Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems

Qixun Lan; Huawei Niu; Yamei Liu; Huafeng Xu

Kybernetika (2017)

  • Volume: 53, Issue: 5, page 780-802
  • ISSN: 0023-5954

Abstract

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In this paper, the problem of global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear cascaded systems (SNCSs). First, based on the adding a power integrator technique and the homogeneous domination approach, a global output-feedback finite-time control law is constructed for the driving subsystem. Then, based on homogeneous systems theory, it is shown that under some mild conditions the global finite- time stability in probability of the driving subsystem implies the global finite-time stability in probability of the whole SNCS. Finally, a simulation example is given to illustrate the effectiveness of the proposed control design approach.

How to cite

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Lan, Qixun, et al. "Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems." Kybernetika 53.5 (2017): 780-802. <http://eudml.org/doc/294651>.

@article{Lan2017,
abstract = {In this paper, the problem of global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear cascaded systems (SNCSs). First, based on the adding a power integrator technique and the homogeneous domination approach, a global output-feedback finite-time control law is constructed for the driving subsystem. Then, based on homogeneous systems theory, it is shown that under some mild conditions the global finite- time stability in probability of the driving subsystem implies the global finite-time stability in probability of the whole SNCS. Finally, a simulation example is given to illustrate the effectiveness of the proposed control design approach.},
author = {Lan, Qixun, Niu, Huawei, Liu, Yamei, Xu, Huafeng},
journal = {Kybernetika},
keywords = {stochastic nonlinear systems; cascaded systems; output-feedback stabilization; finite-time control},
language = {eng},
number = {5},
pages = {780-802},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems},
url = {http://eudml.org/doc/294651},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Lan, Qixun
AU - Niu, Huawei
AU - Liu, Yamei
AU - Xu, Huafeng
TI - Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 5
SP - 780
EP - 802
AB - In this paper, the problem of global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear cascaded systems (SNCSs). First, based on the adding a power integrator technique and the homogeneous domination approach, a global output-feedback finite-time control law is constructed for the driving subsystem. Then, based on homogeneous systems theory, it is shown that under some mild conditions the global finite- time stability in probability of the driving subsystem implies the global finite-time stability in probability of the whole SNCS. Finally, a simulation example is given to illustrate the effectiveness of the proposed control design approach.
LA - eng
KW - stochastic nonlinear systems; cascaded systems; output-feedback stabilization; finite-time control
UR - http://eudml.org/doc/294651
ER -

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