Complex dynamics in classical control systems

被引：17

作者：

Alvarez, J ^{[1
]}

Curiel, E ^{[1
]}

Verduzco, F ^{[1
]}

机构：

[1] CICESE, SCI RES & ADV STUDIES CTR, DEPT ELECT & TELECOMMUN, ENSENADA 22860, BAJA CALIFORNIA, MEXICO

来源：

SYSTEMS & CONTROL LETTERS | 1997年 / 31卷 / 05期

关键词：

chaos; bifurcations; Melnikov theory; harmonic balance method; PI control;

D O I：

10.1016/S0167-6911(97)00043-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 1997 Elsevier Science B.V.

引用

页码：277 / 285

页数：9

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