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Design and robustness of delayed feedback controllers for discrete systems.

Publication ,  Journal Article
Harrington, I; Socolar, JES
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
May 2004

We study a matrix form of time-delay feedback control in the context of discrete time maps of high dimension. In almost all cases where standard proportional feedback control methods can achieve control, time-delay feedback controllers containing only static elements can be designed to achieve identical linear stability properties. Analysis of an example involving a ring of coupled maps that can be controlled at only two sites demonstrates that the time-delay controller equivalent to a standard optimal controller can be equally robust in the presence of noise, except at special points in parameter space where the uncontrolled system has a mode with Floquet multiplier exactly equal to 1. Numerical simulations confirm the results of the analysis.

Duke Scholars

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

May 2004

Volume

69

Issue

5 Pt 2

Start / End Page

056207

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Harrington, I., & Socolar, J. E. S. (2004). Design and robustness of delayed feedback controllers for discrete systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 69(5 Pt 2), 056207. https://doi.org/10.1103/physreve.69.056207
Harrington, Ilan, and Joshua E. S. Socolar. “Design and robustness of delayed feedback controllers for discrete systems.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 69, no. 5 Pt 2 (May 2004): 056207. https://doi.org/10.1103/physreve.69.056207.
Harrington I, Socolar JES. Design and robustness of delayed feedback controllers for discrete systems. Physical review E, Statistical, nonlinear, and soft matter physics. 2004 May;69(5 Pt 2):056207.
Harrington, Ilan, and Joshua E. S. Socolar. “Design and robustness of delayed feedback controllers for discrete systems.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 69, no. 5 Pt 2, May 2004, p. 056207. Epmc, doi:10.1103/physreve.69.056207.
Harrington I, Socolar JES. Design and robustness of delayed feedback controllers for discrete systems. Physical review E, Statistical, nonlinear, and soft matter physics. 2004 May;69(5 Pt 2):056207.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

May 2004

Volume

69

Issue

5 Pt 2

Start / End Page

056207

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences