Paper Info
Title
Designing Hopf Bifurcations Into Nonlinear Discrete-Time Systems Via Feedback Control
Abstract
Hopf bifurcations lead to limit circles that exhibit oscillatory behaviors in nonlinear dynamical systems. Building a specified limit circle into nonlinear systems by control enables us to achieve preferred dynamical performance in the systems. This paper reports a general control method for generating a variety of specified Hopf bifurcations at a desired parameter location. The proposed control law is applicable to nonresonance, weak resonance, strong resonance, or degenerate cases. It allows us to flexibly operate and manipulate the control of Hopf bifurcations. The discrete washout filters are used for the feedback controller. The feedback control gains are derived from the critical conditions and stability conditions of Hopf bifurcations by means of the center manifold method and normal form technique. Numerical experiments indicate that the control method is effective.
Year
DOI
Venue
2004
10.1142/S0218127404010679
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
bifurcation control, Hopf bifurcation, discrete-time system, washout filters
Journal
14
Issue
ISSN
Citations 
7
0218-1274
2
PageRank 
References 
Authors
0.51
4
2
Name
Order
Citations
PageRank
Guilin Wen17610.24
Daolin Xu2184.32