Global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state

Guangqi Li, Yan Lin and Xu Zhang

International Journal of Systems Science, 2017, vol. 48, issue 5, 921-929

Abstract: In this paper, we aim at addressing the problem of global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state. The nonlinear functions of the system are bounded by both low-order and high-order terms multiplied by a polynomial-type incremental rate. With the combination of homogeneous domination approach and sector bound approach, a quantised controller computed from quantised state is constructed and a guideline is derived for selecting the parameters of the quantisers. Further, it is proved that, with the proposed scheme, the closed-loop system is globally asymptotically stable.

Date: 2017
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DOI: 10.1080/00207721.2016.1197981

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