![](/images/graphics-bg.png)
Parametric Controller Design of Hopf Bifurcation System
Joint Authors
Lu, Jinbo
Luo, Min
Hou, Xiaorong
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A general parametric controller design method is proposed for Hopf bifurcation of nonlinear dynamic system.
This method does not increase the dimension of the system.
Compared with the existing methods, the controller designed by this method has a lower controller order and a simpler structure, and it does not contain equilibrium points.
The method keeps equilibrium of the origin system unchanged.
Symbolic computation is used to deduce the constraints of controller, and cylindrical algebraic decomposition is used to find the stability parameter regions in parameter space of controller.
The method is then employed for Hopf bifurcation control.
Taking Lorenz system as an example, the controller design steps of the method and numerical simulations are discussed.
Computer simulation results are presented to confirm the analytical predictions.
American Psychological Association (APA)
Lu, Jinbo& Hou, Xiaorong& Luo, Min. 2015. Parametric Controller Design of Hopf Bifurcation System. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074204
Modern Language Association (MLA)
Lu, Jinbo…[et al.]. Parametric Controller Design of Hopf Bifurcation System. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1074204
American Medical Association (AMA)
Lu, Jinbo& Hou, Xiaorong& Luo, Min. Parametric Controller Design of Hopf Bifurcation System. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074204
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074204