Generalized reduced-order synchronization of chaotic system based on fast slide mode |
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Authors: | Gao Tie-Gang Chen Zeng-Qiang Yuan Zhu-Zhi |
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Affiliation: | Department of Automation, Nankai University, Tianjin 300070, China; Department of Automation, Nankai University, Tianjin 300070, China;College of Software, Nankai University, Tianjin 300070, China |
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Abstract: | A new kind of generalized reduced-order synchronization of different chaoticsystems is proposed in this paper. It is shown that dynamical evolution ofthird-order oscillator can be synchronized with the canonical projection ofa fourth-order chaotic system generated through nonsingular statestransformation from a cell neural net chaotic system. In this sense, it issaid that generalized synchronization is achieved in reduced-order. Thesynchronization discussed here expands the scope of reduced-ordersynchronization studied in relevant literatures. In this way, we can achievegeneralized reduced-order synchronization between many famous chaoticsystems such as the second-order D"{u}ffing system and the third-orderLorenz system by designing a fast slide mode controller. Simulation resultsare provided to verify the operation of the designed synchronization. |
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Keywords: | chaos generalized reduced-order synchronizationfast slide controller |
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