@inproceedings{5cd8251b9dee48e0ae45b172d25d1059,
title = "Adaptive asymptotic stabilization for stochastic nonlinear systems with dynamic uncertainties",
abstract = "In this paper, the problem of adaptive stabilization is investigated for stochastic nonlinear systems with three types of uncertainties: parametric uncertainties, uncertain nonlinearities and unmodeled dynamics. Under the assumption that the unmodeled dynamics are stochastic input-to-state stable, for the general smooth systems in which both drift and diffusion vector fields depend on not only the output but also the unmodeled dynamics, an adaptive output-feedback controller is constructively designed by the methods of adaptive backstepping with tuning function and changing the supply function. It is shown that under mild conditions, the closed-loop system is bounded in probability and moreover, the output can be regulated to the origin almost surely when the drift and diffusion vector fields vanish at the origin.",
keywords = "Adaptive control, Stochastic input-to-state stable (SISS), Unmodeled dynamics",
author = "Liu, {Shu Jun} and Zhang, {Ji Feng} and Jiang, {Zhong Ping}",
year = "2006",
doi = "10.1109/CHICC.2006.280918",
language = "English (US)",
isbn = "7810778021",
series = "2006 Chinese Control Conference Proceedings, CCC 2006",
publisher = "IEEE Computer Society",
pages = "2064--2069",
booktitle = "2006 Chinese Control Conference Proceedings, CCC 2006",
note = "25th Chinese Control Conference, CCC 2006 ; Conference date: 07-08-2006 Through 11-08-2006",
}