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No-chattering sliding mode control in a class of fractional-order chaotic systems |
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| Authors: | Chen Di-Yi Liu Yu-Xiao Ma Xiao-Yi and Zhang Run-Fan |
| Institution: | Department of Electrical Engineering, College of Water Resources and Architectural Engineering, Northwest Agriculture and Forestry University, Yangling 712100, China;Department of Electrical Engineering, College of Water Resources and Architectural Engineering, Northwest Agriculture and Forestry University, Yangling 712100, China;Department of Electrical Engineering, College of Water Resources and Architectural Engineering, Northwest Agriculture and Forestry University, Yangling 712100, China;Department of Electrical Engineering, College of Water Resources and Architectural Engineering, Northwest Agriculture and Forestry University, Yangling 712100, China |
| Abstract: | A no-chattering sliding mode control strategy for a class of fractional-order chaotic systems is proposed in this paper. First, the sliding mode control law is derived to stabilize the states of the commensurate fractional-order chaotic system and the non-commensurate fractional-order chaotic system, respectively. The designed control scheme guarantees the asymptotical stability of an uncertain fractional-order chaotic system. Simulation results are given for several fractional-order chaotic examples to illustrate the effectiveness of the proposed scheme. |
| Keywords: | fractional-order system chaos control sliding mode uncertain chaotic systems |
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