Homogeneity of neutral systems and accelerated stabilization of a double integrator by measurement of its position - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Automatica Year : 2020

Homogeneity of neutral systems and accelerated stabilization of a double integrator by measurement of its position

Abstract

A new theory of homogeneity for neutral type systems with application to fast stabilization of the 2nd-order integrator is proposed. It is assumed that only the position is available for measurements, and the designed feedback uses the output and its delayed values without an estimation of velocity. It is shown that by selecting the closed-loop system to be homogeneous with negative or positive degree, it is possible to accelerate the rate of convergence in the system at the price of a small steady-state error. Robustness of the developed stabilization strategy with respect to exogenous perturbations is investigated. The efficiency of the proposed control is demonstrated in simulations.

Domains

Automatic
Fichier principal
Vignette du fichier
Homo_TD_Ctrl_J_short.pdf (1.19 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02539368 , version 1 (10-04-2020)

Identifiers

Cite

Denis Efimov, Emilia Fridman, Wilfrid Perruquetti, Jean-Pierre Richard. Homogeneity of neutral systems and accelerated stabilization of a double integrator by measurement of its position. Automatica, 2020, 118, ⟨10.1016/j.automatica.2020.109023⟩. ⟨hal-02539368⟩
89 View
148 Download

Altmetric

Share

Gmail Facebook X LinkedIn More