Geometric Steady States of Nonlinear Systems

被引：2

作者：

Xia, Xiaohua ^{[1
]}

Zhang, Jiangfeng ^{[1
]}

机构：

[1] Univ Pretoria, Dept Elect Elect & Comp Engn, ZA-0002 Pretoria, South Africa

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Attractiveness; controlled invariance; output regulation; steady state; Sylvester equation; OUTPUT REGULATION; SOLVABILITY;

D O I：

10.1109/TAC.2010.2044261

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The analytic concept of steady states for nonlinear systems was introduced by Isidori and Byrnes, and its geometric properties were also given implicitly mixed with the solvability of the output regulation problem for nonlinear systems with neutrally stable exogenous signals. In this technical note, a geometric definition of steady states for nonlinear systems, which is named as geometric steady state, is formulated independent of the output regulation problem so that it can be applied to many problems other than output regulation and the exogenous system can be unstable too. Some sufficient conditions for the existence of geometric steady states and a practical application in robotics are also provided.

引用

页码：1448 / 1454

页数：7

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