(18):14676-14695.

[26]SongJG, ZhangJX, 2024. Fault-tolerant prescribed performance control of nonlinear systems with process faults and actuator failures. ISA Transactions, 144:220-227.

[27]SunJL, YiJQ, PuZQ, et al., 2020. Fixed-time sliding mode disturbance observer-based nonsmooth backstepping control for hypersonic vehicles. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50(11):4377-4386.

[28]TanJ, GuoSJ, 2022. Backstepping control with fixed-time prescribed performance for fixed wing UAV under model uncertainties and external disturbances. International Journal of Control, 95(4):934-951.

[29]WangF, ZhouC, HuaCC, 2024. Adaptive predefined time neural filtered control design for an uncertain nonlinear system and application to flight control. Applied Mathematical Modelling, 129:25-47.

[30]WangG, XiaHW, 2024. Fault-tolerant learning control of air-breathing hypersonic vehicles with uncertain parameters and actuator faults. Expert Systems with Applications, 238:121874.

[31]WangYY, HuJB, 2018. Improved prescribed performance control for air-breathing hypersonic vehicles with unknown deadzone input nonlinearity. ISA Transactions, 79:95-107.

[32]WuTC, WangHL, YuY, et al., 2021. Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles. Applied Mathematical Modelling, 98:143-160.

[33]WuYJ, ShaoKJ, WangN, et al., 2023. Finite-time path following control of a sailboat with actuator failure and unknown sideslip angle. Journal of Zhejiang University-SCIENCE A, 24(9):749-761.

[34]XinB, ChengS, WangQ, et al., 2023. Fixed-time prescribed performance consensus control for multiagent systems with non-affine faults. IEEE Transactions on Fuzzy Systems, 31(10):3433-3446.

[35]XuSH, GuanYZ, WeiCZ, et al., 2022. Reinforcement-learning-based tracking control with fixed-time prescribed performance for reusable launch vehicle under input constraints. Applied Sciences, 12(15):7436.

[36]YinZY, WangB, XiongRT, et al., 2024. Attitude tracking control of hypersonic vehicle based on an improved prescribed performance dynamic surface control. The Aeronautical Journal, 128(1323):875-895.

[37]ZhangBC, LiangYY, RaoST, et al., 2024. RBFNN-based anti-input saturation control for hypersonic vehicles. Aerospace, 11(2):108.

[38]ZhangH, WangP, TangGJ, et al., 2023. Fixed-time sliding mode control for hypersonic morphing vehicles via event-triggering mechanism. Aerospace Science and Technology, 140:108458.

[39]ZhangH, WangP, TangG, et al., 2024. Disturbance observer-based fixed-time control for hypersonic morphing vehicles with uncertainties. The Aeronautical Journal, 128(1326):1844-1874.

[40]ZhaoHW, YangLB, 2022. Global adaptive neural backstepping control of a flexible hypersonic vehicle with disturbance estimation. Aircraft Engineering and Aerospace Technology: An International Journal, 94(4):492-504.

[41]ZhaoJQ, FengDZ, CuiJS, et al., 2022. Finite-time extended state observer-based fixed-time attitude control for hypersonic vehicles. Mathematics, 10(17):3162.

[42]ZhaoSW, WangJC, XuHT, et al., 2023a. ADP-based attitude-tracking control with prescribed performance for hypersonic vehicles. IEEE Transactions on Aerospace and Electronic Systems, 59(5):6419-6431.

[43]ZhaoSW, WangJC, XuHT, et al., 2023b. Composite observer-based optimal attitude-tracking control with reinforcement learning for hypersonic vehicles. IEEE Transactions on Cybernetics, 53(2):913-926.

[44]ZuoZY, 2015. Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica, 54:305-309.

[45]ZuoZY, TieL, 2014. A new class of finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Control, 87(2):363-370.

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On-line Access: 2026-04-18

Received: 2025-05-08

Revision Accepted: 2025-09-16

Crosschecked: 2026-04-20

Cited: 0

Clicked: 1169

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Wei Huang

https://orcid.org/0000-0001-9805-985X

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