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On simple scheme of finite/fixed-time control design

Abstract : Control laws are designed for stabilization of a chain of integrators of arbitrary degree in finite and fixed time. Presented control laws are obtained with use of Lyapunov function method and homogeneity concept. The present analysis is based on use of explicitly defined Lyapunov function that is the hallmark with respect to similar works. This analysis allows to get simple procedure of parameters tuning and obtain new estimates for settling-time function. The theoretical results are supported by numerical examples.
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https://hal.inria.fr/hal-01872533
Contributor : Andrey Polyakov <>
Submitted on : Wednesday, September 12, 2018 - 11:18:40 AM
Last modification on : Wednesday, April 14, 2021 - 2:12:28 PM
Long-term archiving on: : Thursday, December 13, 2018 - 1:40:34 PM

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Konstantin Zimenko, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. On simple scheme of finite/fixed-time control design. International Journal of Control, Taylor & Francis, 2020, 93 (6), ⟨10.1080/00207179.2018.1506889⟩. ⟨hal-01872533⟩

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