On the stability of delayed feedback controllers
Author(s)
Date
2003Source Title
Physics Letters, Section A: General, Atomic and Solid State Physics
Print ISSN
0375-9601
Publisher
Elsevier
Volume
314
Issue
4
Pages
278 - 285
Language
English
Type
ArticleItem Usage Stats
129
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Abstract
We consider the stability of delayed feedback control (DFC) scheme for one-dimensional discrete time systems. We first construct a map whose fixed points correspond to the periodic orbits of the uncontrolled system. Then the stability of the DFC is analyzed as the stability of the corresponding equilibrium point of the constructed map. For each periodic orbit, we construct a characteristic polynomial whose Schur stability corresponds to the stability of DFC. By using Schur-Cohn criterion, we can find bounds on the gain of DFC to ensure stability. © 2003 Elsevier B.V. All rights reserved.
Keywords
Chaos controlChaotic systems
Delayed feedback
Pyragas controller
article
chaos control
chaotic dynamics
delayed feedback control
equilibrium
feedback system
mathematical analysis
pyragas controller
simulation
time
Permalink
http://hdl.handle.net/11693/24448Published Version (Please cite this version)
http://dx.doi.org/10.1016/S0375-9601(03)00866-1Collections
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