Chaotification of linear continuous-time systems using simple nonlinear feedback
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 3099-3106 |
| Journal / Publication | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 13 |
| Issue number | 10 |
| Publication status | Published - Oct 2003 |
Link(s)
Abstract
A nonlinear state feedback controller is proposed for the generation of chaos in third-order linear autonomous continuous time systems. With a simple feedback controller of the form g(x) = βx|x|, chaotic dynamics can be observed. Bifurcation analysis and the verification of the existence of chaos are given based on numerical continuation techniques and the Shil'nikov theorem. Both computer simulation and circuit implementation demonstrate the chaotification effect of this simple feedback controller.
Research Area(s)
- Bifurcation, Chaotification, Continuation, Nonlinear feedback
Citation Format(s)
Chaotification of linear continuous-time systems using simple nonlinear feedback. / Tang, Wallace K.S.; Zhong, G. Q.
In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 13, No. 10, 10.2003, p. 3099-3106.
In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 13, No. 10, 10.2003, p. 3099-3106.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
