Global output feedback stabilisation of high-order nonlinear systems with multiple time-varying delays

Fangzheng Gao, Yuqiang Wu and Fushun Yuan

International Journal of Systems Science, 2016, vol. 47, issue 10, 2382-2392

Abstract: This paper investigates the problem of global output feedback stabilisation for a class of high-order nonlinear systems with multiple time-varying delays. By using backstepping recursive technique and the homogeneous domination approach, a continuous output feedback controller is successfully designed, and the global asymptotic stability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov– Krasovskii functional. Two simulation examples are given to illustrate the effectiveness of the proposed approach.

Date: 2016
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DOI: 10.1080/00207721.2014.998318

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