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Predefined-time integral sliding mode control of second-order systems

Juan Diego Sánchez-Torres, Aldo Jonathan Muñoz-Vázquez, Michael Defoort, Rodrigo Aldana-López and David Gómez-Gutiérrez

International Journal of Systems Science, 2020, vol. 51, issue 16, 3425-3435

Abstract: This manuscript introduces the design of a controller that ensures predefined-time convergence for a class of second-order systems. In contrast to finite- and fixed-time controllers, predefined-time schemes allow to prescribe a bound for the convergence time as a control parameter. First, a predefined-time integral sliding mode controller allows rejecting unknown but bounded matched disturbances. Then, the system dynamics evolve free of the effect of disturbances during the integral sliding motion. Finally, an ideal controller enforces convergence also in predefined-time. A Lyapunov-like characterisation for predefined-time stability is conducted, and numerical results are provided to illustrate the validity of the proposed technique.

Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/00207721.2020.1815893

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