article · SIAM Journal on Control and Optimization · 1989

Nonlinear Observer Design by Observer Error Linearization

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Abstract

This paper studies the observer design problem by the observer error linearization approach for nonlinear systems with and without inputs. Necessary and sufficient conditions for the existence of the linearization transformation are derived. For nonlinear systems without inputs, the conditions are shown to be corrections to an existing result. A computation procedure and a different set of necessary and sufficient conditions based on the computation procedure are presented.

Cite this paper

APA 7

Xia, X., & Gao, W.-B. (1989). Nonlinear Observer Design by Observer Error Linearization. SIAM Journal on Control and Optimization, 27(1), 199–216. https://doi.org/10.1137/0327011

MLA 9

Xia, Xiaohua, and Wei-Bin Gao. “Nonlinear Observer Design by Observer Error Linearization.” SIAM Journal on Control and Optimization, vol. 27, no. 1, 1989, pp. 199–216, https://doi.org/10.1137/0327011.

Chicago

Xia, Xiaohua, and Wei-Bin Gao. 1989. “Nonlinear Observer Design by Observer Error Linearization.” SIAM Journal on Control and Optimization 27 (1): 199–216. https://doi.org/10.1137/0327011.

Harvard

Xia, X. and Gao, W.-B. (1989) ‘Nonlinear Observer Design by Observer Error Linearization’, SIAM Journal on Control and Optimization, 27(1), pp. 199–216. Available at: https://doi.org/10.1137/0327011.

BibTeX

@article{xia1989nonlinear,
  title = {{Nonlinear Observer Design by Observer Error Linearization}},
  author = {Xia, Xiaohua and Gao, Wei-Bin},
  journal = {SIAM Journal on Control and Optimization},
  volume = {27},
  number = {1},
  pages = {199--216},
  year = {1989},
  doi = {10.1137/0327011}
}

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