基于模糊逻辑的飞机航迹角系统有限时间精确跟踪指令滤波器AILC

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Mathematical Physics Pub Date : 2023-08-18 DOI:10.1155/2023/4744873
Chunli Zhang, Xu Tian, Yangjie Gao, F. Qian
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引用次数: 0

摘要

本文以不确定飞机的纵向模型为研究对象,通过控制输入舵偏转角来控制飞机航迹倾角。针对有限时间内航迹倾斜的精确跟踪控制问题,提出了一种自适应迭代学习控制(AILC)方案。对飞机航迹角系统进行抽象建模,得到严格反馈形式的三角形模型。对于抽象的严格反馈模型,使用模糊逻辑对模型的不确定部分进行近似。引入命令滤波器和误差补偿机制来防止系统阶数过大引起的计算膨胀问题,并使用收敛级数序列来处理模糊逻辑逼近引起的截断误差。基于李雅普诺夫稳定性定理,闭环系统的所有信号都在有限时间间隔0,T上有界,并且系统的输出可以精确地跟踪期望的轨迹。最后,通过MATLAB仿真结果验证了该方法的可行性和有效性。
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Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic
In this paper, the longitudinal model of an uncertain aircraft is taken as the research object, and the aircraft path inclination is controlled by controlling the input rudder deflection angle. An adaptive iterative learning control (AILC) scheme is proposed to solve the accurate tracking control problem of the flight path inclination on a finite time interval. The aircraft track angle system is abstractly modeled to obtain a triangular model in the form of strict feedback. For the abstracted strict feedback model, the fuzzy logic is used to approximate the uncertain part of the model. A command filter and an error compensation mechanism are introduced to prevent the computational bloat problem caused by excessive system order, and a convergent series sequence is used to deal with the truncation error caused by the approximation of the fuzzy logic. Based on the Lyapunov stability theorem, all signals of the closed-loop system are bounded on the finite time interval 0 , T , and the output of the system can track the desired trajectory accurately. Finally, the feasibility and effectiveness of the method are verified by MATLAB simulation results.
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来源期刊
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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