一类前馈非线性系统的输出反馈半全局镇定

刘梦良,刘允刚,张健

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (12) : 1486-1495.

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PDF(392 KB)
系统科学与数学 ›› 2014, Vol. 34 ›› Issue (12) : 1486-1495. DOI: 10.12341/jssms12485
论文

一类前馈非线性系统的输出反馈半全局镇定

    刘梦良1,刘允刚1,张健2
作者信息 +

SEMIGLOBAL OUTPUT-FEEDBACK STABILIZATION FOR A CLASS OF FEEDFORWARD NONLINEAR SYSTEMS

    LIU Mengliang 1, LIU Yungang1 ,ZHANG Jian2
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文章历史 +

摘要

研究一类前馈非线性系统的输出反馈半全局镇定问题. 值得指出的是, 文章研究的系统不可测状态依赖增长包含线性和高阶两部分, 融合并推广了 许多现有文献中的增长条件. 文章基于线性低增益观测器, 利用输出反馈占优方法, 构造了 结构简单且易于实现的线性输出反馈控制器. 通过适当地选取设计参数, 可以保证闭环系统 零解是局部指数稳定的, 且从给定包含原点的紧子集出发的解最终趋向于零. 仿真算例验证了文章结果的有效性.

Abstract

This paper considers the semiglobal output-feedback stabilization for a class of feedforward nonlinear systems. Notably, the systems under investigation possess unmeasurable states dependent growth including linear and higher-order parts, which incorporate and extend those in the existing many literature. Based on a linear lower-gain observer, a linear output feedback controller is constructed by output-feedback domination approach, which is structurally simple and easy to implement. By appropriately choosing the design parameter, it can be guaranteed that the zero solution of resulting closed-loop system is locally exponentially stable, and by starting from the given compact set containing the origin, all the solutions of the closed-loop system converge to the origin. A numerical example is provided to illustrate the effectiveness of the theoretical results.

关键词

前馈非线性系统 / 半全局镇定 / 输出反馈.

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刘梦良 , 刘允刚 , 张健. 一类前馈非线性系统的输出反馈半全局镇定. 系统科学与数学, 2014, 34(12): 1486-1495. https://doi.org/10.12341/jssms12485
LIU Mengliang , LIU Yungang , ZHANG Jian. SEMIGLOBAL OUTPUT-FEEDBACK STABILIZATION FOR A CLASS OF FEEDFORWARD NONLINEAR SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2014, 34(12): 1486-1495 https://doi.org/10.12341/jssms12485
中图分类号: 93D15    93B51   
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