Geometric steady states of nonlinear systems
Loading...
Date
Authors
Xia, Xiaohua
Zhang, Jiangfeng
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Electrical and Electronics Engineers
Abstract
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.
Description
Keywords
Controlled invariance, Output regulation, Steady state, Sylvester equation
Sustainable Development Goals
Citation
Xia, X & Zhang, J 2010, 'Geometric steady states of nonlinear systems', IEEE Transactions on Automatic Control, vol. 55, no. 6, pp. 1448-1454. [http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9]