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Impulsive control for T-S fuzzy model-based chaotic systems. (English) Zbl 1151.93023
Summary: This paper provides an impulsive control scheme for chaotic systems based on Takagi-Sugeno (T-S) fuzzy models. Firstly, we utilize a T-S fuzzy model to represent a chaotic system. Secondly, using comparison methods, a general asymptotic stability criteria is derived for chaotic systems with impulsive effects. Finally, as an illustrative example, Lorenz system is considered to verify the effectiveness of the control scheme.

MSC:
93C42 Fuzzy control/observation systems
93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C10 Nonlinear systems in control theory
34C28 Complex behavior and chaotic systems of ordinary differential equations
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