Bounded tracking controllers for the chaotic (forced) Duffing equation

A.A.J. Lefeber; H. Nijmeijer

doi:10.1109/COC.1997.626632

Bounded tracking controllers for the chaotic (forced) Duffing equation

A.A.J. Lefeber, H. Nijmeijer

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

4 Citations (Scopus)

45 Downloads (Pure)

Abstract

This paper deals with the design of feedback controllers for a chaotic dynamical system like the Duffing equation. Lyapunov theory is used to show that the proposed bounded controllers achieve global convergence for any desired trajectory. Some simulation examples illustrate the presented ideas.

Original language	English
Title of host publication	Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3
Editors	F.L. Chernousko, A.L. Fradkov
Place of Publication	New York
Publisher	Institute of Electrical and Electronics Engineers
Pages	415-418
ISBN (Print)	0-7803-4247-X
DOIs	https://doi.org/10.1109/COC.1997.626632
Publication status	Published - 1997

Access to Document

10.1109/COC.1997.626632

603636Final published version, 383 KB

Cite this

Lefeber, A. A. J., & Nijmeijer, H. (1997). Bounded tracking controllers for the chaotic (forced) Duffing equation. In F. L. Chernousko, & A. L. Fradkov (Eds.), Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3 (pp. 415-418). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/COC.1997.626632

Lefeber, A.A.J. ; Nijmeijer, H. / Bounded tracking controllers for the chaotic (forced) Duffing equation. Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3. editor / F.L. Chernousko ; A.L. Fradkov. New York : Institute of Electrical and Electronics Engineers, 1997. pp. 415-418

@inproceedings{7dbc3f84a6f842d085898334b46d396f,

title = "Bounded tracking controllers for the chaotic (forced) Duffing equation",

abstract = "This paper deals with the design of feedback controllers for a chaotic dynamical system like the Duffing equation. Lyapunov theory is used to show that the proposed bounded controllers achieve global convergence for any desired trajectory. Some simulation examples illustrate the presented ideas.",

author = "A.A.J. Lefeber and H. Nijmeijer",

year = "1997",

doi = "10.1109/COC.1997.626632",

language = "English",

isbn = "0-7803-4247-X",

pages = "415--418",

editor = "F.L. Chernousko and A.L. Fradkov",

booktitle = "Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

}

Lefeber, AAJ & Nijmeijer, H 1997, Bounded tracking controllers for the chaotic (forced) Duffing equation. in FL Chernousko & AL Fradkov (eds), Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3. Institute of Electrical and Electronics Engineers, New York, pp. 415-418. https://doi.org/10.1109/COC.1997.626632

Bounded tracking controllers for the chaotic (forced) Duffing equation. / Lefeber, A.A.J.; Nijmeijer, H.
Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3. ed. / F.L. Chernousko; A.L. Fradkov. New York: Institute of Electrical and Electronics Engineers, 1997. p. 415-418.

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

TY - GEN

T1 - Bounded tracking controllers for the chaotic (forced) Duffing equation

AU - Lefeber, A.A.J.

AU - Nijmeijer, H.

PY - 1997

Y1 - 1997

N2 - This paper deals with the design of feedback controllers for a chaotic dynamical system like the Duffing equation. Lyapunov theory is used to show that the proposed bounded controllers achieve global convergence for any desired trajectory. Some simulation examples illustrate the presented ideas.

AB - This paper deals with the design of feedback controllers for a chaotic dynamical system like the Duffing equation. Lyapunov theory is used to show that the proposed bounded controllers achieve global convergence for any desired trajectory. Some simulation examples illustrate the presented ideas.

U2 - 10.1109/COC.1997.626632

DO - 10.1109/COC.1997.626632

M3 - Conference contribution

SN - 0-7803-4247-X

SP - 415

EP - 418

BT - Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3

A2 - Chernousko, F.L.

A2 - Fradkov, A.L.

PB - Institute of Electrical and Electronics Engineers

CY - New York

ER -

Lefeber AAJ , Nijmeijer H. Bounded tracking controllers for the chaotic (forced) Duffing equation. In Chernousko FL, Fradkov AL, editors, Proceedings of the 1st International Conference on Control of Oscillations and Chaos (COC'97), , August 27-29, St. Petersburg, Russia. Vol. 3. New York: Institute of Electrical and Electronics Engineers. 1997. p. 415-418 doi: 10.1109/COC.1997.626632

Bounded tracking controllers for the chaotic (forced) Duffing equation

Abstract

Access to Document

Fingerprint

Cite this