DocumentCode
700719
Title
Bifurcations and chaos in simple control systems
Author
Alvarez, Joaquin ; Curiel, Esteban ; Verduzco, Fernando
Author_Institution
CICESE, San Diego, CA, USA
fYear
1997
fDate
1-7 July 1997
Firstpage
1708
Lastpage
1713
Abstract
An analysis of the dynamical behavior of second-order linear plants controlled with conventional controllers is presented. The control signal is passed through classical non-linearities before being applied to the plant. Existence, stability, and some bifurcations occurring in some control schemes are analyzed. Existence of periodic and homoclinic orbits is also discussed. Using the Melnikov/Smale and Genesio/Tesi methods some conditions about existence of strange invariant sets are established. Numerical and experimental results support the analysis presented.
Keywords
control system analysis; linear systems; nonlinear control systems; set theory; Genesio-Tesi method; Melnikov-Smale method; bifurcation; chaos; control signal; conventional controller; homoclinic orbit; periodic orbit; second-order linear plants; simple control system; Europe; Chaos; Classical control; Nonlinear dynamics;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 1997 European
Conference_Location
Brussels
Print_ISBN
978-3-9524269-0-6
Type
conf
Filename
7082349
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