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Finite-Time Sliding Mode Trajectory Tracking Control of Uncertain Mechanical Systems

Published: 01 January 2017 Publication History

Abstract

The problem of finite-time tracking control is studied for uncertain nonlinear mechanical systems. To achieve finite-time convergence of tracking errors, a simple linear sliding surface based on polynomial reference trajectory is proposed to enable the trajectory tracking errors to converge to zero in a finite time, which is assigned arbitrarily in advance. The sliding mode control technique is employed in the development of the finite-time controller to guarantee the excellent robustness of the closed-loop system. The proposed sliding mode scheme eliminates the reaching phase problem, so that the closed-loop system always holds the invariance property to parametric uncertainties and external disturbances. Lyapunov stability analysis is performed to show the global finite-time convergence of the tracking errors. A numerical example of a rigid spacecraft attitude tracking problem demonstrates the effectiveness of the proposed controller.

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    cover image Asian Journal of Control
    Asian Journal of Control  Volume 19, Issue 1
    January 2017
    414 pages
    ISSN:1561-8625
    EISSN:1934-6093
    Issue’s Table of Contents

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    John Wiley & Sons, Inc.

    United States

    Publication History

    Published: 01 January 2017

    Author Tags

    1. Finite-time control
    2. sliding mode control
    3. trajectory tracking
    4. uncertain mechanical systems

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