Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 88, Issue 3, Pages 494-506Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2014.962766
Keywords
finite-time stability; output-feedback stabilisation; homogeneous domination approach; stochastic nonlinear systems
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Funding
- Natural Science Foundation of China [61473080]
- Science Foundation for Distinguished Young Scholars of Jiangsu Province [BK20130018]
- High-level Talents Program in Six Industries of Jiangsu Province [DZXX-30]
- Scientific Research Foundation of Graduate School of Southeast University [YBJJ1332]
- Australian Research Council [DP140102180]
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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.
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