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基于有限时间输出反馈的线性扩张状态观测器

DOI: 10.16383/j.aas.2015.c140095, PP. 59-66

Keywords: 线性扩张状态观测器,有限时间,输出反馈,有限时间有界,观测误差

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Abstract:

?为快速、准确地观测系统中的未知扰动及状态,提出一种有限时间线性扩张状态观测器(Finite-timelinearextendedstateobserver,FT-LESO),它具有期望的收敛性能且结构简单、易于设计.假设系统的状态无法量测,观测器设计问题转化为扰动下的输出反馈控制问题.针对该问题,提出一种扰动下的有限时间线性输出反馈控制方法,得到控制器参数与闭环系统状态向量2-范数间的解析关系.在此基础上,提出有限时间线性扩张状态观测器,得到观测器参数与观测误差收敛速度及稳态观测误差间的解析关系,给出一充分条件保证观测误差有限时间有界、且能以不低于指数收敛的速度收敛到给定范围内,为观测器参数设计提供理论依据.通过数值仿真验证提出的观测器,仿真结果与理论分析相符,提出的观测器是有效的.

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