Kybernetika 53 no. 5, 780-802, 2017

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

Qixun Lan, Huawei Niu, Yamei Liu and Huafeng XuDOI: 10.14736/kyb-2017-5-0780

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.

Keywords:

stochastic nonlinear systems, finite-time control, cascaded systems, output-feedback stabilization

Classification:

68M15, 39A13

paper.pdf

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