Consistent discretization of finite/fixed-time controllers

2022/07/07 by Polyakov, Andrey, Efimov, Denis, Ping, Xubin
#93D40 #FOS: Electrical engineering #G.1.2 #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2207.03235

Abstract

The paper proposes an algorithm for a discretization (sampled-time implementation) of a homogeneous control preserving the finite-time and nearly fixed-time stability property of the original (sampling-free) system. 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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