Title :
A new stability result for the feedback interconnection of negative imaginary systems with a pole at the origin
Author :
Mabrok, Mohamed A. ; Kallapur, Abhijit G. ; Petersen, Ian R. ; Lanzon, Alexander
Author_Institution :
School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy Canberra ACT 2600, Australia
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 :
Force; Frequency response; Nickel; Numerical stability; Stability analysis; Transfer functions; USA Councils;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL, USA
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160738
