Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method
Publication
, Journal Article
Tweten, DJ; Mann, BP
Published in: International Journal of Dynamics and Control
December 1, 2013
The spectral element approach is applied for the first time to the control of chaos with arbitrary control delays. Three important cases are explored using the spectral approach: half-period delayed feedback control (DFC), control loop latency in DFC and extended delay feedback control (EDFC), and steady state control using multiple delay feedback control (MDFC). These cases are explored in self-excited, chaotic systems, and the Floquet exponents calculated using the spectral approach compare well with published results and numerical simulations.
Duke Scholars
Published In
International Journal of Dynamics and Control
DOI
EISSN
2195-2698
ISSN
2195-268X
Publication Date
December 1, 2013
Volume
1
Issue
4
Start / End Page
283 / 289
Related Subject Headings
- 4007 Control engineering, mechatronics and robotics
Citation
APA
Chicago
ICMJE
MLA
NLM
Tweten, D. J., & Mann, B. P. (2013). Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method. International Journal of Dynamics and Control, 1(4), 283–289. https://doi.org/10.1007/s40435-013-0029-6
Tweten, D. J., and B. P. Mann. “Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method.” International Journal of Dynamics and Control 1, no. 4 (December 1, 2013): 283–89. https://doi.org/10.1007/s40435-013-0029-6.
Tweten DJ, Mann BP. Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method. International Journal of Dynamics and Control. 2013 Dec 1;1(4):283–9.
Tweten, D. J., and B. P. Mann. “Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method.” International Journal of Dynamics and Control, vol. 1, no. 4, Dec. 2013, pp. 283–89. Scopus, doi:10.1007/s40435-013-0029-6.
Tweten DJ, Mann BP. Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method. International Journal of Dynamics and Control. 2013 Dec 1;1(4):283–289.
Published In
International Journal of Dynamics and Control
DOI
EISSN
2195-2698
ISSN
2195-268X
Publication Date
December 1, 2013
Volume
1
Issue
4
Start / End Page
283 / 289
Related Subject Headings
- 4007 Control engineering, mechatronics and robotics