4.7 Article

Design of controllers with arbitrary convergence time

Journal

AUTOMATICA
Volume 112, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2019.108710

Keywords

Nonlinear control; Nonautonomous system; Backstepping; Lyapunov stability; Free-will arbitrary time stability

Funding

  1. project titled Construction of Non-monotonic Lyapunov Function for the Dynamical Systems governed by Differential Inclusions: Mathematical Research Impact Centric Support (MATRICS) to the Science and Engineering Research Board (SERB), India, 2019-2021 [MTR/2018/000799]

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In this paper, a method for new controller design ensuring the arbitrary time of convergence is proposed. The sufficient condition for Lyapunov stability is also given for this arbitrary chosen time stable system. Disturbances have been taken care of by introducing sliding mode control in the design approach. Finally, the efficacy of the proposed method is illustrated through a practical system, viz., magnetic suspension system. (C) 2019 Elsevier Ltd. All rights reserved.

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