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AN OVERVIEW OF BIFURCATION, CHAOS AND NONLINEAR DYNAMICS IN CONTROL-SYSTEMS

被引：42
作者：
CHEN, GR
MOIOLA, JL
机构：
[1] UNIV HOUSTON, HOUSTON, TX 77204 USA
[2] UNIV NACL SUR, DEPT ING ELECT, RA-8000 BAHIA BLANCA, ARGENTINA
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1994年 / 331B卷 / 06期
关键词：
D O I：
10.1016/0016-0032(94)90090-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article Offers a brief review of the fundamental concepts of bifurcation and chaos in nonlinear dynamical and control systems. Both the time-domain and frequency-domain versions of the classical Hopf bifurcation theory are studied in detail. Generalized (or degenerate) Hopf bifurcation is also discussed. Theoretical analysis and potential applications of the bifurcation theory in power systems are introduced. Meanwhile, chaos and the route to chaos from period-doubling bifurcations are described. In particular, chaos and bifurcations in feedback control systems and adaptive control systems are addressed. Because a nonlinear control system is by nature a very complex nonautonomous dynamical system due essentially to the involving of the control input, understanding and utilizing the rich dynamics of nonlinear control systems have an important impact in the modern technology. It calls for new effort and endeavor devoted to this scientific and engineering challenge.
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页码：819 / 858
页数：40
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