Comparison between two different sliding mode controllers for a fractional-order unified chaotic system |
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| Authors: | Qi Dong-Lian Wang Qiao and Yang Jie |
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| Affiliation: | College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China;College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China;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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| Keywords: | unified chaotic system fractional-order system sliding mode control |
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