On the stability of delayed feedback controllers

被引：23

作者：

Morgül, Ö ^{[1
]}

机构：

[1] Bilkent Univ, Dept Elect & Elect Engn, TR-06533 Bilkent, Ankara, Turkey

来源：

PHYSICS LETTERS A | 2003年 / 314卷 / 04期

关键词：

chaotic systems; chaos control; delayed feedback; Pyragas controller;

D O I：

10.1016/S0375-9601(03)00866-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：278 / 285

页数：8

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