Adaptive Discontinuous Control for Homogeneous Systems Approximated by Neural Networks - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Année : 2020

Adaptive Discontinuous Control for Homogeneous Systems Approximated by Neural Networks

Résumé

This study is devoted to the design of an adaptive discontinuous control based on differential neural networks (DNNs) for a class of uncertain homogeneous systems. The control is based on the universal approximation properties of artificial neural networks (ANNs) applied on a certain class of homogeneous nonlinear functions. The adaptation laws for the DNNs parameters are obtained with the application of the Lyapunov stability theory and the homogeneity properties of the approximated nonlinear system. The stability analysis of the closed loop system with the proposed controller is presented. The estimation error in the approximation of the uncertain homogeneous functions is considered in the stability analysis. The performance of the controller is illustrated by means of a numerical simulation of a homogeneous model.
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Dates et versions

hal-02614534 , version 1 (21-05-2020)

Identifiants

  • HAL Id : hal-02614534 , version 1

Citer

Mariana Ballesteros, Andrey Polyakov, Denis Efimov, Isaac Chairez, Alexander Poznyak. Adaptive Discontinuous Control for Homogeneous Systems Approximated by Neural Networks. IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02614534⟩
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