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A time-scale transformation approach to prescribed-time stabilisation of non-holonomic systems with inputs quantisation

Fangzheng Gao, Jiacai Huang, Yuqiang Wu and Xianlin Zhao

International Journal of Systems Science, 2022, vol. 53, issue 8, 1796-1808

Abstract: This article addresses the problem of global stabilisation using state feedback for a kind of uncertain non-holonomic systems in chained form. Two distinct characteristics of this study are that the considered system suffers from the input-quantised actuator, and the system states are expected to converge to zero in prescribed finite time. To address these, a time-scale transformation, that can change the original stabilisation into the finite-time stabilisation of the transformed one, is first introduced. Then, under the new framework of equivalent transformation, a quantised state feedback controller that achieves of the performance requirements is developed with the aid of the recursive technique. Finally, simulation results of a unicycle-type mobile robot are provided to confirm the efficacy of the proposed approach.

Date: 2022
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DOI: 10.1080/00207721.2021.2024296

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