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|Title:||Global finite-time stabilisation for a class of stochastic nonlinear systems by output feedback|
|Citation:||International Journal of Control, 2015; 88(3):494-506|
|Publisher:||Taylor and Francis|
|Qixun Lan, Shihua Li, Suiyang Khoo and Peng Shi|
|Abstract:||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.|
|Keywords:||Stochastic nonlinear systems; finite-time stability; homogeneous domination approach; output-feedback stabilisation|
|Rights:||© 2014 Taylor & Francis|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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