Global finite-time stabilisation for a class of stochastic nonlinear systems by output feedback

Lan, Qixun, Li, Shihua, Khoo, Suiyang and Shi, Peng 2015, Global finite-time stabilisation for a class of stochastic nonlinear systems by output feedback, International journal of control, vol. 88, no. 3, pp. 494-506, doi: 10.1080/00207179.2014.962766.

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Title Global finite-time stabilisation for a class of stochastic nonlinear systems by output feedback
Author(s) Lan, Qixun
Li, Shihua
Khoo, Suiyang
Shi, Peng
Journal name International journal of control
Volume number 88
Issue number 3
Start page 494
End page 506
Total pages 13
Publisher Taylor and Francis
Place of publication London, Eng.
Publication date 2015
ISSN 0020-7179
1366-5820
Keyword(s) finite-time stability
homogeneous domination approach
output-feedback stabilisation
stochastic nonlinear systems
Science & Technology
Technology
Automation & Control Systems
STABILITY
DYNAMICS
Summary In this paper, the problem of global finite-time stabilisation by output feedback is considered for a class of stochastic nonlinear systems. First, based on homogeneous systems theory and the adding a power integrator technique, a homogeneous reduced order observer and control law are constructed in a recursive manner for the nominal system. Then, the homogeneous domination approach is used to deal with the nonlinearities in drift and diffusion terms; it is shown that the proposed output-feedback control law can guarantee that the closed-loop system is global finite-time stable in probability. Finally, simulation examples are carried out to demonstrate the effectiveness of the proposed control scheme.
Language eng
DOI 10.1080/00207179.2014.962766
Field of Research 090601 Circuits and Systems
090602 Control Systems, Robotics and Automation
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 ©2014, Taylor & Francis
Persistent URL http://hdl.handle.net/10536/DRO/DU:30072715

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