Continuous finite-time state feedback stabilizers for some nonlinear stochastic systems

Yin, J. and Khoo, S. 2015, Continuous finite-time state feedback stabilizers for some nonlinear stochastic systems, International journal of robust and nonlinear control, vol. 25, no. 11, pp. 1581-1600, doi: 10.1002/rnc.3161.

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Title Continuous finite-time state feedback stabilizers for some nonlinear stochastic systems
Author(s) Yin, J.
Khoo, S.
Journal name International journal of robust and nonlinear control
Volume number 25
Issue number 11
Start page 1581
End page 1600
Total pages 20
Publisher Wiley-Blackwell
Place of publication London, Eng.
Publication date 2015-07-25
ISSN 1049-8923
Keyword(s) Adding a power integrator
Finite-time stabilization
State feedback controllers
Stochastic Lyapunov stability
Stochastic nonlinear systems
Summary This paper is concerned with the problem of finite-time stabilization for some nonlinear stochastic systems. Based on the stochastic Lyapunov theorem on finite-time stability that has been established by the authors in the paper, it is proven that Euler-type stochastic nonlinear systems can be finite-time stabilized via a family of continuous feedback controllers. Using the technique of adding a power integrator, a continuous, global state feedback controller is constructed to stabilize in finite time a large class of two-dimensional lower-triangular stochastic nonlinear systems. Also, for a class of three-dimensional lower-triangular stochastic nonlinear systems, a recursive design scheme of finite-time stabilization is given by developing the technique of adding a power integrator and constructing a continuous feedback controller. Finally, a simulation example is given to illustrate the theoretical results. © 2014 John Wiley & Sons, Ltd.
Language eng
DOI 10.1002/rnc.3161
Field of Research 010204 Dynamical Systems in Applications
090602 Control Systems, Robotics and Automation
091302 Automation and Control Engineering
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2015, Wiley-Blackwell
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Document type: Journal Article
Collection: School of Engineering
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