Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems

Wei Hu, Zhangyong Zhou, Junjun Tang and Xiaodi Li

Complexity, 2021, vol. 2021, 1-8

Abstract: Since existing results about fixed-time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed-time stabilization of more general high-order nonlinear systems. Based on a novel concept named coordinate mapping of time domain, a control method is first proposed to transform the nonsingular fixed-time convergence problem into the finite-time convergence problem of a transformed time-varying system. By extending the existing, adding a power integrator technique into the considered time-varying system, a periodic controller is constructed to stabilize the original system in fixed time. The results of simulations verify the effectiveness of the proposed method.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9933472

DOI: 10.1155/2021/9933472

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