A dynamic delayed feedback controller for chaotic discrete-time systems

被引：0

作者：

Yamamoto, S ^{[1
]}

Hino, T ^{[1
]}

Ushio, T ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan

来源：

PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2000年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Delayed feedback control (DFC) is a useful control method with a static feedback gain for chaotic systems. However, it is known that DFC can not stabilize any systems with an odd number of real eigenvalues greater than unity This paper shows that ae can overcome this limitation by using dynamic delayed feedback. It is also shown that the order of the dynamic delayed feedback controller is not necessarily greater than that of the chaotic system.

引用

页码：3358 / 3359

页数：2

共 12 条

[1] EXPERIMENTAL CHARACTERIZATION OF UNSTABLE PERIODIC-ORBITS BY CONTROLLING CHAOS [J].

BIELAWSKI, S ;

DEROZIER, D ;

GLORIEUX, P .

PHYSICAL REVIEW A, 1993, 47 (04) :R2492-R2495

[2] Low-order control design for LMI problems using alternating projection methods [J].

Grigoriadis, KM ;

Skelton, RE .

AUTOMATICA, 1996, 32 (08) :1117-1125

[3] PARAMETRIZATION OF ALL STABILIZING CONTROLLERS VIA QUADRATIC LYAPUNOV FUNCTIONS [J].

IWASAKI, T ;

SKELTON, RE .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1995, 85 (02) :291-307

[4] Observer-based delayed-feedback control for discrete-time chaotic systems [J].

Konishi, K ;

Kokame, H .

PHYSICS LETTERS A, 1998, 248 (5-6) :359-368

[5] On analytical properties of delayed feedback control of chaos [J].

Nakajima, H .

PHYSICS LETTERS A, 1997, 232 (3-4) :207-210

[6] Half-period delayed feedback control for dynamical systems with symmetries [J].

Nakajima, H ;

Ueda, Y .

PHYSICAL REVIEW E, 1998, 58 (02) :1757-1763

[7] CONTROLLING CHAOS [J].

OTT, E ;

GREBOGI, C ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199

[8] CONTINUOUS CONTROL OF CHAOS BY SELF-CONTROLLING FEEDBACK [J].

PYRAGAS, K .

PHYSICS LETTERS A, 1992, 170 (06) :421-428

[9]

Skelton R., 1998, UNIFIED ALGEBRAIC AP

[10] Limitation of delayed feedback control in nonlinear discrete-time systems [J].

Ushio, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1996, 43 (09) :815-816

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