Nonlinear relative position control of precise formation flying using polynomial eigenstructure assignment

Feng Wang; XueQin Chen; Antonios Tsourdos; Brian A. White; YunHua Wu

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Nonlinear relative position control of precise formation flying using polynomial eigenstructure assignment

机译：多项式本征结构分配的精确编队飞行非线性相对位置控制

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摘要

A nonlinear relative position control algorithm is designed for spacecraft precise formation flying. Taking into account the effect of J_2 gravitational perturbations and atmospheric drag, the relative motion dynamic equation of the formation flying is developed in a quasi-linear parameter-varying (QLPV) form without approximation. Base on this QLPV model, polynomial eigenstructure assignment (PEA) is applied to design the controller. The resulting PEA controller is a function of system state and parameters, and produces a closed-loop system with invariant performance over a wide range of conditions. Numerical simulation results show that the performance can fulfill precise formation flying requirements.

机译：设计了一种非线性相对位置控制算法，用于航天器的精确编队飞行。考虑到J_2引力扰动和大气阻力的影响，地层飞行的相对运动动力学方程以近似线性的参数线性变化（QLPV）形式建立。基于此QLPV模型，应用多项式本征结构分配（PEA）来设计控制器。最终的PEA控制器是系统状态和参数的函数，并产生在各种条件下性能不变的闭环系统。数值模拟结果表明，该性能能够满足精确的编队飞行要求。

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来源
《Acta astronautica》 |2011年第12期|p.1830-1838|共9页
作者
Feng Wang; XueQin Chen; Antonios Tsourdos; Brian A. White; YunHua Wu;
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作者单位

Harbin Institute of Technology, Heilongjiang 150001, China,Cranfield University, Shrivenham, Swindon SN6 8LA, United Kingdom;

Harbin Institute of Technology, Heilongjiang 150001, China;

Cranfield University, Shrivenham, Swindon SN6 8LA, United Kingdom;

Cranfield University, Shrivenham, Swindon SN6 8LA, United Kingdom;

Surrey Space Centre, University of Surrey, Cuildford GU2 7XH, United Kingdom;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
precise formation flying; polynomial eigenstructure assignment; quasi-linear parameter-varying; nonlinear control;

机译：精确编队飞行多项式本征结构分配准线性参数变化非线性控制;

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专利

1. Relative position and attitude coupling control of Sun-Earth L_2 point formation flying by QLTV polynomial eigenstructure assignment [J] . F Wang, A Tsourdos, B A White, Proceedings of the Institution of Mechanical Engineers . 2012,第G7期

机译：QLTV多项式本征结构分配控制的日地L_2点编队飞行相对位置和姿态耦合
2. Nonlinear suboptimal synchronized control for relative position and relative attitude tracking of spacecraft formation flying [J] . Wu Jinjie, Han Dapeng, Liu Kun, Journal of the Franklin Institute . 2015,第4期

机译：航天器编队飞行相对位置和相对姿态跟踪的非线性次优同步控制
3. GPS Precise Relative Positioning of Formation Flying Satellites [J] . Michelangelo Ambrosini Space times . 2016,第5期

机译：GPS编队飞行卫星的精确相对定位
4. LPV Polynomial Eigenstructure Assignment for Formation Flying Control Around Sun- Earth L2 Point [C] . F. Ke, A. Tsourdos, B. White AIAA Guidance, Navigation, and Control Conference and Exhibit;AIAA Atmospheric Flight Mechanics Conference;AIAA Modeling and Simulation Technologies Conference . 2009

机译：LPV多项式本征结构分配，用于围绕地球L2点的编队飞行控制
5. Precise GPS relative navigation for future geodetic satellite formation flying missions. [D] . Tsoi, Raymond. 2007

机译：精确的GPS相对导航，可用于未来的大地卫星编队飞行任务。
6. GNSS Precise Relative Positioning Using A Priori Relative Position in a GNSS Harsh Environment [O] . Euiho Kim 2021

机译：GNSS在GNSS恶劣环境中使用先验的相对位置确切地定位
7. Comparison of Relative Position Control for Precise Formation Flying [O] . Shoji YOSHIKAWA, Takeya SHIMA, Katsuhiko YAMADA 2010

机译：精密地层飞行相对位置控制的比较
8. Modeling Relative Position Relative Velocity and Range Rate for Formation Flying [R] . McLaughlin, C. A. , Sabol, C. , Swank, A. , 2002

机译：编队飞行的相对位置相对速度和距离率建模

Nonlinear relative position control of precise formation flying using polynomial eigenstructure assignment

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