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On Convex Embedding and Control Design for Nonlinear Homogeneous Systems

Konstantin Zimenko 1 Andrey Polyakov 2 Denis Efimov 2 
2 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The paper presents methods for nonlinear homogeneous systems representation in a canonical form allowing stability conditions to be given by a linear matrix inequality. The main restriction for a system to admit the required representation is that its right-hand side has to be bounded on a unit sphere. It is shown that some nonhomogeneous systems can also be presented in the canonical form. Based on canonical representation a stabilizing control algorithm for affine in control nonlinear systems is presented with LMI-based tuning procedure. The results are supported with numerical examples.
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Conference papers
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https://hal.inria.fr/hal-03283069
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Friday, July 9, 2021 - 4:12:37 PM
Last modification on : Thursday, March 24, 2022 - 3:42:41 AM
Long-term archiving on: : Sunday, October 10, 2021 - 7:58:16 PM

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  • HAL Id : hal-03283069, version 1

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Konstantin Zimenko, Andrey Polyakov, Denis Efimov. On Convex Embedding and Control Design for Nonlinear Homogeneous Systems. European Control Conference 2021, Jun 2021, Rotterdam, Netherlands. ⟨hal-03283069⟩

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