On the stability of delayed feedback controllers

Date
2003
Authors
Morgül, Ö.
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Source Title
Physics Letters, Section A: General, Atomic and Solid State Physics
Print ISSN
0375-9601
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Publisher
Elsevier
Volume
314
Issue
4
Pages
278 - 285
Language
English
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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.

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