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具有输入约束的吸气式高超声速飞行器基于模糊逼近的预设性能控制

Fuzzy-approximation-based prescribed performance control of air-breathing hypersonic vehicles with input constraints.

作者信息

Li Xingge, Li Gang, Zhao Yan, Kang Xuchao

机构信息

Graduate College, Air Force Engineering University, Xi'an, P.R. China.

Air and Missile Defense College, Air Force Engineering University, Xi'an, P.R. China.

出版信息

Sci Prog. 2020 Jan-Mar;103(1):36850419877359. doi: 10.1177/0036850419877359. Epub 2019 Sep 25.

DOI:10.1177/0036850419877359
PMID:31829862
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10453734/
Abstract

In this article, aiming at the longitudinal dynamics model of air-breathing hypersonic vehicles, a fuzzy-approximation-based prescribed performance control scheme with input constraints is proposed. First, this article presents a novel prescribed performance function, which does not depend on the sign of initial tracking error. And combining prescribed performance control method with backstepping control, the control scheme can ensure that system can converge at a prescribed rate of convergence, overshoot, and steady-state error. In order to solve the problem that backstepping control method needs to be differentiated multiple times, fuzzy approximators are used to estimate the unknown functions, and norm estimation approach is used to simplify the computation of fuzzy approximator. Aiming at the problem of input saturation of actuator in subsystem of air-breathing hypersonic vehicle, the new auxiliary system is designed to ensure the stability and robustness of air-breathing hypersonic vehicle system under input constraints. Finally, the effectiveness of the proposed control strategy is verified by simulation analysis.

摘要

针对吸气式高超声速飞行器的纵向动力学模型，本文提出了一种基于模糊逼近的具有输入约束的预设性能控制方案。首先，本文提出了一种新颖的预设性能函数，该函数不依赖于初始跟踪误差的符号。并且将预设性能控制方法与反步控制相结合，该控制方案能够确保系统以规定的收敛速率、超调量和稳态误差收敛。为了解决反步控制方法需要多次求导的问题，采用模糊逼近器来估计未知函数，并采用范数估计方法简化模糊逼近器的计算。针对吸气式高超声速飞行器子系统中执行器的输入饱和问题，设计了新的辅助系统，以确保吸气式高超声速飞行器系统在输入约束下的稳定性和鲁棒性。最后，通过仿真分析验证了所提控制策略的有效性。

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本文引用的文献

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Continuous high order sliding mode controller design for a flexible air-breathing hypersonic vehicle.连续高阶滑模控制器设计用于柔性吸气式高超音速飞行器。
ISA Trans. 2014 May;53(3):690-8. doi: 10.1016/j.isatra.2014.01.002. Epub 2014 Feb 16.