Bifurcations and chaos in a linear control system with saturated input

被引：25

作者：

Alvarez, J ^{[1
]}

Curiel, LE ^{[1
]}

机构：

[1] CICESE, Eletct & Telecommun Dept, Ensenada, Baja California, Mexico

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 08期

关键词：

D O I：

10.1142/S0218127497001382

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An analysis of the dynamical behavior of a saturated input, second-order, linear plant feed back with a simple proportional controller is presented. The synthesized control signal is passed through a saturator before being applied to the plant. Existence and stability of equilibria depending on the controller gain are analyzed. Existence of periodic and homoclinic orbits is also discussed. It is shown that a periodic disturbance and a negative gain can cause the closed-loop system to have a strange (chaotic) invariant set. Numerical and experimental results illustrate the analysis presented.

引用

页码：1811 / 1822

页数：12