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Global Finite-Time Stabilization Problem of Affine Nonlinear Systems with Unknown Functions
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  • Fujin Jia,
  • Junwei Lu,
  • Yong-Min Li,
  • Fangyuan Li
Fujin Jia
Nanjing University of Science and Technology
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Junwei Lu
Nanjing Normal University
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Yong-Min Li
Huzhou Teachers College School of Sciences
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Fangyuan Li
Nanjing Vocational College of Information Technology
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Abstract

In this paper, the global finite-time stabilization (FTS) of nonlinear systems with unknown functions (UFs) is studied. Firstly, in order to deal with UFs, a Lemma is proposed to avoid the Assumptions of UFs. Secondly, based on this Lemma, the control algorithm designed by using backstepping has no partial derivative of virtual controllers, so it avoids the “differential explosion” problem of backstepping. Thirdly, by using Lyapunov analysis method, backstepping and FTS method, a global FTS control algorithm of nonlinear systems with UFs is proposed. Finally, the feasibility of developed control approach is illustrated by the simulation results of a manipulator.

Peer review status:UNDER REVIEW

15 Jan 2021Submitted to Mathematical Methods in the Applied Sciences
16 Jan 2021Assigned to Editor
16 Jan 2021Submission Checks Completed
12 May 2021Reviewer(s) Assigned