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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 1, 2004

A matrix form of time-delay feedback control in the context of discrete time maps of high dimension was studied. Time-delay feedback controllers containing only static elements can be designed to achieve identical linear stability properties, in almost all cases where standard proportional feedback control methods can achieve control. This control was a generalization of a method called 'extended time-delay autosynchronization' (ETDAS). Analysis of an example involving a ring of coupled maps that can be controlled at only two sites demonstrated that the time-delay controller equivalent to a standard optimal controller can be equally robust in the presence of noise.

Duke Scholars

Published In

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

ISSN

1539-3755

Publication Date

May 1, 2004

Volume

69

Issue

5 1

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 1).
Harrington, I., and J. 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 1 (May 1, 2004).
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 1;69(5 1).
Harrington, I., and J. 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 1, May 2004.
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 1;69(5 1).

Published In

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

ISSN

1539-3755

Publication Date

May 1, 2004

Volume

69

Issue

5 1

Related Subject Headings

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