@inproceedings{d67277c27735474aacf89111537ddd0e,
title = "Making Nonlinear Systems Negative Imaginary via State Feedback",
abstract = "This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) systems. Conditions are provided under which a nonlinear system can be made a nonlinear NI system or a nonlinear output strictly negative imaginary (OSNI) system. Roughly speaking, an affine nonlinear system that has a normal form with relative degree less than or equal to two, after possible output transformation, can be rendered nonlinear NI and nonlinear OSNI. In addition, if the internal dynamics of the normal form are input-to-state stable, then there exists a state feedback input that stabilizes the system. This stabilization result is then extended to achieve stability for systems with a nonlinear NI uncertainty.",
keywords = "nonlinear negative imaginary systems, nonlinear output strictly negative imaginary systems, robust control, state feedback stabilization",
author = "Kanghong Shi and Petersen, \{Ian R.\} and Vladimirov, \{Igor G.\}",
note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 61st IEEE Conference on Decision and Control, CDC 2022 ; Conference date: 06-12-2022 Through 09-12-2022",
year = "2022",
doi = "10.1109/CDC51059.2022.9992573",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3827--3832",
booktitle = "2022 IEEE 61st Conference on Decision and Control, CDC 2022",
address = "United States",
}