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A Second Order Sliding Mode Controller with Predefined-Time Convergence

, ,
Juan Diego Sanchez-Torres
  • Function : Author
Michael Defoort
Aldo-Jonathan Muñoz-Vázquez
  • Function : Author

Abstract

This paper presents the basis to design a well-suited control law which guarantees predefined-time convergence for a class of second-order systems. In contrast to the case of finite-time and fixed-time controllers, a predefined-time controller allows to set the bound of the convergence time, explicitly during the control design. Furthermore, in the case of no disturbance, the least upper bound of the convergence time can be predefined directly from the control definition. A Lyapunov-like characterization for predefined-time stability is performed. Numerical results are discussed to show the reliability of the proposed method.
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Dates and versions

hal-03409290 , version 1 (15-06-2022)

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Juan Diego Sanchez-Torres, Michael Defoort, Aldo-Jonathan Muñoz-Vázquez. A Second Order Sliding Mode Controller with Predefined-Time Convergence. 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), Sep 2018, Mexico City, Mexico. pp.1-4, ⟨10.1109/ICEEE.2018.8533952⟩. ⟨hal-03409290⟩
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