Journal
JOURNAL OF VIBRATION AND CONTROL
Volume 21, Issue 3, Pages 435-448Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546313486283
Keywords
Chaos control; fractional-order chaotic system; uncertain parameter; Lyapunov stability; sliding mode control
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Funding
- NSF of China [10972181, 11102157]
- Program for NCET
- Shaanxi Project for Young New Stars in Science and Technology
- Ministry of Education of Humanities and Social Science [11YJC630071]
- NPU Foundation for Fundamental Research
- SRF for ROCS, SEM
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This paper deals with a sliding mode control for a class of fractional uncertain chaotic systems under perturbations of parameters. A fractional integral sliding surface is proposed for fractional-order systems and then the sliding mode control technique is carried out to realize the control of the given systems. Based on Lyapunov stability theory, we theoretically verify that the controller is effective, and the designed control scheme can go against the system's uncertainty to guarantee the property of asymptotical stability in the presence of parameter fluctuations. Later, two typical examples are illustrated numerically to show that the control approach in this paper is capable for any form of fractional-order uncertain systems.
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