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LMI-based fuzzy stability and synchronization of Chen’s system. (English) Zbl 1065.37503

Summary: This Letter presents fuzzy model-based designs for Chen’s chaotic stability and synchronization. The T-S fuzzy model for Chen’s system is exactly derived. Then the asymptotic stability and synchronization are achieved by solving LMI’s design problem. The fuzzy controllers for stability and synchronization with full state variables and single state variable are got respectively by solving LMIs using Matlab. Numerical simulations are shown to verify the results.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)

Software:

Matlab
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References:

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