@inproceedings{e658e43221ab48a0b3242086f33f6edc,
title = "Invariant sets via LPV-embedding for Lure nonlinear systems with unmatched nonlinearities",
abstract = "We derive sufficient conditions for the existence of invariant sets for Lure nonlinear systems where the nonlinearity is not matched with the control input. The sector bounded non-linearity is represented as a time-varying parameterised linear function with bounded parameter variations, and the invariant sets are computed by embedding the nonlinear system into a convex polytopic LPV system. We show that the 'matching' condition for the nonlinearity can be relaxed for the case when the matrices associated with the nonlinearity satisfy a special relation. An example of a flexible manipulator is provided to illustrate the results.",
author = "Hanafi, {Ainain Nur} and Seron, {Maria M.} and {De Dona}, {Jos{\'e} A.} and Jesse Cranney",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 1st Australian and New Zealand Control Conference, ANZCC 2017 ; Conference date: 17-12-2017 Through 20-12-2017",
year = "2017",
month = jul,
day = "2",
doi = "10.1109/ANZCC.2017.8298439",
language = "English",
series = "2017 Australian and New Zealand Control Conference, ANZCC 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "29--34",
booktitle = "2017 Australian and New Zealand Control Conference, ANZCC 2017",
address = "United States",
}