Fuzzy stability and synchronization of hyperchaos systems

Junwei Wang, Xiaohua Xiong, Meichun Zhao and Yanbin Zhang

Chaos, Solitons & Fractals, 2008, vol. 35, issue 5, 922-930

Abstract: This paper studies stability and synchronization of hyperchaos systems via a fuzzy-model-based control design methodology. First, we utilize a Takagi–Sugeno fuzzy model to represent a hyperchaos system. Second, we design fuzzy-model-based controllers for stability and synchronization of the system, based on so-called “parallel distributed compensation (PDC)”. Third, we reduce a question of stabilizing and synchronizing hyperchaos systems to linear matrix inequalities (LMI) so that convex programming techniques can solve these LMIs efficiently. Finally, the generalized Lorenz hyperchaos system is employed to illustrate the effectiveness of our designing controller.

Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:5:p:922-930

DOI: 10.1016/j.chaos.2006.05.087

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