A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin

Details A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin

2011-07-21

arxiv.org/abs/1107.4255v1

Mathematics

Optimization and Control

50th IEEE Conference on Decision and Control and European Control Conference

Scientific paper

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.

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