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Journal Articles Automatica Year : 2023

Consistent discretization of homogeneous finite/fixed-time controllers for LTI systems

Abstract

The paper proposes a discretization (sampled-time implementation) algorithm for a class of homogeneous controllers for linear time-invariant (LTI) systems preserving the finite-time and nearly fixed-time stability properties. The sampling period is assumed to be constant. Both single-input and multiple-input cases are considered. The robustness (Input-to-State Stability) of the obtained sampled-time control system is studied as well. Theoretical results are supported by numerical simulations.
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Dates and versions

hal-04071575 , version 1 (17-04-2023)

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  • HAL Id : hal-04071575 , version 1

Cite

Andrey Polyakov, Denis Efimov, Xubin Ping. Consistent discretization of homogeneous finite/fixed-time controllers for LTI systems. Automatica, 2023, 155, pp.111118. ⟨hal-04071575⟩
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