Robust observer design for Lipschitz nonlinear systems using quadratic polynomial constraints. Wang, Y. & Bevly, D. M. In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pages 6621–6626, December, 2012. ISSN: 0743-1546![Robust observer design for Lipschitz nonlinear systems using quadratic polynomial constraints [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex This paper discusses the observer design for the uncertain Lipschitz nonlinear systems. A new stability analysis method for the Lure problem is first presented. Then, a nonlinear observer is proposed so that the observer error dynamic model can be transformed to an equivalent Lure system in which the input-output relationship of the nonlinear memoryless block is belong to the semi-algebraic set defined by several quadratic polynomial constraints. A sufficient condition for the exponential stability of the observer error dynamics is formulated in terms of the feasibility of linear matrix inequalities (LMIs).
@inproceedings{wang_robust_2012,
title = {Robust observer design for {Lipschitz} nonlinear systems using quadratic polynomial constraints},
url = {https://ieeexplore.ieee.org/abstract/document/6426517},
doi = {10.1109/CDC.2012.6426517},
abstract = {This paper discusses the observer design for the uncertain Lipschitz nonlinear systems. A new stability analysis method for the Lure problem is first presented. Then, a nonlinear observer is proposed so that the observer error dynamic model can be transformed to an equivalent Lure system in which the input-output relationship of the nonlinear memoryless block is belong to the semi-algebraic set defined by several quadratic polynomial constraints. A sufficient condition for the exponential stability of the observer error dynamics is formulated in terms of the feasibility of linear matrix inequalities (LMIs).},
urldate = {2024-06-20},
booktitle = {2012 {IEEE} 51st {IEEE} {Conference} on {Decision} and {Control} ({CDC})},
author = {Wang, Yan and Bevly, David M.},
month = dec,
year = {2012},
note = {ISSN: 0743-1546},
keywords = {Asymptotic stability, Mathematical model, Observers, Polynomials, Stability criteria, Vectors},
pages = {6621--6626},
}
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