Frequency domain methods and control of complex dynamics

Author

Basso, Michele ; Genesio, Roberto ; Tesi, Alberto

Author_Institution

Dept. of Syst. & Inf., Florence Univ., Italy

Volume

2

fYear

1998

fDate

16-18 Dec 1998

Firstpage

1936

Abstract

The paper deals with the problem of controlling complex dynamics in periodically forced systems. A general framework for the stabilization of periodic orbits based on the so-called “delayed feedback” technique is presented. We formulate the periodic orbit stabilization as an input-output L₂-stability problem and employ frequency methods in the L₂ setting to determine a stability bound of the periodic orbit. Although such a bound is conservative in nature, controllers achieving a larger bound exhibit a better control performance, as shown in several application examples

Keywords

delays; feedback; frequency-domain synthesis; input-output stability; large-scale systems; periodic control; stability criteria; I/O L₂-stability problem; complex dynamics control; delayed feedback; frequency domain methods; frequency methods; input-output L₂-stability problem; periodic orbit stabilization; periodically forced systems; stability bound; Adaptive control; Chaos; Control systems; Design methodology; Feedback control; Force control; Frequency domain analysis; Orbits; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758599

Filename

758599