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Comparison between two different sliding mode controllers for a fractional-order unified chaotic system |
Qi Dong-Lian(齐冬莲)†, Wang Qiao(王乔), and Yang Jie(杨捷) |
College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China |
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Abstract Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterpart system, and the fractional-order system can be made asymptotically stable by this controller. By proving the existence of a sliding manifold containing fractional integral, the controller for a fractional-order system is obtained, which can stabilize it. A comparison between these different methods shows that the performance of a sliding mode controller with a fractional integral is more robust than the other for controlling a fractional order unified chaotic system.
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Received: 02 April 2011
Revised: 09 June 2011
Accepted manuscript online:
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PACS:
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05.45.Gg
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(Control of chaos, applications of chaos)
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87.19.lr
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(Control theory and feedback)
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05.45.-a
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(Nonlinear dynamics and chaos)
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74.40.De
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(Noise and chaos)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60702023) and the Natural Science Foundation of Zhejiang Province, China (Grant No. R1110443). |
Cite this article:
Qi Dong-Lian(齐冬莲), Wang Qiao(王乔), and Yang Jie(杨捷) Comparison between two different sliding mode controllers for a fractional-order unified chaotic system 2011 Chin. Phys. B 20 100505
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