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Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems

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  • Wei Hu
  • Zhangyong Zhou
  • Junjun Tang
  • Xiaodi Li

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.

Suggested Citation

  • Wei Hu & Zhangyong Zhou & Junjun Tang & Xiaodi Li, 2021. "Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems," Complexity, Hindawi, vol. 2021, pages 1-8, June.
    • Handle: RePEc:hin:complx:9933472
    DOI: 10.1155/2021/9933472
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