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一种火箭型无人机的动力学建模与非线性姿态控制器设计

Dynamics modeling and nonlinear attitude controller design for a rocket-type unmanned aerial vehicle.

作者信息

Chih Chao-Hsien, Li Yang-Rui, Peng Chao-Chung

机构信息

Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, 701, Taiwan.

Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, 701, Taiwan.

出版信息

ISA Trans. 2024 Sep;152:15-27. doi: 10.1016/j.isatra.2024.06.029. Epub 2024 Jul 6.

Abstract

This paper presents an altitude and attitude control system for a newly designed rocket-type unmanned aerial vehicle (UAV) propelled by a gimbal-based coaxial rotor system (GCRS) enabling thrust vector control (TVC). The GCRS is the only means of actuation available to control the UAV's orientation, and the flight dynamics identify the primary control difficulty as the highly nonlinear and tightly coupled control distribution problem. To address this, the study presents detailed derivations of attitude flight dynamics and a control strategy to track the desired attitude trajectory. First, a Proportional-Integral-Derivative (PID) control algorithm is developed based on the formulation of linear matrix inequality (LMI) to ensure robust stability and performance. Second, an optimization algorithm using the Levenberg-Marquardt (LM) method is introduced to solve the nonlinear inverse mapping problem between the control law and the actual actuator outputs, addressing the nonlinear coupled control input distribution problem of the GCRS. In summary, the main contribution is the proposal of a new TVC UAV system based on GCRS. The PID control algorithm and LM algorithm were designed to solve the distribution problem of the actuation model and confirm altitude and attitude tracking missions. Finally, to validate the flight properties of the rocket-type UAV and the performance of the proposed control algorithm, several numerical simulations were conducted. The results indicate that the tightly coupled control input nonlinear inverse problem was successfully solved, and the proposed control algorithm achieved effective attitude stabilization even in the presence of disturbances.

摘要

本文提出了一种用于新设计的火箭式无人机(UAV)的高度和姿态控制系统,该无人机由基于万向节的同轴旋翼系统(GCRS)推进,实现推力矢量控制(TVC)。GCRS是控制无人机方向的唯一可用驱动方式,而飞行动力学将主要控制难点确定为高度非线性且紧密耦合的控制分配问题。为解决此问题,该研究给出了姿态飞行动力学的详细推导以及跟踪期望姿态轨迹的控制策略。首先,基于线性矩阵不等式(LMI)的公式开发了比例积分微分(PID)控制算法,以确保鲁棒稳定性和性能。其次,引入了使用列文伯格-马夸特(LM)方法的优化算法,以解决控制律与实际执行器输出之间的非线性逆映射问题,解决GCRS的非线性耦合控制输入分配问题。总之,主要贡献是提出了一种基于GCRS的新型TVC无人机系统。设计PID控制算法和LM算法以解决驱动模型的分配问题,并确认高度和姿态跟踪任务。最后,为验证火箭式无人机的飞行特性和所提出控制算法的性能,进行了若干数值模拟。结果表明,成功解决了紧密耦合控制输入非线性逆问题,所提出的控制算法即使在存在干扰的情况下也能实现有效的姿态稳定。

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