✦ LIBER ✦

Complex dynamics in classical control systems

✍ Scribed by Joaquin Alvarez; Esteban Curiel; Fernando Verduzco

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 668 KB
Volume: 31
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(97)00043-1

No coin nor oath required. For personal study only.

✦ Synopsis

An analysis of the complex dynamical behavior of second-order linear plants controlled with conventional controllers is presented. The control signal is passed through a classical nonlinearity before being applied to the plant. Existence of periodic and homoclinic orbits is discussed. Using the Melnikov/Smale and Genesio/Tesi methods some conditions about the existence of invariant strange sets are also established. It is shown that simple classical control schemes with typical nonlinearities can exhibit chaotic dynamics in a certain range of the controller parameters. Numerical and experimental results support the analysis presented. @ 1997 Elsevier Science B.V.

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