@inproceedings{d3171bbb7d284e819823ccf4437b5239,
title = "Stabilization of uncertain negative-imaginary systems via state-feedback control",
abstract = "The controller synthesis problem of uncertain negative-imaginary systems has important engineering applications in, for example, lightly damped flexible structures with colocated position sensors and force actuators. This paper provides a systematic controller synthesis procedure via an LMI approach to construct a state-feedback internally stabilizing controller such that the nominal closed-loop system satisfies negative-imaginary properties and a DC gain condition. As a result of this, the closed-loop system can then be guaranteed to be robustly stable against uncertainties that are stable strictly negative-imaginary (e.g. unmodeled spill-over dynamics in a lightly damped flexible structure). An numerical example is given to show the usefulness of the proposed results.",
keywords = "Bounded real, H control, Lightly damped systems, Negative-imaginary systems, Passivity, Positive real, Small-gain theorem",
author = "Petersen, {Ian R.} and Alexander Lanzon and Zhuoyue Song",
note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 2009 10th European Control Conference, ECC 2009 ; Conference date: 23-08-2009 Through 26-08-2009",
year = "2014",
month = mar,
day = "26",
doi = "10.23919/ecc.2009.7074636",
language = "English",
series = "2009 European Control Conference, ECC 2009",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1605--1609",
booktitle = "2009 European Control Conference, ECC 2009",
address = "United States",
}