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

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  • Guangqi Li
  • Yan Lin
  • Xu Zhang

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.

Suggested Citation

  • Guangqi Li & Yan Lin & Xu Zhang, 2017. "Global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(5), pages 921-929, April.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:921-929
    DOI: 10.1080/00207721.2016.1197981
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    Cited by:

    1. Yuan, Manman & Zhai, Junyong & Ye, Hui, 2022. "Adaptive output feedback control for a class of switched stochastic nonlinear systems via an event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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