Bifurcation-based fractional-order PIλDμ controller design approach for nonlinear chaotic systems
We propose a novel approach called the robust fractional-order proportional-integral-derivative (FOPID) controller, to stabilize a perturbed nonlinear chaotic system on one of its unstable fixed points. The stability analysis of the nonlinear chaotic system is made based on the proportional-integral...
Gespeichert in:
Veröffentlicht in: | Frontiers of information technology & electronic engineering 2018-02, Vol.19 (2), p.180-191 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | We propose a novel approach called the robust fractional-order proportional-integral-derivative (FOPID) controller, to stabilize a perturbed nonlinear chaotic system on one of its unstable fixed points. The stability analysis of the nonlinear chaotic system is made based on the proportional-integral-derivative actions using the bifurcation diagram. We extract an initial set of controller parameters, which are subsequently optimized using a quadratic criterion. The integral and derivative fractional orders are also identified by this quadratic criterion. By applying numerical simulations on two nonlinear systems, namely the multi-scroll Chen system and the Genesio-Tesi system, we show that the fractional PI
λ
D
μ
controller provides the best closed-loop system performance in stabilizing the unstable fixed points, even in the presence of random perturbation. |
---|---|
ISSN: | 2095-9184 2095-9230 |
DOI: | 10.1631/FITEE.1601543 |