Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 4, Pages 2469-2483Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.06.002
Keywords
Fractional-order chaotic system; Adaptive sliding mode control; Chaos; Uncertainty; External disturbance
Funding
- National Basic Research Program of China [2010CB732501]
- National Natural Science Foundation of China [NSFC-60873102]
Ask authors/readers for more resources
In this paper, an adaptive sliding mode controller for a novel class of fractional-order chaotic systems with uncertainty and external disturbance is proposed to realize chaos control. The bounds of the uncertainty and external disturbance are assumed to be unknown. Appropriate adaptive laws are designed to tackle the uncertainty and external disturbance. In the adaptive sliding mode control (ASMC) strategy, fractional-order derivative is introduced to obtain a novel sliding surface. The adaptive sliding mode controller is shown to guarantee asymptotical stability of the considered fractional-order chaotic systems in the presence of uncertainty and external disturbance. Some numerical simulations demonstrate the effectiveness of the proposed ASMC scheme. (c) 2012 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available