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Multivariable Super-Twisting Algorithm for Systems With Uncertain Input Matrix and Perturbations

delete2022-12-01
delete25
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OA
AI
J
Jaime A. Moreno
H
Héctor Ríos *
L
Luis Ovalle
L
Leonid Fridman
DOI:10.1109/TAC.2021.3130880delete
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Abstract

Abstract

En 中文
This article proposes a Lyapunov approach to the design of a multivariable generalized super-twisting algorithm (MGSTA), which is able to control a system with perturbations and uncertain control matrix, both depending on time and the system states. The presented procedure shows that, under reasonable assumptions for the uncertainties, it is always possible to find a set of constant gains for the MGSTA in order to ensure global and robust finite-time stability of the system's outputs. Simulation results on an omnidirectional mobile robot illustrate the performance of the MGSTA.
Keywords:
Robust control
sliding-mode control
super-twisting algorithm
uncertain systems

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

U
Universidad Nacional Autonoma de Mexico
Scholars:
3.8W
Papers: 2.6W
Citations: 28