On hyper-exponential output-feedback stabilization of a double integrator by using artificial delay

D. Efimov; E. Fridman; W. Perruquetti; J. P. Richard

doi:10.23919/ECC.2018.8550196

On hyper-exponential output-feedback stabilization of a double integrator by using artificial delay

D. Efimov
, E. Fridman
, W. Perruquetti
, J. P. Richard

School of Electrical Engineering

Institut national de recherche en informatique et en automatique
École centrale de Lille
St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

The problem of output-feedback stabilization of a double integrator is revisited with the objective of achieving the rates of convergence faster than exponential. It is assumed that only position is available for measurements, and the designed feedback is based on the output and its delayed values without anestimationofvelocity. 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. Efficiency of the proposed control is demonstrated in simulations.

Original language	English
Title of host publication	2018 European Control Conference, ECC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1178-1182
Number of pages	5
ISBN (Electronic)	9783952426982
DOIs	https://doi.org/10.23919/ECC.2018.8550196
State	Published - 27 Nov 2018
Event	16th European Control Conference, ECC 2018 - Limassol, Cyprus Duration: 12 Jun 2018 → 15 Jun 2018

Publication series

Name	2018 European Control Conference, ECC 2018

Conference

Conference	16th European Control Conference, ECC 2018
Country/Territory	Cyprus
City	Limassol
Period	12/06/18 → 15/06/18

Funding

Funders	Funder number
Ministry of Education and Science of the Russian Federation
Israel Science Foundation	1128/14
Government Council on Grants, Russian Federation	074-U01

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10.23919/ECC.2018.8550196

Cite this

Efimov, D., Fridman, E., Perruquetti, W., & Richard, J. P. (2018). On hyper-exponential output-feedback stabilization of a double integrator by using artificial delay. In 2018 European Control Conference, ECC 2018 (pp. 1178-1182). Article 8550196 (2018 European Control Conference, ECC 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2018.8550196

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title = "On hyper-exponential output-feedback stabilization of a double integrator by using artificial delay",

abstract = "The problem of output-feedback stabilization of a double integrator is revisited with the objective of achieving the rates of convergence faster than exponential. It is assumed that only position is available for measurements, and the designed feedback is based on the output and its delayed values without anestimationofvelocity. 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. Efficiency of the proposed control is demonstrated in simulations.",

author = "D. Efimov and E. Fridman and W. Perruquetti and Richard, \{J. P.\}",

note = "Publisher Copyright: {\textcopyright} 2018 European Control Association (EUCA).; 16th European Control Conference, ECC 2018 ; Conference date: 12-06-2018 Through 15-06-2018",

year = "2018",

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day = "27",

doi = "10.23919/ECC.2018.8550196",

language = "אנגלית",

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Efimov, D, Fridman, E, Perruquetti, W & Richard, JP 2018, On hyper-exponential output-feedback stabilization of a double integrator by using artificial delay. in 2018 European Control Conference, ECC 2018., 8550196, 2018 European Control Conference, ECC 2018, Institute of Electrical and Electronics Engineers Inc., pp. 1178-1182, 16th European Control Conference, ECC 2018, Limassol, Cyprus, 12/06/18. https://doi.org/10.23919/ECC.2018.8550196

On hyper-exponential output-feedback stabilization of a double integrator by using artificial delay. / Efimov, D.; Fridman, E.; Perruquetti, W. et al.
2018 European Control Conference, ECC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1178-1182 8550196 (2018 European Control Conference, ECC 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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On hyper-exponential output-feedback stabilization of a double integrator by using artificial delay

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