Global finite-time stabilization for a class of stochastic nonlinear systems by dynamic state feedback

Weiqing Ai; Junyong Zhai; Shumin Fei

Kybernetika (2013)

  • Volume: 49, Issue: 4, page 590-600
  • ISSN: 0023-5954

Abstract

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This paper addresses the problem of global finite-time stabilization by dynamic state feedback for a class of stochastic nonlinear systems. Firstly, we show a dynamic state transformation, under which the original system is transformed into a new system. Then, a state feedback controller with a dynamic gain is designed for the new system. It is shown that global finite-time stabilization in probability for a class of stochastic nonlinear system under linear growth condition can be guaranteed by appropriately choosing design parameters. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed design scheme.

How to cite

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Ai, Weiqing, Zhai, Junyong, and Fei, Shumin. "Global finite-time stabilization for a class of stochastic nonlinear systems by dynamic state feedback." Kybernetika 49.4 (2013): 590-600. <http://eudml.org/doc/260591>.

@article{Ai2013,
abstract = {This paper addresses the problem of global finite-time stabilization by dynamic state feedback for a class of stochastic nonlinear systems. Firstly, we show a dynamic state transformation, under which the original system is transformed into a new system. Then, a state feedback controller with a dynamic gain is designed for the new system. It is shown that global finite-time stabilization in probability for a class of stochastic nonlinear system under linear growth condition can be guaranteed by appropriately choosing design parameters. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed design scheme.},
author = {Ai, Weiqing, Zhai, Junyong, Fei, Shumin},
journal = {Kybernetika},
keywords = {stochastic nonlinear systems; dynamic state transformation; finite-time stabilization; stochastic nonlinear systems; dynamic state transformation; finite-time stabilization},
language = {eng},
number = {4},
pages = {590-600},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Global finite-time stabilization for a class of stochastic nonlinear systems by dynamic state feedback},
url = {http://eudml.org/doc/260591},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Ai, Weiqing
AU - Zhai, Junyong
AU - Fei, Shumin
TI - Global finite-time stabilization for a class of stochastic nonlinear systems by dynamic state feedback
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 4
SP - 590
EP - 600
AB - This paper addresses the problem of global finite-time stabilization by dynamic state feedback for a class of stochastic nonlinear systems. Firstly, we show a dynamic state transformation, under which the original system is transformed into a new system. Then, a state feedback controller with a dynamic gain is designed for the new system. It is shown that global finite-time stabilization in probability for a class of stochastic nonlinear system under linear growth condition can be guaranteed by appropriately choosing design parameters. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed design scheme.
LA - eng
KW - stochastic nonlinear systems; dynamic state transformation; finite-time stabilization; stochastic nonlinear systems; dynamic state transformation; finite-time stabilization
UR - http://eudml.org/doc/260591
ER -

References

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