GFHM Model and Control for Uncertain Chaotic System
This paper develops a fuzzy hyperbolic control method for chaotic continuous-time systems with uncertainties. First, the generalized fuzzy hyperbolic model (GFHM) is used to model unknown part of a chaotic system. Second, based on Lyapunov functional approach, a sufficient condition for a fuzzy hyperbolic controller and a state feedback controller is given such that the closed-loop system is asymptotic stable. Moreover, considering the influence of both approximation error and external disturbance, fuzzy hyperbolic H ∞ control scheme is addressed . All the results are given in terms of LMI forms, the effectiveness of the proposed method is shown by a simulation example.
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