Global state feedback stabilisation of stochastic high-order nonlinear systems with high-order and low-order nonlinearities

Fangzheng Gao, Yuqiang Wu and Xin Yu

International Journal of Systems Science, 2016, vol. 47, issue 16, 3846-3856

Abstract: In this paper, the problem of global stabilisation by state feedback is investigated for a class of stochastic high-order nonlinear systems with both high-order and low-order nonlinearities, to which the existing control methods are inapplicable. Based on the generalised stochastic Lyapunov theorem, and by skillfully using the method of adding a power integrator, a continuous state feedback controller is successfully constructed, which can guarantee the global asymptotic stability in probability of the resulting closed-loop system in the sense of weak solution, and also is able to lead to an interesting result of finite-time stabilisation under appropriate conditions. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed approach.

Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1080/00207721.2015.1129678

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