DocumentCode
2230138
Title
From Floquet exponents to control of chaos in piecewise linear systems
Author
Batlle, Carles ; Ossa, Enric F. ; Olivar, G.
Author_Institution
Univ. Politecnica de Catalunya, Barcelona, Spain
Volume
2
fYear
2000
fDate
2000
Firstpage
100
Abstract
We show that, for piecewise linear systems, Floquet exponents of periodic orbits can be analytically computed. Impulsive differential equations (IDE) play a key role in the process. The same techniques used for Floquet exponents can be applied to the computation of the range of parameters such that chaos can be suppressed by stabilization of naturally unstable periodic orbits (UPO). In particular, the theory can be applied to the suppression of chaos in dc-dc converters
Keywords
DC-DC power convertors; chaos; nonlinear control systems; piecewise linear techniques; stability; Floquet exponents; chaos control; dc-dc converters; impulsive differential equations; naturally unstable periodic orbits; periodic orbits; piecewise linear systems; stabilization; Biological control systems; Chaos; Control systems; DC-DC power converters; Delay; Equations; Linear feedback control systems; Orbits; Piecewise linear techniques; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location
Geneva
Print_ISBN
0-7803-5482-6
Type
conf
DOI
10.1109/ISCAS.2000.856268
Filename
856268
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