全状态受限的高超声速飞行器的预定性能滤波反步控制

doi:10.7527/S1000-6893.2020.23857

空天往返飞行器制导控制技术专栏

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全状态受限的高超声速飞行器的预定性能滤波反步控制

李亚苹¹, 王芳¹, 周超²

1. 燕山大学理学院, 秦皇岛 066004;
2. 河北农业大学海洋学院, 秦皇岛 066003

收稿日期:2020-01-31 修回日期:2020-03-03 出版日期:2020-11-15 发布日期:2020-06-24
通讯作者: 王芳 E-mail:wangfang@ysu.edu.cn
基金资助:
国家自然科学基金（61503323）；河北省自然科学基金（F2020203105，F2017203130）

Prescribed performance filter backstepping control of hypersonic vehicle with full state constraints

LI Yaping¹, WANG Fang¹, ZHOU Chao²

1. School of Science, Yanshan University, Qinhuangdao 066004, China;
2. Ocean College, Hebei Agricultural University, Qinhuangdao 066003, China

Received:2020-01-31 Revised:2020-03-03 Online:2020-11-15 Published:2020-06-24
Supported by:
National Natural Science Foundation of China(61503323); Natural Science Foundation of Hebei Province(F2020203105,F2017203130)

摘要/Abstract

摘要： 针对气动参数不确定和状态受限的高超声速飞行器的稳定跟踪控制问题，提出基于固定时间干扰观测器的预定性能滤波反步控制策略。首先，在反步控制的每一步中引入障碍Lyapunov函数，保证系统状态满足预先设定的约束要求。其次，设计固定时间干扰观测器对综合不确定进行估计；同时，构造新型的一阶滤波器避免传统反步控制的"计算爆炸"问题。再次，基于Lyapunov稳定性理论证明输出跟踪误差有界且状态满足约束要求。最后，通过对比仿真验证控制策略的有效性。

关键词: 高超声速飞行器, 预定性能控制, 状态约束, 障碍Lyapunov函数, 固定时间干扰观测器

Abstract: A prescribed performance backstepping control strategy based on a fixed time disturbance observer is designed for a hypersonic vehicle with uncertain aerodynamic parameters and full state constraints. Firstly, the barrier Lyapunov function is introduced into every step of the backstepping control to guarantee that the system states meet the preset constraints. Secondly, a fixed-time disturbance observer is designed to estimate the lumped uncertainty. Meanwhile, a novel first-order filter is developed to avoid the problem of "explosion of terms" inherent in traditional backstepping control. In the framework of the Lyapunov stability theory, it is proved that the tracking error is bounded and that all states satisfy the constraint requirements. Finally, the effectiveness of the control strategy is verified through compared simulation.

Key words: hypersonic vehicles, prescribed performance control, state constraints, barrier Lyapunov functions, fixed-time disturbance observers

中图分类号:

V294
TP273

李亚苹, 王芳, 周超. 全状态受限的高超声速飞行器的预定性能滤波反步控制[J]. 航空学报, 2020, 41(11): 623857-623857.

LI Yaping, WANG Fang, ZHOU Chao. Prescribed performance filter backstepping control of hypersonic vehicle with full state constraints[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(11): 623857-623857.

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E-mail：hkxb@buaa.edu.cn

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全状态受限的高超声速飞行器的预定性能滤波反步控制

Prescribed performance filter backstepping control of hypersonic vehicle with full state constraints

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