A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin
Optimization and Control
2016-11-17 v1 Systems and Control
Abstract
This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is derived, which remains true even if the transfer function has poles on the imaginary axis including the origin. A sufficient condition for the internal stability of a feedback interconnection for NI systems including a pole at the origin is given and an illustrative example is presented to support the result.
Keywords
Cite
@article{arxiv.1107.4255,
title = {A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin},
author = {Mohamed A. Mabrok and Abhijit G. Kallapur and Ian R. Petersen and Alexander Lanzon},
journal= {arXiv preprint arXiv:1107.4255},
year = {2016}
}
Comments
50th IEEE Conference on Decision and Control and European Control Conference