A separation principle for dynamical delayed output feedback control of chaos

Authors
Tian, YP Chen, GR
Citation
Yp. Tian et Gr. Chen, A separation principle for dynamical delayed output feedback control of chaos, PHYS LETT A, 284(1), 2001, pp. 31-42
Citations number
12
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
284
Issue
1
Year of publication
2001
Pages
31 - 42
Database
ISI
SICI code
0375-9601(20010528)284:1<31:ASPFDD>2.0.ZU;2-S
Abstract
In this Letter, a dynamical delayed output-feedback (DDOF) control strategy is proposed for stabilizing unstable periodic orbits (UPOs) of chaotic sys tems. Using the Floquet theory, a separation principle is established which gives a necessary and sufficient stability condition for DDOF UPO stabiliz ing control systems. The new principle shows that the so-called "odd number limitation" for delayed state-feedback control systems also applies to DDO F control. (C)\ 2001 Published by Elsevier Science B.V.