Abstract
Regarding the fractional order hyperchaotic system with a larger key space as the drive system and response system, an output feedback sliding mode controller with practical application significance is designed to implement their synchronization. Through decomposing the equations of the synchronization error system, a sliding control law with output feedback characteristic is developed on the basis of the auxiliary system. Based on the stability theory of the fractional system, the sliding parameters are tuned by using the YALMIP toolbox in MATLAB, and then the stabilities of the sliding control law and adaptive sliding control law are proved by the fractional order Lyapunov stability theorem. Simulation results show that the synchronization scheme proposed in this paper is effective and feasible.
| Original language | English |
|---|---|
| Pages (from-to) | 2420-2427 |
| Number of pages | 8 |
| Journal | Zidonghua Xuebao/Acta Automatica Sinica |
| Volume | 40 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1 Nov 2014 |
Keywords
- Chaotic synchronization
- Fractional calculus
- Fractional order system
- Output feedback
- Sliding mode control
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