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传感器时滞航天器椭圆轨道交会有限时间输出反馈控制设计OA

Finite-time Output Feedback Control Design for Elliptical-orbit Spacecraft Rendezvous with Sensor Delays

中文摘要英文摘要

本文研究具有传感器时滞的航天器椭圆轨道交会系统有限时间输出反馈控制设计问题.首先,选择真近点角为自变量,通过可逆线性变换将复杂的线性时变系统简化为线性周期系统.在此基础上,引入一阶双曲型偏微分方程,将输出时滞周期系统转化为无时滞的常微分方程-偏微分方程级联系统.其次,充分利用参数Lyapunov方程的解性质,设计一种线性时变观测器以实现系统状态的估计.进而,提出基于观测器的周期时滞反馈控制策略,确保航天器椭圆轨道交会任务在有限时间内顺利完成.最后,通过实际算例验证所提控制设计方法的有效性与实用性.

This paper investigates the finite-time output feedback control design problem for space-craft elliptical orbital rendezvous systems with sensor delays.First,the true anomaly is selected as the independent variable,and a complex linear time-varying system is simplified into a linear periodic system via an invertible linear transformation.On this basis,a first-order hyperbolic partial differential equation is introduced to transform the periodic system with sensor delays into a delay-free ordinary differential equation-partial differential equation cascade system.Next,by fully exploiting the properties of solutions to the parametric Lyapunov equation,a linear time-varying observer is designed to estimate the system states.Furthermore,an observer-based periodic delayed feedback control strategy is proposed to achieve the spacecraft elliptical orbital rendezvous within a finite time.Finally,a numerical example is provided to verify the effectiveness and practicality of the proposed control design method.

高翔宇;钟泽锋;谢玮玮;赵刚毅

广西师范大学数学与统计学院,广西 桂林 541004广西师范大学数学与统计学院,广西 桂林 541004广西师范大学数学与统计学院,广西 桂林 541004||广西物流职业技术学院,广西贵港 537100广西师范大学数学与统计学院,广西 桂林 541004

数理科学

航天器交会传感器时滞周期时滞反馈控制有限时间

Spacecraft rendezvousSensor delayPeriodic delay feedback controlFinite-time

《应用数学》 2026 (3)

665-674,10

广西自然科学基金(2023GXNSFAA026246)中央引导地方科技发展资金项目(GuikeZY23055044)国家自然科学基金(62363003)广西研究生教育创新项目(XYCSR2024074)

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