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A novel adaptive finite-time control method for a class of uncertain nonlinear systems

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Abstract

This paper presents a novel adaptive finite-time control (AFTC) method for a class of uncertain nonlinear systems. First, a new nonsingular terminal sliding mode surface is proposed. Then an adaptive finite-time controller with proper adaptive laws is designed to guarantee the occurrence of the sliding motion in finite time without prior knowledge of the upper bounds of the uncertainties and external disturbances. The globally finite-time stability of the closed-loop system is analytically proven. The numerical simulation results are presented to illustrate the effectiveness of the proposed method.

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Abbreviations

AFTC:

Adaptive Finite-time Control

SMC:

Sliding Mode Control

TSM:

Terminal Sliding Mode

FTSM:

Fast Terminal Sliding Mode

NTSM:

Nonsingular Terminal Sliding Mode

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Authors and Affiliations

  1. School of Electrical Engineering, University of Ulsan, 93, Daehak-ro, Nam-gu, Ulsan, 44610, South Korea

    Xuan-Toa Tran & Hee-Jun Kang

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  1. Xuan-Toa Tran
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  2. Hee-Jun Kang
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Correspondence to Hee-Jun Kang.

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Tran, XT., Kang, HJ. A novel adaptive finite-time control method for a class of uncertain nonlinear systems. Int. J. Precis. Eng. Manuf. 16, 2647–2654 (2015). https://doi.org/10.1007/s12541-015-0339-z

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  • DOI: https://doi.org/10.1007/s12541-015-0339-z

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