Selective excitation of identical conservative port-hamiltonian systems by a single control

Dmitry Gromov; Alexander L. Fradkov; Mikhail S. Ananyevskiy

doi:10.23919/ECC.2019.8795780

Selective excitation of identical conservative port-hamiltonian systems by a single control

Dmitry Gromov
, Alexander L. Fradkov
, Mikhail S. Ananyevskiy

St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO)
St. Petersburg State University

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

Abstract

A generalization of the results obtained earlier in M. S. Ananyevskiy, A. L. Fradkov, and H. Nijmeijer; Control of mechanical systems with constraints: two pendulums case study, IFAC Proceedings Volumes, vol. 41, no. 2, pp. 7690-7694, 2008. is presented. Three control problems for complex systems consisting of port-Hamiltonian subsystems are formulated. In particular, the problem of exciting a number of identical port-Hamiltonian systems to given (not necessarily equal) energy levels while ensuring strict bounds on the energy levels of remaining systems is studied. Solvability conditions based on speed-gradient control are established. The obtained results are illustrated by numerical simulations.

Original language	English
Title of host publication	2019 18th European Control Conference, ECC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2879-2884
Number of pages	6
ISBN (Electronic)	9783907144008
DOIs	https://doi.org/10.23919/ECC.2019.8795780
Publication status	Published - Jun 2019
Externally published	Yes
Event	18th European Control Conference, ECC 2019 - Naples, Italy Duration: 25 Jun 2019 → 28 Jun 2019

Publication series

Name	2019 18th European Control Conference, ECC 2019

Conference

Conference	18th European Control Conference, ECC 2019
Country/Territory	Italy
City	Naples
Period	25/06/19 → 28/06/19

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10.23919/ECC.2019.8795780

Cite this

Gromov, D., Fradkov, A. L., & Ananyevskiy, M. S. (2019). Selective excitation of identical conservative port-hamiltonian systems by a single control. In 2019 18th European Control Conference, ECC 2019 (pp. 2879-2884). Article 8795780 (2019 18th European Control Conference, ECC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2019.8795780

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title = "Selective excitation of identical conservative port-hamiltonian systems by a single control",

abstract = "A generalization of the results obtained earlier in M. S. Ananyevskiy, A. L. Fradkov, and H. Nijmeijer; Control of mechanical systems with constraints: two pendulums case study, IFAC Proceedings Volumes, vol. 41, no. 2, pp. 7690-7694, 2008. is presented. Three control problems for complex systems consisting of port-Hamiltonian subsystems are formulated. In particular, the problem of exciting a number of identical port-Hamiltonian systems to given (not necessarily equal) energy levels while ensuring strict bounds on the energy levels of remaining systems is studied. Solvability conditions based on speed-gradient control are established. The obtained results are illustrated by numerical simulations.",

author = "Dmitry Gromov and Fradkov, \{Alexander L.\} and Ananyevskiy, \{Mikhail S.\}",

note = "Publisher Copyright: {\textcopyright} 2019 EUCA.; 18th European Control Conference, ECC 2019 ; Conference date: 25-06-2019 Through 28-06-2019",

year = "2019",

month = jun,

doi = "10.23919/ECC.2019.8795780",

language = "English",

series = "2019 18th European Control Conference, ECC 2019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2879--2884",

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address = "United States",

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Gromov, D, Fradkov, AL & Ananyevskiy, MS 2019, Selective excitation of identical conservative port-hamiltonian systems by a single control. in 2019 18th European Control Conference, ECC 2019., 8795780, 2019 18th European Control Conference, ECC 2019, Institute of Electrical and Electronics Engineers Inc., pp. 2879-2884, 18th European Control Conference, ECC 2019, Naples, Italy, 25/06/19. https://doi.org/10.23919/ECC.2019.8795780

Selective excitation of identical conservative port-hamiltonian systems by a single control. / Gromov, Dmitry; Fradkov, Alexander L.; Ananyevskiy, Mikhail S.
2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 2879-2884 8795780 (2019 18th European Control Conference, ECC 2019).

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

TY - GEN

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AB - A generalization of the results obtained earlier in M. S. Ananyevskiy, A. L. Fradkov, and H. Nijmeijer; Control of mechanical systems with constraints: two pendulums case study, IFAC Proceedings Volumes, vol. 41, no. 2, pp. 7690-7694, 2008. is presented. Three control problems for complex systems consisting of port-Hamiltonian subsystems are formulated. In particular, the problem of exciting a number of identical port-Hamiltonian systems to given (not necessarily equal) energy levels while ensuring strict bounds on the energy levels of remaining systems is studied. Solvability conditions based on speed-gradient control are established. The obtained results are illustrated by numerical simulations.

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M3 - Conference paper

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BT - 2019 18th European Control Conference, ECC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 18th European Control Conference, ECC 2019

Y2 - 25 June 2019 through 28 June 2019

ER -

Selective excitation of identical conservative port-hamiltonian systems by a single control

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