Disturbance attenuation with fast global finite-time convergence for generalized high-order uncertain nonlinear systems

Zong Yao Sun, Min Wang, Chih Chiang Chen, Qinghua Meng

Research output: Contribution to journalArticle

Abstract

This paper focuses on the problem of disturbance attenuation with fast global finite-time convergence (FTC) for a class of generalized high-order uncertain nonlinear systems. Combining the fast finite-time stabilization technique with a delicate manipulation of sign functions, a new control approach is proposed to attenuate the serious uncertainties substantially, including time-varying control coefficients, nonlinear parameters, and external disturbances, while achieving the performance evaluated in terms of L2-L2p gain. A notable feature of the control strategy is the fast FTC, which greatly shortens the convergent time when the initial state is far away from the origin. A numerical example is provided to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)824-841
Number of pages18
JournalInternational Journal of Robust and Nonlinear Control
Volume30
Issue number2
DOIs
Publication statusAccepted/In press - 2019 Jan 1

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Nonlinear systems
Stabilization
Uncertainty

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper focuses on the problem of disturbance attenuation with fast global finite-time convergence (FTC) for a class of generalized high-order uncertain nonlinear systems. Combining the fast finite-time stabilization technique with a delicate manipulation of sign functions, a new control approach is proposed to attenuate the serious uncertainties substantially, including time-varying control coefficients, nonlinear parameters, and external disturbances, while achieving the performance evaluated in terms of L2-L2p gain. A notable feature of the control strategy is the fast FTC, which greatly shortens the convergent time when the initial state is far away from the origin. A numerical example is provided to demonstrate the effectiveness of the proposed method.",
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Disturbance attenuation with fast global finite-time convergence for generalized high-order uncertain nonlinear systems. / Sun, Zong Yao; Wang, Min; Chen, Chih Chiang; Meng, Qinghua.

In: International Journal of Robust and Nonlinear Control, Vol. 30, No. 2, 25.01.2020, p. 824-841.

Research output: Contribution to journalArticle

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