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执行器故障下变体飞行器线性变参数容错控制

范绪恩,蔡光斌*,吴彤,肖永强,尚逸鸣   

  1. 火箭军工程大学 导弹工程学院
  • 收稿日期:2025-01-13 修回日期:2025-04-22
  • 基金资助:
    国家自然科学基金(62473374); 国家自然科学基金(62403487); 国家自然科学基金(U2441243)

Linear Parameter-Varying Fault-Tolerant Control of Morphing Aircraft with Actuator Failures

FAN Xu’en, CAI Guangbin*, WU Tong, XIAO Yongqiang, SHANG Yiming   

  1. College of Missile Engineering, Rocket Force University of Engineering
  • Received:2025-01-13 Revised:2025-04-22

摘要: 针对变体飞行器在飞行过程中匹配干扰和执行器乘性故障问题,提出一种基于多胞线性变参数(Linear Parameter-Varying,LPV)模型的滑模容错控制方法。基于一类翼展变形变体飞行器的纵向非线性动力学模型,建立变体飞行器的LPV模型。将LPV模型转化为多胞体形式,使无限维数的线性矩阵不等式求解问题转化为有限维数LMI问题。为保证执行器在发生故障时变体飞行器的稳定性和鲁棒性,选取合适的滑模面并设计滑模容错控制律,给出一种增益调度容错控制算法,并应用于变体飞行器进行数值仿真验证。仿真结果表明:所设计的控制器能够保证闭环系统在执行器发生故障时的稳定性和抗干扰能力。

关键词: 变体飞行器, 线性变参数模型, 线性矩阵不等式, 滑模控制, 容错控制

Abstract: A sliding mode fault-tolerant control method based on polytopic linear parameter-varying (LPV) model is proposed to address the problems of the matched disturbances and actuator multiplicative failures of morphing aircraft during the flight process. The longitudinal nonlinear dynamics model of morphing aircraft undergoing wingspan deformation is presented, which is used for obtaining an LPV model of morphing aircraft. Then, the LPV model of morphing aircraft is transformed into the polytopic form, which can convert the infinite-dimensional linear matrix inequality (LMI) problem into the finite-dimensional LMI problem. To ensure the stability and robustness of morphing aircraft when the system actuator fails, a gain-scheduled fault-tolerant control algorithm is proposed by selecting a suitable sliding mode surface and designing a sliding mode fault-tolerant control law. The designed controller is applied to morphing aircraft for simulation verification. The simulation results show that the designed controller can ensure the stability and anti-interference ability of the closed-loop system when the actuator fails.

Key words: morphing aircraft, linear parameter-varying model, linear matrix inequality, sliding mode control, fault-tolerant control

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