PD control at Neimark–Sacker bifurcations in a Mackey–Glass system
Abstract This article focuses on a proportional-derivative (PD) feedback controller to control a Neimark–Sacker bifurcation for a Mackey–Glass system by the Euler method. It has been shown that the onset of the Neimark–Sacker bifurcation can be postponed or advanced via a PD controller by choosing p...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-11-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1864-8 |
| Summary: | Abstract This article focuses on a proportional-derivative (PD) feedback controller to control a Neimark–Sacker bifurcation for a Mackey–Glass system by the Euler method. It has been shown that the onset of the Neimark–Sacker bifurcation can be postponed or advanced via a PD controller by choosing proper control parameters. Finally, numerical simulations are given to confirm our analysis results and the effectiveness of the control strategy. Especially, a derivative controller can significantly improve the speed of response of a control system. |
|---|---|
| ISSN: | 1687-1847 |