Document Detail


Adaptive tuning of feedback gain in time-delayed feedback control.
MedLine Citation:
PMID:  22225348     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fixed point and an unstable periodic orbit embedded in a chaotic attractor. The adaptation algorithm is constructed using the speed-gradient method of control theory. Our computer simulations show that the adaptation algorithm can find an appropriate value of the feedback gain for single and multiple delays. Furthermore, we show that our method is robust to noise and different initial conditions.
Authors:
J Lehnert; P Hövel; V Flunkert; P Yu Guzenko; A L Fradkov; E Schöll
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Publication Detail:
Type:  JOURNAL ARTICLE    
Journal Detail:
Title:  Chaos (Woodbury, N.Y.)     Volume:  21     ISSN:  1089-7682     ISO Abbreviation:  -     Publication Date:  2011 Dec 
Date Detail:
Created Date:  2012-1-9     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  100971574     Medline TA:  Chaos     Country:  -    
Other Details:
Languages:  ENG     Pagination:  043111     Citation Subset:  -    
Affiliation:
Institut für Theoretische Physik, TU Berlin, Hardenbergstraße 36, D-10623 Berlin, GermanyBernstein Center for Computational Neuroscience, Humboldt-Universitat zu Berlin, Philippstr. 13, D-10115 Berlin, GermanySPb State Polytechnical University, Politechnicheskaya st., 29, St. Petersburg 195251, RussiaInstitute for Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoy Ave., 61, V. O., St. Petersburg 199178, RussiaSPb State University, Universitetskii pr.28, St. Petersburg 198504, Russia.
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